Abstract The dual-mesh finite domain method (DMFDM) proposed by Reddy (2019)[1] is used to study the steady-state convection–diffusion problems in 1D and 2D. In the DMFDM, one mesh of finite elements for the approximation of the domain and primary variables and another mesh of control domains, which also covers the whole domain, to satisfy the governing differential equations are used. The approach is distinguished from both the finite element method and the finite volume method, although the method shares the desirable features of both methods. Numerical examples are presented to illustrate the methodology and accuracy compared to the finite element and finite volume solutions.

中文翻译：

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稳态对流扩散问题的双网格有限域方法

摘要 Reddy (2019)[1] 提出的双网格有限域法（DMFDM）用于研究一维和二维稳态对流扩散问题。在 DMFDM 中，使用一个用于近似域和主变量的有限元网格和另一个控制域网格，它也覆盖整个域，以满足控制微分方程。该方法不同于有限元方法和有限体积方法，尽管该方法具有两种方法的理想特征。给出了数值例子来说明与有限元和有限体积解决方案相比的方法和准确性。