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An Indirect Boundary Integral Equation Method for the Biharmonic Equation
SIAM Journal on Numerical Analysis, 1994An indirect boundary integral equation method for solving the Dirichlet problem for the biharmonic equation is proposed. For the numerical solution, a discrete Galerkin method is used and a complete numerical analysis in a suitable Sobolev space is given.
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Boundary Integral Equations and Their Approximations
2019The local problems in the definition of basis functions for the BEM-based FEM are treated by means of boundary integral equations. This chapter gives a short introduction into this topic with a special emphasis on its application in the BEM-based FEM.
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Singular Boundary Integral Equations
2013In this chapter we will consider one-dimensional singular integral equations involving Cauchy principal values that arise from boundary value problems for holomorphic functions in the classical Holder space setting. The investigations of these integral equations with Cauchy kernels by Gakhov, Muskhelishvili, Vekua, and others have had a great impact on
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