A novel numerical method for infinite domain potential problems

DOI10.1007/s11434-010-3177-5zbMath1196.65183OpenAlexW1973529724MaRDI QIDQ708019

Zhuo-Jia Fu, Wen Chen

Publication date: 8 October 2010

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11434-010-3177-5

zbMATH Keywords

fundamental solutionsingularitypotential problemmeshlessinfinite domainsingular boundary method

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Recovery of the temperature and the heat flux by a novel meshless method from the measured noisy data, Single layer regularized meshless method for three dimensional Laplace problem, Single layer regularized meshless method for three dimensional exterior acoustic problem, Generalized method of fundamental solutions (GMFS) for boundary value problems, A fast singular boundary method for 3D Helmholtz equation, A self-regularized approach for rank-deficient systems in the BEM of 2D Laplace problems, Singular boundary method for modified Helmholtz equations, Formulation of the MFS for the two-dimensional Laplace equation with an added constant and constraint, Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method, Numerical investigation on the obliquely incident water wave passing through the submerged breakwater by singular boundary method, Investigation on near-boundary solutions by singular boundary method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An iterative boundary potential method for the infinite domain Poisson problem with interior Dirichlet boundaries
• Methods of fundamental solutions for harmonic and biharmonic boundary value problems
• The method of fundamental solutions for elliptic boundary value problems
• Numerical solution of problems on unbounded domains. A review
• Heritage and early history of the boundary element method
• Novel meshless method for solving the potential problems with arbitrary domain
• A complex variable meshless method for fracture problems
• The method of fundamental solutions and quasi-Monte-Carlo method for diffusion equations
• Optimization of perfectly matched layer for 2D Poisson's equation with antisymmetrical or symmetrical boundary conditions