𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Numerical performance of a parallel solution method for a heterogeneous 2D Helmholtz equation

✍ Scribed by A. V. Kononov; C. D. Riyanti; S. W. de Leeuw; C. W. Oosterlee; C. Vuik

Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
563 KB
Volume
11
Category
Article
ISSN
1432-9360

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A Spectral Boundary Integral Equation Me
A Spectral Boundary Integral Equation Method for the 2D Helmholtz Equation
✍ Fang Q. Hu πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 331 KB

In this paper, we present a new numerical formulation of solving the boundary integral equations reformulated from the Helmholtz equation. The boundaries of the problems are assumed to be smooth closed contours. The solution on the boundary is treated as a periodic function, which is in turn approxi

A fast numerical method for a natural bo
A fast numerical method for a natural boundary integral equation for the Helmholtz equation
✍ Song-Hua Li; Ming-Bao Sun πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 630 KB

A Neumann boundary value problem of the Helmholtz equation in the exterior circular domain is reduced into an equivalent natural boundary integral equation. Using our trigonometric wavelets and the Galerkin method, the obtained stiffness matrix is symmetrical and circulant, which lead us to a fast n

Numerical Solution of the Helmholtz Equa
Numerical Solution of the Helmholtz Equation in 2D and 3D Using a High-Order NystrΓΆm Discretization
✍ Lawrence F. Canino; John J. Ottusch; Mark A. Stalzer; John L. Visher; Stephen M. πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 383 KB

We show how to solve time-harmonic scattering problems by means of a highorder NystrΓΆm discretization of the boundary integral equations of wave scattering in 2D and 3D. The novel aspect of our new method is its use of local corrections to the discretized kernel in the vicinity of the kernel singula