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The regularization Bspline wavelet method for the inverse boundary problem of the Laplace equation from noisy data in an irregular domain Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20210120
Xinming Zhang; Wenxuan ZengThis study introduces a high accuracy and noiserobust numerical method, that is, the regularization Bspline wavelet method (RBSWM), for solving the inverse boundary problem of the Laplace equation with noisy data in an irregular domain. The problem that we consider is directly discretized by the Bspline wavelet scaling functions. To obtain a stable numerical solution of the problem for noisy data

Robust modelling of implicit interfaces by the scaled boundary finite element method Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20210113
Shaima M. Dsouza; A.L.N. Pramod; Ean Tat Ooi; Chongmin Song; Sundararajan NatarajanIn this paper, we propose a robust framework based on the scaled boundary finite element method to model implicit interfaces in twodimensional differential equations in nonhomegeneous media. The salient features of the proposed work are: (a) interfaces can be implicitly defined and need not conform to the background mesh; (b) Dirichlet boundary conditions can be imposed directly along the interface;

Efficient storage and interpolation of acoustic transfer functions [EABED2000248 Revision #2] Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20210108
Hanbo Jiang; Siyang Zhong; Xin Zhang; Xun HuangThe acoustic transfer function is a wellknown concept for efficient computations of acoustic analysis with various boundary conditions and sound sources. It is first proposed to accelerate the boundary element analysis by interpolating instead of directly assembling influence matrices. To further improve its computational efficiency, a new frequencyinterpolation algorithm is proposed by incorporating

The inclusionbased boundary element method (iBEM) for virtual experiments of elastic composites Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20210107
Chunlin Wu; Huiming YinThis paper introduces the inclusion based boundary element method (iBEM) to calculate the elastic fields and effective modulus of a composite containing particles for both three dimensional (3D) and two dimensional (2D) cases. Considering a finite bounded domain containing many inclusions, the isotropic Green’s function has been used to obtain the elastic field caused by source fields on inclusion

Localized method of fundamental solutions for two and threedimensional transient convectiondiffusionreaction equations Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20210102
Shuainan Liu; PoWei Li; ChiaMing Fan; Yan GuThis paper investigates the use of the localized method of fundamental solutions (LMFS) for the numerical solution of general transient convectiondiffusionreaction equation in both two(2D) and threedimensional (3D) materials. The method is developed as a generalization of the author's earlier work on Laplace's equation to transient convectiondiffusionreaction equation. The popular CrankNicolson

Pennyshaped crack simulation with a single high order smooth boundary element Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201231
Donghong He; Zhao Guo; Hang MaBased on Lagrange interpolation polynomials, the pennyshaped cracks placed on but not limited to flat surface are simulated with a single high order smooth boundary element in the present work. By taking advantage of geometrical features of circular shape such as the symmetry and periodicity, the smoothness within the element is realized by repeated use of real nodes for interpolation in both the

RIIGABEM in inhomogeneous heat conduction problems Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201231
Chuang Xu; Chunying DongThe isogeometric analysis boundary element method (IGABEM) has great potential in the simulation of heat conduction problems due to its exact geometric representation and good approximation properties. In this paper, the radial integration IGABEM (RIIGABEM) is proposed to solve isotropic heat conduction problems in inhomogeneous media with heat source. Similar to traditional BEM, the domain integrals

A cellbased smoothed finite element method stabilized by implicit SUPG/SPGP/Fractional step method for incompressible flow Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201230
Mingyang Liu; Guangjun Gao; Huifen Zhu; Chen JiangIn this paper, the exhaustive usage and implementation of StreamlineUpwind/PetrovGalerkin method combining with Stabilized Pressure Gradient Projection (SUPG/SPGP) for incompressible NavierStokes equations are investigated. We validate and explore the behavior of cellbased smoothed finite element method (CSFEM) and finite element method (FEM) based on SUPG/SPGP on five numerical examples. First

A hybridTrefftz finite element platform for solid and porous elastodynamics Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201228
Ionut Dragos Moldovan; Natàlia Climent; Elena Daniela Bendea; Ildi Cismasiu; António Gomes CorreiaHybridTrefftz finite elements are well suited for modeling the response of materials under highly transient loading. Their approximation bases are built using functions that satisfy exactly the differential equations governing the problem. This option embeds relevant physical information into the approximation basis and removes the wellknown sensitivity of the conventional finite elements to high

General timedependent Green's functions of line forces in a twodimensional, anisotropic, elastic, and infinite solid Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201228
Ernian PanIn this paper, we derive analytical timedependent Green's functions in a twodimensional, anisotropic elastic, and infinite solid. It is based on the Stroh formalism combined with application of the Cauchy's residue theorem. Final expressions of the Green's function are in terms of simple finite line integral from 0 to 2π. The timedependence of the line forces can be impulsive, Heaviside, or within

Characterization and integration of the singular test integrals in the method‐of‐moments implementation of the electric‐field integral equation Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201229
Brian A. Freno; William A. Johnson; Brian F. Zinser; Donald R. Wilton; Francesca Vipiana; Salvatore CampioneIn this paper, we characterize the logarithmic singularities arising in the method of moments from the Green’s function in integrals over the test domain, and we use two approaches for designing geometrically symmetric quadrature rules to integrate these singular integrands. These rules exhibit better convergence properties than quadrature rules for polynomials and, in general, lead to better accuracy

Vibration analysis of 2Dfunctionally graded nanobeams using the nonlocal theory and meshless method Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201226
Isa AhmadiIn this study a formulation based on the meshless method is developed to study the dynamic behavior of 2Dfunctionally graded nanobeams. The First order shear deformation theory is employed to model the behavior of the functionally graded beam and the small size effect is considered by employing the nonlocal theory of elasticity. The material properties are functionally graded both in the thickness

Frank Rizzo and boundary integral equations Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201225
G. Fairweather; P.A. Martin; T.J. RudolphiFrank Rizzo was a pioneer in what he called boundary integral equation methods. With his students and colleagues, he developed theory and algorithms for many problems of engineering interest. In this memorial paper, we review his life and work. A list of his publications is included.

Combined shape and topology optimization for sound barrier by using the isogeometric boundary element method Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201224
Fuhang Jiang; Wenchang Zhao; Leilei Chen; Changjun Zheng; Haibo ChenThis study presents a combined shape and topology optimization method for designing sound barriers by using the isogeometric boundary element method. The objective function of combined optimization is defined as the sound pressure in reference plane. The sensitivity analysis for the combined optimization is conducted by using either the direct differentiation method or the adjoint variable method.

A fundamental solution for radiofrequency heating due to a point electrical current in an infinite spatial domain: Numerical proofs with MATHEMATICA and ANSYS Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201223
Yansheng Jiang; Peng Li; Yue Li; Chong WangRadiofrequency ablation (RFA) is a minimally invasive therapy widely used for the treatment of tumours. Mathematical modelling of RFA allows medical practitioners to understand the involved electrothermal transport, thereby helping to improve the effectiveness of prescribed treatments. To this end, we aimed to deduce and numerically prove an analytical transienttime solution for temperature due to

Coupling the BEM and analytical solutions for the numerical simulation of transient heat conduction in a heterogeneous solid medium Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201223
Cibele Cornejo Jacinto; Luiz Alkimin de Lacerda; António TadeuThis paper simulates the threedimensional transient heat diffusion conduction in a solid medium containing multilayered cylindrical circular heterogeneities using a coupling formulation between the boundary element method (BEM) and analytical solutions. The analytical solutions are incorporated as Green's functions, thereby making the discretization of the interfaces of the multilayered system unnecessary;

TwoDimensional magnetotelluric modelling based on the numerical manifold method Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201218
Jiawei Liang; Defu Tong; Fei Tan; YuYong Jiao; Chongwei YanAs a numerical method based on the Galerkin variation, the numerical manifold method (NMM) adopts a dual covering system, which is convenient for constructing highorder manifold elements and performing adaptive analysis. In this paper, the NMM is used to simulate the electromagnetic response based on the structure of the undulating terrain existing in actual geophysical exploration. The relevant system

Simulating elastic wave propagation in 3D layered transversely isotropic halfspace using a special IBEM: Hill topography as an example Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201217
Jianwen Liang; Mengtao Wu; Zhenning BaThis paper provides an indirect boundary element method (IBEM) to elaborate elastic wave propagation in a layered anisotropic medium (simplified as transversely isotropic, TI) with threedimensional (3D) irregular free surfaces. The present method using a modified dynamic Green's function for point loads acting on an internal inclined plane as its kernel function, which has the merits of handling

Short communication: The generalized finite difference method for electroelastic analysis of 2D piezoelectric structures Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201218
Hao Xia; Yan GuSimulating the response of piezoelectric devices requires solving the coupled mechanical and electrical partial differential equations. This short communication documents the first attempt to apply the meshless generalized finite difference method (GFDM) for the electroelastic analysis of piezoelectric structures. In the present method, the entire computational domain is represented by a cloud of scattered

On the meshfree particle methods for fluidstructure interaction problems Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201216
Farrukh Mazhar; Ali Javed; Jing Tang Xing; Aamer Shahzad; Mohtashim Mansoor; Adnan Maqsood; Syed Irtiza Ali Shah; Kamran AsimThis paper presents a review of recent progress made towards the applications of the meshfree particle methods (MPMs) for solving coupled fluidstructure interaction (FSI) problems. Meshfree methods are categorized based on their mathematical formulation and treatment of computational data points. The advantages and limitations of these methods, particularly related to FSI applications, have been identified

Simulating electrohydrodynamics with smoothed particle hydrodynamics based on a chargeconservative approach Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201217
Liu Hu; Chen Fuzhen; Wang Ping; Wang Fengshan; Qiang HongfuThis paper presents an EHD model for SPH based on a chargeconservative approach. Compared with the leaky dielectric model, the EHD model used in this paper was charge conserved, since no term in the charge conservation equation was neglected. An implicit SPH formula for calculating the electric potential from the electrical properties of the previous time step was constructed, based on the electric

Solving MongeAmpère equation in 2D and 3D by Generalized Finite Difference Method Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201217
J.J. Benito; A. García; L. Gavete; M. Negreanu; F. Ureña; A.M. VargasIn this paper we derive the discretization of the nonlinear MongeAmpère equation by means of the explicit formulae of the meshless Generalized Finite Difference Method (GFDM) in both two and three dimensional settings (2D and 3D). To do so we implement the Cascadic iterative algorithm. We provide a rigorous proof of the consistency of the GFDM for this elliptic equation and present several examples

An integrated smoothed particle hydrodynamics method for numerical simulation of the droplet impacting with heat transfer Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201216
G.Y. Li; X.J. Ma; B.W. Zhang; H.W. XuAccording to the complex flow dynamics of droplets impacting on the wall, an integrated smoothed particle hydrodynamics (SPH) method is developed by a series of improved techniques including artificial viscosity, kernel gradient correction (KGC) technique, boundary treatment and so on, combined with the surface tension based on the continuous surface force (CSF) model in this paper. This method is

Three dimensional nonlinear BEM formulations for the mechanical analysis of nonhomogeneous reinforced structural systems Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201210
Antonio Rodrigues Neto; Edson Denner LeonelThis study presents a coupling formulation for the mechanical modelling of nonhomogeneous reinforced 3D structural systems. The coupling of dissimilar reinforced materials and components provides efficient designs. Particularly, it enables high stiffness and low weight mechanical components, which are largely desired in several engineering applications. In the present study, the Boundary Element Method

A stable RBF partition of unity local method for elliptic interface problems in two dimensions Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201211
Faranak Gholampour; Esmail Hesameddini; Ameneh TaleeiThe interface problems are faced with multiple connected domains and consequently, their solutions or derivatives might be discontinuous. This paper proposes the use of collocation based radial basis function partition of unity method (RBFPUM) for solving twodimensional elliptic interface problems. The RBFPUM is a local method that allows overcoming the high computational cost associated with the

A modification of the method of fundamental solutions for solving 2D problems with concave and complicated domains Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201210
N. Koochak Dezfouli; M.R. Hematiyan; M. MohammadiTo solve various problems in complicated and concave domains by the method of fundamental solutions (MFS), it is required to consider a large number of source and collocation points that increases the computational time of the analysis. This paper suggests a modification to the MFS, which can make it more efficient and reliable for solving applied problems in complicated domains. In the proposed method

Comparisons of method of fundamental solutions, method of particular solutions and the MFSQR; stability analysis Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201210
LiPing Zhang; ZiCai Li; HungTsai Huang; MingGong LeeThe goals of this paper are twofold: selection of pseudoboundaries for sources nodes in the method of fundamental solutions (MFS), and comparisons of the MFS, the method of particular solutions (MPS) and the MFSQR of Antunes. To pursue better pseudoboundaries, we provide new estimates of the condition number (Cond) by the MFS for arbitrary pseudoboundaries, and propose a new sensitivity index of

A new DBEM for solving crack problems in arbitrary dissimilar materials Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201209
WeiZhe Feng; LanFang Gao; XiaoWei Gao; YanWei Dai; Wei QianIn this paper, a new and efficient Dual Boundary Element Method (DBEM) named Dual BoundaryInterface Integral Equation Method (DBIIEM) is presented to solve crack problems in objects composed of arbitrary number of different materials. The conventional DBEM has been widely used in crack analysis and proved to be one of the most effective BEM for solving crack problems, however it cannot be directly

A coupled hydromechanical nonordinary statebased peridynamics for the fissured porous rocks Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201208
Yundong Shou; Xiaoping ZhouA novel coupled hydromechanical nonordinary statebased peridynamics is proposed to investigate hydromechanical problems in fissured porous rocks. The hydraulic bond is introduced to the coupled numerical model to transfer the water flow stored in material points. The flow equations for fissured porous rocks are obtained in the framework of peridynamics. Then, the relationship between peridynamic

A systematic derived sinh based method for singular and nearly singular boundary integrals Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201208
Guizhong Xie; Ke Li; Yudong Zhong; Hao Li; Bing Hao; Wenliao Du; Chunya Sun; Haoqi Wang; Xiaoyu Wen; Liangwen WangWhen using boundary element analysis for thin walled structures, to ensure the computational accuracy, special considerations on the singular and nearly singular integrals are indispensible. The real issue about the singular and nearly singular integrals is how to remove the near singularity (for singular and nearly singular integrals) and singularity (for singular integrals only). The near singularity

Analysis of transient uncoupled thermoelastic problems involving moving point heat sources using the method of fundamental solutions Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201203
M. Mohammadi; M.R. HematiyanThe method of fundamental solutions (MFS) is very effective for analysis of problems with moving domain loads. In this work, the MFS is formulated for solution of two dimensional transient uncoupled thermoelastic problems involving moving point heat sources. At first, the timedependent temperature field is obtained by solving the transient heat conduction equation involving a moving heat source term

Grout penetration process simulation and grouting parameters analysis in fractured rock mass using numerical manifold method Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201203
Xuewei Liu; Cheng Hu; Quansheng Liu; Jun HeGrouting is a commonly used technique in rock engineering to enhance the joint strength and improve the stability of surrounding rock. Grout penetration characteristic is controlled by grouting parameters and has a significant role on practice. In the study, a numerical manifold method (NMM) for grout penetration process simulation in fractured rock mass is firstly proposed. The fluid flow behaviour

Nonlinear ship motion with forward speed in waves based on 3D time domain hybrid Green function method Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201203
K. Tang; J.X. Wang; X. Chen; D.P. Jiang; Y.L. LiIn this research, based on threedimensional (3D) time domain hybrid Green function method, the timedomain nonlinear initial boundary value problem of a ship motion in waves with forward speed is solved. The 3D Rankine source and 3D time domain free surface Green function are adopted to solve flow fields of the inner and the outer domains respectively. Meantime, the instantaneous wet surface during

A boundary elements only solution method for 3D micropolar elasticity Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201202
Gaël Pierson; Richard KouitatNjiwa; Pierre BravettiMicropolar elasticity belongs to the class of socalled multifields problems. The numerical solution of the associated field equations by the pure boundary element method (BEM) is available only for some 2D geometries. A judicious combination of the local point interpolation method with the pure BEM leads to a pure BEM solution procedure of 3D problems. The effectiveness of the approach is demonstrated

Semianalytical solution of electromagnetic wave scattering from PEC strip located at the interface of dielectricTI media Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201129
Pouria Barati; Behbod GhalamkariElectromagnetic wave scattering from a Perfect Electric Conductor (PEC) strip located at the interface of dielectricTopological Insulator (TI) medium by using Kobayashi Potential (KP) method for Transverse Magnetic (TM) and Transverse Electric (TE) polarization is represented and discussed. Initially, diffracted fields equations are expressed by integral equations terms that contain unknown weighting

Stochasticdeterministic boundary element modelling of transcranial electric stimulation using a three layer head model Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201130
Anna Šušnjara; Ožbej Verhnjak; Dragan Poljak; Mario Cvetković; Jure RavnikThis paper deals with the boundary element (BE) approach to modelling of transcranial electric stimulation as an alternative to the widely used finite element method (FEM). The advantages of the BE approach are listed in the paper and demonstrated on a computational example. The formulation is based on the quasistatic approximation of currents and voltages induced in living tissues while the head

A plane stress model of bondbased Cosserat peridynamics and the effects of material parameters on crack patterns Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201127
Xianyang Guo; Zhuang Chen; Xihua Chu; Ji WanA plane stress model of bondbased Cosserat peridynamics is proposed, of which the constitutive equations of Cosserat continuum are implemented. The rotation of the proposed bondbased Cosserat peridynamic model is independent with the translational displacement, and the couple stress is considered in the material points’ interaction. The proposed model can degenerate into bondbased peridynamics and

Numerical simulation of RayleighBénard convection and threephase RayleighTaylor instability using a modified MPS method Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201126
Faroogh Garoosi; Ahmad ShakibaeiniaThe main objective of the current work is to enhance consistency and capabilities of Moving Particle Semiimplicit (MPS) method for simulating a wide range of freesurface flows and convection heat transfer. For this purpose, two novel highorder gradient and Laplacian operators are derived from the Taylor series expansion and are applied for the discretization of governing equations. Furthermore,

Threedimensional analysis of heat conduction in anisotropic composites with thin adhesive/interstitial media by the boundary element method Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201126
Y.C. Shiah; RayYu Chang; M.R. HematiyanDue to extensive applications in engineering practice, analysis of heat transfer in threedimensional anisotropic composites has remained to be an important research topic. For the analysis, conventional numerical methods face modeling difficulties to different degrees when the thickness of component is very small. For this, modeling thin adhesive/interstitial media is usually ignored in conventional

A DRBEM approximation of the Steklov eigenvalue problem Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201112
Önder TürkIn this study, we propose a novel approach based on the dual reciprocity boundary element method (DRBEM) to approximate the solutions of various Steklov eigenvalue problems. The method consists in weighting the governing differential equation with the fundamental solutions of the Laplace equation where the definition of interior nodes is not necessary for the solution on the boundary. DRBEM constitutes

A comparison of highorder and plane wave enriched boundary element basis functions for Helmholtz problems Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201110
B. Gilvey; J. TrevelyanWhen undertaking a numerical solution of Helmholtz problems using the Boundary Element Method (BEM) it is common to employ loworder Lagrange polynomials, or more recently NonUniform Rational BSplines (NURBS), as basis functions. A popular alternative for high frequency problems is to use an enriched basis, such as the plane wave basis used in the Partition of Unity Boundary Element Method (PUBEM)

Isogeometric boundary element method for steadystate heat transfer with concentrated/surface heat sources Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201110
Quansheng Zang; Jun Liu; Wenbin Ye; Gao LinAn isogeometric boundary element method (IGABEM) is proposed for solving the steadystate heat transfer problems with concentrated/surface internal heat sources. The isogeometric boundary element method (IGABEM) possesses the advantages of both the isogeometric analysis (IGA) and the boundary element method (BEM), the nonuniform rational Bspline (NURBS) basis functions used in the (computeraided

A first dynamic population invasion study from reactivetelegraph equation and boundary element formulation Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201110
Roberto PettresThis paper presents applications of boundary element method (BEM) in engineering to numerically analyse the Telegraph equation in two dimensions for two cases. For this purpose, the mathematical model developed is called DBEM, uses a time independent fundamental solution and the Finite Difference Method is combined to BEM to approximate the derivative time terms and the Gauss Quadrature is used for

Wave interaction with multiple wavy porous barriers using dual boundary element method Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201105
K.G. Vijay; Chandra Shekhar Nishad; S. Neelamani; T. SahooThe gravity wave interaction with horizontally staggered multiple thin wavy porous barriers is analyzed under the assumption of potential flow theory. The dual boundary element method (DBEM) is used to solve the boundary value problem. The accuracy and reliability of the DBEM solutions are ascertained by comparing with known results in the literature and with an independently developed multidomain

Fast solver for uncertainty EM scattering problems by the perturbedbased MLFMA Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201103
YuSheng Li; Jun Wan; Zi He; RuShan ChenA novel fast algorithm is proposed to analyze the EM scattering from electrically large conducting targets with varying geometrical shapes. Firstly, the target surface can be constructed with several control points by using the nonuniform rational Bspline surface modeling method. More specifically, the surface integral equation can be rewritten in terms of these control points, which contains the

PTEBEM for wave drift forces based on hydrodynamic pressure integration Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201101
Wenyang Duan; Feiteng Meng; Jikang ChenTaylor Expansion Boundary Element Method(TEBEM) is an accurate numerical scheme for solving waves and floating bodies related potential problems, especially the induced velocity at the sharp corner. However, the TEBEM method introduces too many unknowns, resulting in a decrease in the computational efficiency. In this paper, a less time consuming method with similar numerical accuracy named Partial

A staggered explicitimplicit isogeometric formulation for large deformation flexoelectricity Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201021
Tran Quoc Thai; Xiaoying Zhuang; Harold S. Park; Timon RabczukFlexoelectricity is an electromechanical coupling occurring in dielectric materials that has recently attracted significant attention. The flexoelectric effect is described by a coupled, higherorder electromechanical set of equations that have typically been solved using a computationally expensive monolithic formulation. In the present work, we propose a staggered, explicitimplicit formulation that

A threedimensional, pversion BEM: Highorder refinement leveraged through regularization Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201022
Joshua P. Marshall; J.D. RichardsonNumerical results for polynomial (pversion) refinement in the threedimensional boundary element method are presented. Results are based on a weakly singular form of the gradient boundary element formulation in potential theory. The weakly singular formulation facilitates direct application of numerical quadrature, completely removing the need for closedform integration. The new results, which include

Extended precise integration solution to layered transversely isotropic unsaturated poroelastic media under harmonically dynamic loads Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201023
Zhi Yong Ai; Zi YeA fully coupled dynamic model is presented in this paper by considering the effect of matric suction, varying parameters in connection with saturation, stratification and transverse isotropy. This model can describe separate flows of two immiscible fluids in layered transversely isotropic unsaturated poroelastic media subjected to harmonically dynamic loads. The ordinary differential matrix equations

Numerical solutions of hypersingular integral equations for interface circular crack under axisymmetric loadings Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201023
Hao Chai; Yumei Bao; Zheng ZhangBased on the coupled oscillatory characteristic of mode1 and mode2 near the interface crack tip, one kind of element for the relative displacements of the upper and lower surfaces of the axisymmetric interface crack is constructed. A universal numerical method for solving hypersingular integral equations of axisymmetric interface circular crack is established. For arbitrary normal and shear axisymmetric

Numerical and experimental validation of an explicit meshfree method: With applications to material forming Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201023
Stephen P. Smith; Gary H. Menary; James Nixon; Brian G. FalzonMeshfree methods were introduced twentyfive years ago to overcome a range of issues faced by meshbased methods, which predominately relate to the issues of meshentanglement, which can result in poor accuracy. Although meshfree methods have progressed significantly over these years, the application of these techniques to realworld material forming problems is limited, despite the potential benefits

Meshless modeling of coupled transdermal pharmacokinetics with analytical validation Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201023
Anthony M. Khoury; Eduardo Divo; Vladimir V. Golubev; Alain J. KassabAn efficient localized collocation meshless computational approach is applied to the study of transdermal drug delivery (TDD). To validate the numerical technique, a onedimensional analytical solution is first derived for the set of coupled differential equations that govern the pharmacokinetic process in the twocompartment compound diffusion model. These equations consist of one partial differential

A dual interpolation precise integration boundary face method to solve twodimensional transient heat conduction problems Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201024
Le Yang; Jianming Zhang; Rui He; Weicheng LinIn this paper, we present a new numerical algorithm combining the dual interpolation boundary face method (DiBFM) with the precise integration method for solving the 2D transient heat conduction problem. In this new combined approach, the transient heat conduction problem is transformed from an initial boundary value problem to an initial value problem through a dual interpolation boundary face approach

Assessment of variational fundamental solution based elements in plate bending dynamics Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201024
Elsayed M. Elsheikh; Taha H.A. Naga; Youssef F. RashedIn this paper, an assessment of the accuracy performance of a new fundamental solution based element is carried out. Dynamic analysis of sheardeformable plate bending problems is considered. The element stiffness matrix is obtained by modified hybrid displacement variational statement. The mass matrix is computed using the relevant element shape functions. Free and forced vibrations are considered

A dual interpolation boundary face method for 3D elasticity Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201024
Jianming Zhang; Chuanming Ju; Pihua Wen; Xiaomin Shu; Weicheng Lin; Baotao ChiThe dual interpolation boundary face method (DiBFM) proposed recently has been successfully applied to solve various problems in two dimensions. Compared with the conventional boundary element method (BEM), it has been proved that the DiBFM has the advantages of higher accuracy, convergence rate and computational efficiency. In addition, the DiBFM is suitable to unify the conforming and nonconforming

A collocation method with space–time radial polynomials for inverse heat conduction problems Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201028
ChengYu Ku; ChihYu Liu; JingEn Xiao; ShihMeng Hsu; Weichung YeihA collocation method with space–time radial polynomials for solving two–dimensional inverse heat conduction problems (IHCPs) is presented. The space–time radial polynomial series function is developed for spatial and temporal discretization of the government equation within the space–time domain. Because boundary and initial data are assigned on the space–time boundaries, the numerical solution of

A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201030
J.A.M. Carrer; B.S. Solheid; J. Trevelyan; M. SeaidThis work presents a boundary element method formulation for the solution of the anomalous diffusion problem. By keeping the fractional time derivative as it appears in the governing differential equation of the problem, and by employing a Weighted Residuals Method approach with the steady state fundamental solution for anisotropic media playing the role of the weighting function, one obtains the boundary

Three dimensional modified BEM analysis of forward scattering problems in elastic solids Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201030
Chen Yang; Bin Wang; Zhenghua QianIn this paper, a threedimensional modified boundary element method (BEM) is proposed to solve the guided wave scattering problem by cavitytype flaws in an infinite plate. The aim of modification is to correct the artificial scattering introduced by inevitable modal truncation at farfield in the traditional BEM model. The farfield wave displacement fields beyond the BEM model are assumed to be the

An adaptive sparse kernel technique in greedy algorithm framework to simulate an anomalous solute transport model Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201017
Marzieh Raei; Hadi Roohani Ghehsareh; Ardelio GallettiIn the current work, an efficient and powerful computational technique is implemented to simulate an anomalous mobileimmobile solute transport process. The process is mathematically modelled as a timefractional mobileimmobile diffusion equation in the sense of RiemannLiouville derivative. Firstly, an implicit time integration procedure is used to semidiscretize the model in the time direction

Boundary moving least squares method for 3D elasticity problems Eng. Anal. Bound. Elem. (IF 2.884) Pub Date : 20201017
Zhentian Huang; Dong Lei; Zi Han; Ji LinThis paper presents a boundary moving least squares method (BMLS) for solving 3D linear elasticity problems. In the proposed method, moving least squares interpolant is used to construct the 1D shape function employing the boundary discrete points in each axis. Then, the Kronecker product is introduced to generate the tensor product points in the regular region coving the problem domain, which simply