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Extended finite element method in mixed-hybrid model of singular groundwater flow

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  • Březina, Jan
  • Exner, Pavel

Abstract

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.

Suggested Citation

  • Březina, Jan & Exner, Pavel, 2021. "Extended finite element method in mixed-hybrid model of singular groundwater flow," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 189(C), pages 207-236.
    • Handle: RePEc:eee:matcom:v:189:y:2021:i:c:p:207-236
    DOI: 10.1016/j.matcom.2020.12.018
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    References listed on IDEAS

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    1. Exner, Pavel & Březina, Jan, 2016. "Partition of unity methods for approximation of point water sources in porous media," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 21-32.
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    Cited by:

    1. Cao-Rial, M.T. & Moreno, C. & Quintela, P., 2024. "Mathematical perspective on XFEM implementation for models involving contribution on interfaces," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 266-291.

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