Solution of potential problems using combinations of the regular and derivative boundary integral equations

DOI10.1016/0307-904X(90)90186-9zbMath0714.65086OpenAlexW2081845062MaRDI QIDQ751209

Thomas J. Rudolphi, Marc S. Ingber

Publication date: 1990

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(90)90186-9

zbMATH Keywords

Fredholm integral equationsnumerical examplesboundary integral equationDirichlet boundary conditionsNeumann boundary conditionspotential problemshybrid methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Integral equations with kernels of Cauchy type (45E05)

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An iterative and multigrid solution of boundary integral equations ⋮ The final stage of the collapse of a cavitation bubble near a rigid wall ⋮ On the nonspherical collapse and rebound of a cavitation bubble ⋮ Boundary element procedure for computation of internal directional derivatives in homogeneous Laplace's problems solved by the finite element method ⋮ Direct second kind boundary integral formulation for Stokes flow problems

Cites Work

• The use of simple solutions in the regularization of hypersingular boundary integral equations
• The convergence of spline collocation for strongly elliptic equations on curves
• The evaluation of the normal derivative along the boundary in the direct boundary element method
• A Galerkin collocation method for some integral equations of the first kind
• Making the boundary element method less sensitive to changes or errors in the input data
• On the condition number of the influence matrix belonging to some first kind integral equations with logarithmic kernel
• Grid optimization for the boundary element method
• Product Integration-Collocation Methods for Noncompact Integral Operator Equations
• The numerical solution of Stokes flow in a domain with re-entrant boundaries by the boundary element method
• On the Convergence of Collocation Methods for Symm's Integral Equation on Open Curves
• Scattering From Three-Dimensional Planar Cracks by the Boundary Integral Equation Method
• Boundary integral solutions of three dimensional acoustic radiation problems
• Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
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