This paper describes a mesh refinement technique for boundary element method in which the number of elements, the size of elements and the element end location are determined iteratively in order to obtain a user specified accuracy. The method uses ΒΈ norm as a measure of error in the density functio
A boundary-element method with mesh refinement for a weakly singular integral equation
β Scribed by Ervin, V. J. ;Stephan, E. P.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1991
- Tongue
- English
- Weight
- 390 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0748-8025
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π SIMILAR VOLUMES
The authors present a new singular function boundary integral method for the numerical solution of problems with singularities which is based on approximation of the solution by the leading terms of the local asymptotic expansion. The essential boundary conditions are weakly enforced by means of app
Applications of the boundary integral equation method to realworld problems often require that field values should be obtained near boundary surfaces. A numerical difficulty is known to arise in this situation if one attempts to evaluate near-boundary fields via the conventional Green's formula. The
## Abstract A hypersingular boundary integral equation of the first kind on an open surface piece Ξ is solved approximately using the Galerkin method. As boundary elements on rectangles we use continuous, piecewise bilinear functions which vanish on the boundary of Ξ. We show how to compensate for