Angle conditions for discrete maximum principles in higher-order FEM

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Angle conditions for discrete maximum principles in higher-order FEM
Original language description
This contribution reviews the general theory of the discrete Green's function and presents a numerical experiment indicating that the discrete maximum principle (DMP) fails to hold in the case of Poisson problem on any uniform triangulation of a triangular domain for orders of approximation three and higher. This extends the result [Computing 27, 145-154(1981)] that the Laplace equation discretiyed bz the higher-order FEM sarisfies the DMP on a patch of triangular elements in exceptional cases only.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Numerical Mathematics and Advanced Applications 2009
ISBN
978-3-642-11794-7
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
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Publisher name
Springer
Place of publication
Berlin
Event location
Uppsala
Event date
Jun 29, 2009
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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