Extended finite element method in mixed-hybrid model of singular groundwater flow
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F21%3A00008482" target="_blank" >RIV/46747885:24220/21:00008482 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.matcom.2020.12.018" target="_blank" >https://doi.org/10.1016/j.matcom.2020.12.018</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matcom.2020.12.018" target="_blank" >10.1016/j.matcom.2020.12.018</a>
Alternative languages
Result language
angličtina
Original language name
Extended finite element method in mixed-hybrid model of singular groundwater flow
Original language description
A model of groundwater flow in porous media influenced by wells (boreholes, channels) is considered. The model is motivated by the reduced dimension approach which suits fractured porous media problems, especially in granite rocks. The wells are modeled as lower dimensional 1d objects intersecting the surrounding bulk rock domain and causing singularities in the solution. The domains are discretized independently resulting in a mesh of mixed dimensions. The extended finite element methods (XFEM) with a proper enrichment is applied to couple the flow between the wells and the bulk rock and to better approximate the singularities. In this contribution, we derive and solve a mixed model for pressure and velocity. We suggest a new enrichment (similar to Stable generalized FEM) for velocity on top of standard zero order Raviart–Thomas finite elements. The properties of the suggested XFEM are validated on a set of numerical tests and the optimal convergence rate is demonstrated. Test cases both in 2d and 3d are presented.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics and Computers in Simulation
ISSN
0378-4754
e-ISSN
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Volume of the periodical
189
Issue of the periodical within the volume
SI
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
30
Pages from-to
207-236
UT code for WoS article
000683684700016
EID of the result in the Scopus database
2-s2.0-85099587968