Partition of unity methods for approximation of point water sources in porous media

DOI10.1016/j.amc.2015.09.048zbMath1410.76170OpenAlexW2202115968MaRDI QIDQ668434

Pavel Exner, Jan Březina

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.09.048

zbMATH Keywords

groundwater flowsingular solutionextended finite element methodadaptive integration

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (1)

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

Uses Software

• deal.ii
• UNCMND
• pchip

Cites Work

• Stable generalized finite element method (SGFEM)
• A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
• An extended finite element method model for carbon sequestration
• The extended/generalized finite element method: An overview of the method and its applications
• deal.II—A general-purpose object-oriented finite element library
• A corrected XFEM approximation without problems in blending elements
• Fast integration and weight function blending in the extended finite element method
• Evaluation of the condition number in linear systems arising in finite element approximations
• Unnamed Item
• Unnamed Item

This page was built for publication: Partition of unity methods for approximation of point water sources in porous media