On Optimization of Direct Methods of Solving Weakly Singular Integral Equations
β Scribed by Sergei V. Pereverzev; Sergei G. Solodky
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 339 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0885-064X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
This paper presents a general direct integral formulation for potential flows. The singularities of Green's functions are desingularized theoretically, using a subtracting and adding back technique, so that Gaussian quadrature or any other numerical integration methods can be applied directly to eva
## Abstract Accurate numerical evaluation of integrals arising in the boundary element method is fundamental to achieving useful results via this solution technique. In this paper, a number of techniques are considered to evaluate the weakly singular integrals which arise in the solution of Laplace
## Abstract Necessary and sufficient conditions for the stability of certain collocation methods applied to Cauchy singular integral equations on an interval are presented for weighted **L**__'__ norms. Moreover, the behavior of the approximation numbers, in particular their soβcalled __k__ βsplitt