Journal
IMA JOURNAL OF NUMERICAL ANALYSIS
Volume 35, Issue 3, Pages 1125-1149Publisher
OXFORD UNIV PRESS
DOI: 10.1093/imanum/dru032
Keywords
discrete functional inequalities; finite volume schemes; mixed boundary conditions; DDFV schemes
Categories
Funding
- European Research Council (ERC) [2009, 239983-NuSiKiMo]
Ask authors/readers for more resources
We prove several discrete Gagliardo-Nirenberg-Sobolev and Poincare-Sobolev inequalities for some approximations with arbitrary boundary values on finite volume meshes. The key point of our approach is to use the continuous embedding of the space BV(Omega) into LN/(N-1) (Omega) for a Lipschitz domain Omega subset of R-N, with N >= 2. Finally, we give several applications to discrete duality finite volume schemes which are used for the approximation of nonlinear and nonisotropic elliptic and parabolic problems.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available