## Abstract A secondβorder finite difference scheme for mixed boundary value problems is presented. This scheme does not require the tangential derivative of the Neumann datum. It is designed for applications in which the Neumann condition is available only in discretized form. The secondβorder con
Simplified immersed interface methods for elliptic interface problems with straight interfaces
β Scribed by Xiufang Feng; Zhilin Li
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 249 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0749-159X
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π SIMILAR VOLUMES
## Abstract This work is a generalization of the immersed interface method for discretization of a nondiagonal anisotropic Laplacian in 2D. This firstβorder discretization scheme enforces weakly diagonal dominance of the numerical scheme whenever possible. A necessary and sufficient condition depen
## Abstract We solve elliptic interface problems using a discontinuous Galerkin (DG) method, for which discontinuities in the solution and in its normal derivatives are prescribed on an interface inside the domain. Standard ways to solve interface problems with finite element methods consist in enf