Solution of 3D Singular Electrostatic Problems Using Adaptive hp-FEM
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F07%3A00088314" target="_blank" >RIV/61388998:_____/07:00088314 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/07:03133758
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Solution of 3D Singular Electrostatic Problems Using Adaptive hp-FEM
Original language description
For most numerical methods, accurate resolution of singularities occurring at sharp re-entrant corners or edges of electrically conductive objects is highly problematic. Finite differences are known for their inability to treat complex geometries, and traditional low-order (piecewise-linear or quadratic) finite element methods (FEM) exhibit extremely poor convergence. Nowadays, the best numerical method for the solution of most singular problems is the adaptive hp-version of the FEM (hp-FEM). This method is based on spatial refinements toward the singularities combined with optimal variation of polynomial degrees on the elements. The hp-FEM has mathematically proven exponential convergence, and also in practical computations typically it is by severalorders of magnitudes faster than standard FEM.
Czech name
Řešení 3D elektrostatických problémů se singulaturou s použitím adaptivní hp-FEM
Czech description
Článek je zaměřen na modelování 3D elektrostatických polí se singularitami hp-metodou konečných prvků s automatickou adap-tivitou. Metodika je ilustrována na příkladu Ficherova rohu.
Classification
Type
D - Article in proceedings
CEP classification
JA - Electronics and optoelectronics
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)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering 2007
ISBN
978-80-01-03784-3
ISSN
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e-ISSN
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Number of pages
2
Pages from-to
350-351
Publisher name
Czech Technical University
Place of publication
Prague
Event location
Prague
Event date
Sep 13, 2007
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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