Boundary Element Method for Solving an Inhomogeneous Biharmonic Equation with a Right-Hand Side Containing the Unknown Function and Its Derivatives

Abstract

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.