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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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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

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