Splitting extrapolation algorithms for solving the boundary integral equations of anisotropic Darcy's equation on polygons by mechanical quadrature methods
DOI10.1007/s11075-012-9563-0zbMath1259.65184OpenAlexW1979177991MaRDI QIDQ1938078
Jin Huang, Xin Luo, Chuan-Long Wang
Publication date: 1 February 2013
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-012-9563-0
algorithmstabilityconvergencenumerical examplesboundary integral equationsanisotropica posteriori estimateDarcy's equationsplitting extrapolation algorithmmechanical quadrature methods
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
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- Advanced quadrature methods and splitting extrapolation algorithms for first kind boundary integral equations of Laplace's equation with discontinuity solutions
- An algorithm using the finite volume element method and its splitting extrapolation
- Mechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcs
- On a residual local projection method for the Darcy equation
- A splitting extrapolation for solving nonlinear elliptic equations with \(d\)-quadratic finite elements
- Boundary integral solutions of coupled Stokes and Darcy flows
- Stokes-Darcy boundary integral solutions using preconditioners
- Quadrature methods for periodic singular and weakly singular Fredholm integral equations
- The modified quadrature method for logarithmic-kernel integral equations on closed curves
- Multi-parameter extrapolation methods for boundary integral equations
- Boundary element analysis and design in seepage problems using dual integral formulation
- An optimal order collocation method for first kind boundary integral equations on polygons
- Null space algorithm and spanning trees in solving Darcy's equation
- On integral equations of the first kind with logarithmic kernels
- A 3-D indirect boundary element method for bounded creeping flow of drops
- Extrapolation Algorithms for Solving Mixed Boundary Integral Equations of the Helmholtz Equation by Mechanical Quadrature Methods
- A Finite Element Splitting Extrapolation for Second Order Hyperbolic Equations
- The Numerical Solution of First-Kind Logarithmic-Kernel Integral Equations on Smooth Open Arcs
- Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and d-quadratic isoparametric finite elements
- The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
- On the Convergence of Collocation Methods for Symm's Integral Equation on Open Curves
- Quadrature methods for logarithmic-kernel integral equations on closed curves
- The Collocation Method for First-Kind Boundary Integral Equations on Polygonal Regions
- The Numerical Solution of Integral Equations of the Second Kind
- The Splitting Extrapolation Method
- Galerkin's method for boundary integral equations on polygonal domains
- A comparison of boundary element method formulations for steady state anisotropic heat conduction problems