Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations
β Scribed by L. Marin; L. Elliott; P. J. Heggs; D. B. Ingham; D. Lesnic; X. Wen
- Book ID
- 106157894
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 200 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0178-7675
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π SIMILAR VOLUMES
The parallel version of precondition techniques is developed for matrices arising from the Galerkin boundary element method for two-dimensional domains with Dirichlet boundary conditions. Results were obtained for implementations on a transputer network as well as on an nCUBE-2 parallel computer sho
Discretization of boundary integral equations leads, in general, to fully populated complex valued non-Hermitian systems of equations. In this paper we consider the e cient solution of these boundary element systems by preconditioned iterative methods of Krylov subspace type. We devise preconditione
In this paper, the iterative algorithm proposed by Kozlov et al. [Comput. Maths. Math. Phys. 31 (1991) 45] for obtaining approximate solutions to the ill-posed Cauchy problem for the Helmholtz equation is analysed. The technique is then numerically implemented using the boundary element method (BEM)