The discretization of first kind boundary integral equations leads in general to a dense
system of linear equations, whose spectral condition number depends on the discretization …

Jacobi interpolation approximations and their applications to singular differential equations Page
1 Advances in Computational Mathematics 14: 227–276, 2001. © 2001 Kluwer Academic …

Domain decomposition methods are designed to deal with coupled or transmission
problems for partial differential equations. Since the original boundary value problem is …

In recent years mathematicians and researchers within the approximation theory community
have become increasingly interested in using tools from approximation theory to develop …

For the numerical treatment of elliptic boundary value problems, the coupling of boundary
element methods (BEM) and finite element methods (FEM) is widely used. Usually, the FEM …

During the last decade essential progress has been achieved in the analysis and
implementation of multilevel/rnultigrid and domain decomposition methods to explore a …

We propose an almost optimal preconditioner for the iterative solution of the Galerkin
equations arising from a hypersingular integral equation on an interval. This preconditioning …

We analyze an additive Schwarz preconditioner for the p-version of the boundary element
method for the single layer potential operator on a plane screen in the three-dimensional …

We consider multilevel decompositions of piecewise constants on simplicial meshes that are
stable in $ H^{-s} $ for $ s\in (0, 1) $. Proofs are given in the case of uniformly and locally …

In this paper we analyze the hp-discretization of a boundary integral formulation for the
Signorini contact problem of the Laplacian. We prove convergence of the bem Galerkin …