A Posteriori Error Estimate and Mesh Adaptation for the Numerical Solution of the Richards Equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10472964" target="_blank" >RIV/00216208:11320/23:10472964 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-20432-6_12" target="_blank" >https://doi.org/10.1007/978-3-031-20432-6_12</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-20432-6_12" target="_blank" >10.1007/978-3-031-20432-6_12</a>

Result language
angličtina
Original language name
A Posteriori Error Estimate and Mesh Adaptation for the Numerical Solution of the Richards Equation
Original language description
We solve the Richards equation, describing porous media flows, by the space-time discontinuous Galerkin method. We derive a posteriori error estimates using the spatial and temporal reconstructions and obtain an upper bound of the error measured in the dual norm with any unknown constant. We present a numerical example demonstrating the use of the error estimators for a practical problem.
Czech name
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Czech description
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Project
<a href="/en/project/GA20-01074S" target="_blank" >GA20-01074S: Adaptive methods for the numerical solution of partial differential equations: analysis, error estimates and iterative solvers</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1
ISBN
978-3-031-20431-9
ISSN
1439-7358
e-ISSN
2197-7100
Number of pages
16
Pages from-to
209-224
Publisher name
Springer Nature Switzerland AG
Place of publication
Cham
Event location
Wien
Event date
Jul 12, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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