An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control
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Springer
2023
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Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10915-023-02153-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7640 |
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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 |
8.891145 |