Numerical solution for exterior problems
Numerische Mathematik
Exact non-reflecting boundary conditions
Journal of Computational Physics
Computer Methods in Applied Mechanics and Engineering
Finite element approximation of time harmonic waves in periodic structures
SIAM Journal on Numerical Analysis
On nonreflecting boundary conditions
Journal of Computational Physics
Nonreflecting boundary conditions for time-dependent scattering
Journal of Computational Physics
A Finite-Element Method for Laplace- and Helmholtz-Type Boundary Value Problems with Singularities
SIAM Journal on Numerical Analysis
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Error Estimates for the Finite Element Approximation of Problems in Unbounded Domains
SIAM Journal on Numerical Analysis
Mathematics of Computation
Dirichlet-to-Neumann boundary conditions for multiple scattering problems
Journal of Computational Physics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Error estimates of the DtN finite element method for the exterior Helmholtz problem
Journal of Computational and Applied Mathematics
Computers & Mathematics with Applications
Hi-index | 7.29 |
A priori error estimates in the H^1- and L^2-norms are established for the finite element method applied to the exterior Helmholtz problem, with modified Dirichlet-to-Neumann (MDtN) boundary condition. The error estimates include the effect of truncation of the MDtN boundary condition as well as that of discretization of the finite element method. The error estimate in the L^2-norm is sharper than that obtained by the author [D. Koyama, Error estimates of the DtN finite element method for the exterior Helmholtz problem, J. Comput. Appl. Math. 200 (1) (2007) 21-31] for the truncated DtN boundary condition.