𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Diagonal Forms of Translation Operators for the Helmholtz Equation in Three Dimensions

✍ Scribed by V. Rokhlin

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
708 KB
Volume
1
Category
Article
ISSN
1063-5203

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Sparse Diagonal Forms for Translation Op
Sparse Diagonal Forms for Translation Operators for the Helmholtz Equation in Two Dimensions
✍ V. Rokhlin πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 373 KB

In the design of fast multipole methods (FMM) for the numerical solution of scattering problems, a crucial step is the diagonalization of translation operators for the Helmholtz equation. These operators have analytically simple, physically transparent, and numerically stable diagonal forms. It has

Dispersion and pollution of the FEM solu
Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions
✍ Arnaud Deraemaeker; Ivo BabuΕ‘ka; Philippe Bouillard πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 305 KB πŸ‘ 2 views

For high wave numbers, the Helmholtz equation su!ers the so-called &pollution e!ect'. This e!ect is directly related to the dispersion. A method to measure the dispersion on any numerical method related to the classical Galerkin FEM is presented. This method does not require to compute the numerical

Global solvability for the Kirchhoff equ
Global solvability for the Kirchhoff equations in exterior domains of dimension larger than three
✍ Taeko Yamazaki πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 200 KB

## Abstract We consider the unique global solvability of initial (boundary) value problem for the Kirchhoff equations in exterior domains or in the whole Euclidean space for dimension larger than three. The following sufficient condition is known: initial data is sufficiently small in some weighted