𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Equation-based interpolation and incremental unknowns for solving the three-dimensional Helmholtz equation

✍ Scribed by Poullet, Pascal; Boag, Amir

Book ID
122095333
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
367 KB
Volume
232
Category
Article
ISSN
0096-3003

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Incremental unknowns preconditioning for
Incremental unknowns preconditioning for solving the Helmholtz equation
✍ Pascal Poullet; Amir Boag πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 219 KB

## Abstract An efficient preconditioner is developed for solving the Helmholtz problem in both high and low frequency (wavenumber) regimes. The preconditioner is based on hierarchical unknowns on nested grids, known as incremental unknowns (IU). The motivation for the IU preconditioner is provided

One- and two-dimensional lattice sums fo
One- and two-dimensional lattice sums for the three-dimensional Helmholtz equation
✍ C.M. Linton; I. Thompson πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 365 KB

The accurate and efficient computation of lattice sums for the three-dimensional Helmholtz equation is considered for the cases where the underlying lattice is one-or twodimensional. We demonstrate, using careful numerical computations, that the reduction method, in which the sums for a two-dimensio