A comparison of simplicial and block finite elements
Result description
In this note we discuss and compare the performance of the finite element method (FEM) on two popular types of meshes - simplicial and block ones. A special emphasis is put on the validity of discrete maximum principles and on associated (geometric) meshgeneration/refinement issues in higher dimensions. As a result, we would recommend to carefully reconsider the common belief that the simplicial finite elements are very convenient to describe complicated geometries (which appear in real-life problems),and also that the block finite elements, due to their simplicity, should be used if the geometry of the solution domain allows that.
Keywords
finite element methodsimplesblocksdiscrete maximum principlemesh refinement
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A comparison of simplicial and block finite elements
Original language description
In this note we discuss and compare the performance of the finite element method (FEM) on two popular types of meshes - simplicial and block ones. A special emphasis is put on the validity of discrete maximum principles and on associated (geometric) meshgeneration/refinement issues in higher dimensions. As a result, we would recommend to carefully reconsider the common belief that the simplicial finite elements are very convenient to describe complicated geometries (which appear in real-life problems),and also that the block finite elements, due to their simplicity, should be used if the geometry of the solution domain allows that.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
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)
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
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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Result type
D - Article in proceedings
CEP
BA - General mathematics
Year of implementation
2010