Imposing orthogonality to hierarchic higher-order finite elements

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F07%3A00335929" target="_blank" >RIV/67985840:_____/07:00335929 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Imposing orthogonality to hierarchic higher-order finite elements

Original language description

We propose a new class of hierarchic higher-order finite elements suitable for the hp-finite element method discretization of symmetric linear elliptic problems. These elements use shape functions which are partially orthonormal on the reference domain under the energetic inner product induced by the elliptic problem. We present numerical experiments showing excellent conditioning properties of the new partially orthogonal shape functions compared to other popular sets of hierarchic shape functions.

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/GP201%2F04%2FP021" target="_blank" >GP201/04/P021: Adaptive change of the mesh for numerical solution of parabolic partial differential equations</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2007

Confidentiality

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

Name of the periodical

Mathematics and Computers in Simulation

ISSN

0378-4754

e-ISSN

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Volume of the periodical

76

Issue of the periodical within the volume

1-3

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

7

Pages from-to

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UT code for WoS article

000250841000033

EID of the result in the Scopus database

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