High-accuracy quadrature methods for solving boundary integral equations of steady-state anisotropic heat conduction problems with Dirichlet conditions
DOI10.1080/00207160.2013.828050zbMath1304.65257OpenAlexW2019708506MaRDI QIDQ2921915
Publication date: 14 October 2014
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2013.828050
stabilityboundary integral equationcondition numbersingularitymechanical quadrature methodssteady-state anisotropic heat conduction
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) Numerical computation of matrix norms, conditioning, scaling (65F35) Boundary element methods for boundary value problems involving PDEs (65N38)
Cites Work
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- Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods
- Advanced quadrature methods and splitting extrapolation algorithms for first kind boundary integral equations of Laplace's equation with discontinuity solutions
- The delta-trigonometric method using the single-layer potential representation
- Regular operator approximation theory
- Quadrature methods for periodic singular and weakly singular Fredholm integral equations
- The modified quadrature method for logarithmic-kernel integral equations on closed curves
- A general exact transformation of body-force volume integral in BEM for 2D anisotropic elasticity
- The use of fundamental Green's functions for the solution of problems of heat conduction in anisotropic media
- Extrapolation Algorithms for Solving Mixed Boundary Integral Equations of the Helmholtz Equation by Mechanical Quadrature Methods
- An augmented galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems
- The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
- Singularity subtraction in the numerical solution of integral equations
- Quadrature methods for logarithmic-kernel integral equations on closed curves
- Extension of a class of periodizing variable transformations for numerical Integration
- Collectively compact sets of linear operators
- A comparison of boundary element method formulations for steady state anisotropic heat conduction problems
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