An Immersed Interface FEM for Elliptic Problems with Local Own Sources
Abstract
FEM for a linear and nonlinear elliptic interface problems with discontinuous coefficients is presented. The standard basis functions are modified near the interface in such a way that they satisfy the jump conditions on the interface. Convergence of the method is discussed and numerical experiments, confirming second order of accuracy are shown.
- Publication:
-
1st International Conference on Applications of Mathematics in Technical and Natural Sciences
- Pub Date:
- October 2009
- DOI:
- 10.1063/1.3265347
- Bibcode:
- 2009AIPC.1186..335G
- Keywords:
-
- mechanical contact;
- functional analysis;
- finite element analysis;
- 68.03.-g;
- 02.30.Sa;
- 02.70.Dh;
- Gas-liquid and vacuum-liquid interfaces;
- Functional analysis;
- Finite-element and Galerkin methods