Mechanical quadrature method and splitting extrapolation algorithm for the boundary integral equation of the axisymmetric anisotropic Darcy's equation

DOI10.1080/00207160.2015.1095888zbMath1457.65234OpenAlexW2281050312MaRDI QIDQ5737856

Hu Li, Jin Huang

Publication date: 30 May 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1095888

zbMATH Keywords

axisymmetrica posteriori estimatemechanical quadrature methodDarcy's equationsplitting extrapolation algorithm

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Boundary element methods applied to problems in fluid mechanics (76M15) Parallel numerical computation (65Y05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

On the numerical solutions of two-dimensional scattering problems for an open arc ⋮ Numerical algorithm with high accuracy for the modified Helmholtz equation with Robin boundary value problem

Cites Work

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• On integral equations of the first kind with logarithmic kernels
• Splitting extrapolation algorithms for solving the boundary integral equations of anisotropic Darcy's equation on polygons by mechanical quadrature methods
• A Symmetric Nodal Conservative Finite Element Method for the Darcy Equation
• A numerical study of primal mixed finite element approximations of Darcy equations
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
• Superconvergent Approximations to the Solution of a Boundary Integral Equation on Polygonal Domains

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