All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

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

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • 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

  • 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