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The Block-Element Method in Expansion of the Solutions of Complex Boundary-Value Problems in Mechanics
Doklady Physics ( IF 0.6 ) Pub Date : 2021-02-26 , DOI: 10.1134/s1028335820120022 V. A. Babeshko , O. V. Evdokimova , O. M. Babeshko , V. S. Evdokimov
中文翻译:
扩展力学中复杂边值问题解的块元法
更新日期:2021-02-28
Doklady Physics ( IF 0.6 ) Pub Date : 2021-02-26 , DOI: 10.1134/s1028335820120022 V. A. Babeshko , O. V. Evdokimova , O. M. Babeshko , V. S. Evdokimov
Abstract
An exact solution in the first quadrant of a plane boundary-value problem of the second kind for the dynamic Lamé elasticity equations is constructed, probably for the first time, and is expanded in terms of solutions of boundary-value problems for the Helmholtz equation. These solutions are presented in the form of packed block elements.
中文翻译:
扩展力学中复杂边值问题解的块元法
摘要
动态Lamé弹性方程的第二类平面边值问题在第一象限中的精确解可能是第一次建立,并且根据Helmholtz方程的边值问题解进行了扩展。这些解决方案以打包块元素的形式提供。