A discrete collocation method for boundary integral equations
DOI10.1216/jiea/1181075870zbMath0840.65114OpenAlexW2030795945MaRDI QIDQ1904067
Publication date: 7 July 1996
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/jiea/1181075870
cubaturecollocation methodsuperconvergenceboundary integral equationsspline collocationadaptive refinementdouble layer potential equationnearly singular kernels
Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Cites Work
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- Constructive methods for the practical treatment of integral equations. Proceedings of the Conference at the Mathematisches Forschungsinstitut Oberwolfach, June 24-30, 1984
- On numerical cubatures of singular surface integrals in boundary element methods
- Piecewise polynomial collocation for integral equations with a smooth kernel on surfaces in three dimensions
- On quadrature methods for the double layer potential equation over the boundary of a polyhedron
- The numerical solution of singular integral equations of potential theory
- An Analysis of Quadrature Errors in Second-Kind Boundary Integral Methods
- Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
- Numerical Quadratures for Layer Potentials over Curved Domains in $\mathbb{R}^3 $
- An Error Functional Expansion for N-Dimensional Quadrature with an Integrand Function Singular at a Point
- Piecewise Polynomial Collocation for Boundary Integral Equations
- Nyström’s Method and Iterative Solvers for the Solution of the Double-Layer Potential Equation over Polyhedral Boundaries
- Two-Dimensional Quadrature for Functions with a Point Singularity on a Triangular Region
- Linear integral equations
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