Sparse \(p\)-version BEM for first kind boundary integral equations with random loading
The authors study the application of the boundary element method (BEM) to solve the integral equation \[ -\frac{1}{2\pi}\int_{\Gamma} \Phi(x,y)u(y)ds_{y}=g(x) \] in the space \(H^{1/2}(\Gamma)\), where the kernel \(\Phi(x,y)=\log\|x-y\|\). The determination of an approximate solution of this equation uses the notion of the tensor product of two Sobolev spaces.
scientific article; zbMATH DE number 5608053