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An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control

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Bibliographic Details
Main Authors: Vít, Dolejší, Georg, May
Format: Book
Language:English
Published: Springer 2023
Subjects:
space-time cylinder Ω×(0,T)
L∞(0,T;Lq(Ω))-norm
Online Access:https://link.springer.com/article/10.1007/s10915-023-02153-1
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7640
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spelling oai:localhost:PNK-76402023-04-06T07:11:09Z An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control Vít, Dolejší Georg, May space-time cylinder Ω×(0,T) L∞(0,T;Lq(Ω))-norm CC BY We propose an efficient mesh adaptive method for the numerical solution of time-dependent partial differential equations considered in the fixed space-time cylinder Ω×(0,T). We employ the space-time discontinuous Galerkin method which enables us to use different meshes at different time levels in a natural way. The mesh adaptive algorithm is based on control of the interpolation error in the L∞(0,T;Lq(Ω))-norm. 2023-04-06T07:11:09Z 2023-04-06T07:11:09Z 2023 Book https://link.springer.com/article/10.1007/s10915-023-02153-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7640 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic space-time cylinder Ω×(0,T)
L∞(0,T;Lq(Ω))-norm
spellingShingle space-time cylinder Ω×(0,T)
L∞(0,T;Lq(Ω))-norm
Vít, Dolejší
Georg, May
An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control
description CC BY
format Book
author Vít, Dolejší
Georg, May
author_facet Vít, Dolejší
Georg, May
author_sort Vít, Dolejší
title An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control
title_short An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control
title_full An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control
title_fullStr An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control
title_full_unstemmed An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control
title_sort anisotropic hp-mesh adaptation method for time-dependent problems based on interpolation error control
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10915-023-02153-1
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7640
_version_ 1762456094202920960
score 8.881002

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