The maximum angle condition is not necessary for convergence of the finite element method

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00371026" target="_blank" >RIV/67985840:_____/12:00371026 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s00211-011-0403-2" target="_blank" >http://dx.doi.org/10.1007/s00211-011-0403-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00211-011-0403-2" target="_blank" >10.1007/s00211-011-0403-2</a>

Result language

angličtina

Original language name

The maximum angle condition is not necessary for convergence of the finite element method

Original language description

We show that the famous maximum angle condition in the finite element analysis is not necessary to achieve the optimal convergence rate when simplicial finite elements are used to solve elliptic problems. This condition is only sufficient. In fact, finite element approximations may converge even though some dihedral angles of simplicial elements tend to ?.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/IAA100190803" target="_blank" >IAA100190803: The finite element method for higher dimensional problems</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Numerische Mathematik

ISSN

0029-599X

e-ISSN

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Volume of the periodical

120

Issue of the periodical within the volume

1

Country of publishing house

DE - GERMANY

Number of pages

10

Pages from-to

79-88

UT code for WoS article

000298647200004

EID of the result in the Scopus database

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