Accurate integration of singular kernels in boundary integral formulations for Helmholtz equation
โ Scribed by P. S. Ramesh; M. H. Lean
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 649 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
Strongly singular integrals which are unbounded in the sense of Lebesgue appear naturally in boundary integral equations. Extending the analytic continuation method we derive finite part values for a class of singular integrals which arise frequently in practice. In connection with boundary integral
A new spectral Galerkin formulation is presented for the solution of boundary integral equations. The formulation is carried out with an exact singularity subtraction procedure based on analytical integrations, which provides a fast and precise way to evaluate the coefficient matrices. The new Galer
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
The paper attempts to improve the efficiency of a general method developed previously for computing nearly singular kernel integrals. Three new formulations are presented by following an approach similar to that used in the previous method. Their numerical efficiency is compared with the previous me