An a posteriori error estimate for a first-kind integral equation
From MaRDI portal
Publication:5691005
DOI10.1090/S0025-5718-97-00790-4zbMath0854.65102MaRDI QIDQ5691005
Publication date: 9 January 1997
Published in: Mathematics of Computation (Search for Journal in Brave)
collocation methodboundary element methodadaptive algorithma posteriori error estimatequalocation method
Numerical methods for integral equations (65R20) Error bounds for boundary value problems involving PDEs (65N15) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
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- Spline qualocation methods for boundary integral equations
- Adaptive boundary element methods for strongly elliptic integral equations
- A posteriori error estimate for the symmetric coupling of finite elements and boundary elements
- On the Asymptotic Convergence of Collocation Methods
- The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Applications
- Boundary Integral Operators on Lipschitz Domains: Elementary Results
- On the integral equation method for the plane mixed boundary value problem of the Laplacian
- The $h-p$ version of the boundary element method on polygonal domains with quasiuniform meshes
- Local residual-type error estimates for adaptive boundary element methods on closed curves
- On Adaptive Finite Element Methods for Fredholm Integral Equations of the Second Kind
- Adaptive boundary-element methods for transmission problems
- A Posteriori Error Estimates for Boundary Element Methods
- Efficiency of a posteriori BEM–error estimates for first-kind integral equations on quasi–uniform meshes
- Adaptive Boundary Element Mevthods for Some First Kind Integral Equations