Premium
Nitsche type mortaring for elliptic problems with corner singularities
Author(s) -
Heinrich B.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<522::aid-pamm522>3.0.co;2-j
Subject(s) - polygon mesh , domain decomposition methods , finite element method , mathematics , norm (philosophy) , poisson's equation , dirichlet distribution , type (biology) , dirichlet problem , gravitational singularity , domain (mathematical analysis) , mathematical analysis , geometry , boundary value problem , structural engineering , engineering , ecology , political science , law , biology
The paper deals with Nitsche type mortaring as a finite element method (FEM) for treating non‐matching meshes of triangles at the interface of some domain decomposition. The approach is applied to the Poisson equation with Dirichlet conditions for the case that the interface passes re‐entrant corners of the domain and local mesh refinement is applied. Some properties of the finite element scheme and error estimates in a discrete H 1 ‐like and in the L 2 ‐norm are proved.