Dirichlet-to-Neumann and Neumann-to-Dirichlet methods for bound states of the Helmholtz equation

Details Dirichlet-to-Neumann and Neumann-to-Dirichlet methods for bound states of the Helmholtz equation Dirichlet-to-Neumann and Neumann-to-Dirichlet methods for bound states of the Helmholtz equation

2011-02-25

arxiv.org/abs/1102.5259v1

Physics

Mathematical Physics

15 pages, 3 figures, 2 tables

Scientific paper

Two methods for computing bound states of the Helmholtz equation in a finite domain are presented. The methods are formulated in terms of the Dirichlet-to-Neumann (DtN) and Neumann-to-Dirichlet (NtD) surface integral operators. They are adapted from the DtN and NtD methods for bound states of the Schrodinger equation in R^3. A variational principle that enables the usage of the operators is constructed. The variational principle allows the use of discontinuous (in values or derivatives) trial functions. A numerical example presenting the usefulness of the DtN and NtD methods is given.

Affiliated with

Also associated with

No associations

Rating

Dirichlet-to-Neumann and Neumann-to-Dirichlet methods for bound states of the Helmholtz equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dirichlet-to-Neumann and Neumann-to-Dirichlet methods for bound states of the Helmholtz equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dirichlet-to-Neumann and Neumann-to-Dirichlet methods for bound states of the Helmholtz equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-710131