Mortar Boundary Elements

Mortar Boundary Elements

We establish a mortar boundary element scheme for hypersingular boundary integral equations representing elliptic boundary value problems in three dimensions. We prove almost quasi-optimal convergence of the scheme in broken Sobolev norms of order 1/2. Sub-domain decompositions can be geometrically non-conforming and meshes must be quasi-uniform only on sub-domains. Numerical results confirm th...

Multigrid Methods for Mortar Finite Elements

The Feti Method for Mortar Finite Elements

Application of mortar elements to diffuse-interface methods

An adaptive 2D mesh refinement technique based on mortar spectral elements applied to diffuse-interface methods is presented. The refinement algorithm tracks the movement of the 2D diffuse-interface and subsequently refines the mesh locally at that interface, while coarsening the mesh in the rest of the computational domain, based on error estimators. Convergence of the method is validated usin...

A multiscale preconditioner for stochastic mortar mixed finite elements

0045-7825/$ see front matter 2010 Elsevier B.V. A doi:10.1016/j.cma.2010.10.015 ⇑ Corresponding author. E-mail address: [email protected] (T. Wilde The aim of this paper is to introduce a new approach to efficiently solve sequences of problems that typically arise when modeling flow in stochastic porous media. The governing equations are based on Darcy’s law with a stochastic permeability...