Abstract

A boundary element method is proposed for solving an inhomogeneous biharmonic equation with a right-hand side containing the sought function and its derivatives. The accuracy of numerical results obtained for a test problem is analyzed by comparing them with its analytical solution. The flow through a porous medium with a nonuniform permeability distribution based on the Brinkman model is computed.

中文翻译：

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求解右手边含有未知函数及其导数的非齐次双调和方程的边界元法

摘要

提出了一种边界元方法来求解右侧包含所求函数及其导数的非齐次双调和方程。通过将测试问题的数值结果与其解析解进行比较来分析为测试问题获得的数值结果的准确性。基于 Brinkman 模型计算通过具有非均匀渗透率分布的多孔介质的流量。