39 citations · 114 across the 35 of their papers we have counts for
5 papers · 1 filter
Adaptive Crouzeix-Raviart Boundary Element Method
Norbert Heuer, Michael Karkulik
For the non-conforming Crouzeix-Raviart boundary elements from [Heuer, Sayas: Crouzeix-Raviart boundary elements, Numer. Math. 112, 2009], we develop and analyze a posteriori error…
Symmetric coupling of LDG-FEM and DG-BEM
Norbert Heuer, Salim Meddahi, Francisco-Javier Sayas
We analyze a discontinuous Galerkin FEM-BEM scheme for a second order elliptic transmission problem posed in the three-dimensional space. The symmetric variational formulation is d…
Ultra-weak formulation of a hypersingular integral equation on polygons and DPG method with optimal test functions
Norbert Heuer, Felipe Pinochet
We present an ultra-weak formulation of a hypersingular integral equation on closed polygons and prove its well-posedness and equivalence with the standard variational formulation.…
A posteriori error analysis for a boundary element method with non-conforming domain decomposition
Catalina Domínguez, Norbert Heuer
We present and analyze an a posteriori error estimator based on mesh refinement for the solution of the hypersingular boundary integral equation governing the Laplacian in three di…
A mixed method for Dirichlet problems with radial basis functions
Norbert Heuer, Thanh Tran
We present a simple discretization by radial basis functions for the Poisson equation with Dirichlet boundary condition. A Lagrangian multiplier using piecewise polynomials is used…