Back to Search
Start Over
Penalization of Robin boundary conditions.
- Source :
-
Applied Numerical Mathematics . Oct2015, Vol. 96, p134-152. 19p. - Publication Year :
- 2015
-
Abstract
- This paper is devoted to the mathematical analysis of a method based on fictitious domain approach. Boundary conditions of Robin type (also known as Fourier boundary conditions) are enforced using a penalization method. A complete description of the method and a full analysis are provided for univariate elliptic and parabolic problems using finite difference approximation. Numerical evidence of the predicted estimations is provided as well as numerical results for a nonlinear problem and a first extension of the method in the bivariate situation is proposed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01689274
- Volume :
- 96
- Database :
- Academic Search Index
- Journal :
- Applied Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 108613307
- Full Text :
- https://doi.org/10.1016/j.apnum.2015.06.001