Journal article
Discrete maximum principle for poisson equation with mixed boundary conditions solved by hp-FEM
- Abstract:
- We present a proof of the discrete maximum principle (DMP) for the 1D Poisson equation -u″=f equipped with mixed Dirichlet-Neumann boundary conditions. The problem is discretized using finite elements of arbitrary lengths and polynomial degrees (hp-FEM). We show that the DMP holds on all meshes with no limitations to the sizes and polynomial degrees of the elements. © 2009 Global Science Press.
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Authors
- Journal:
- Advances in Applied Mathematics and Mechanics More from this journal
- Volume:
- 1
- Issue:
- 2
- Pages:
- 201-214
- Publication date:
- 2009-01-01
- EISSN:
-
2075-1354
- ISSN:
-
2070-0733
- Pubs id:
-
pubs:398183
- UUID:
-
uuid:fa8a2b21-81cf-4877-aad8-20d87cce83fc
- Local pid:
-
pubs:398183
- Source identifiers:
-
398183
- Deposit date:
-
2013-11-16
Terms of use
- Copyright date:
- 2009
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