Symmetric linear multistep methods for second-order differential equations with periodic solutions
Applied Numerical Mathematics
Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation
Mathematics of Computation
Exact non-reflecting boundary conditions
Journal of Computational Physics
Radiation boundary conditions for elastic wave propagation
SIAM Journal on Numerical Analysis
Non-reflecting boundary conditions
Journal of Computational Physics
A spatially exact non-reflecting boundary condition for time dependent problems
Computer Methods in Applied Mechanics and Engineering
Radiation boundary conditions for dispersive waves
SIAM Journal on Numerical Analysis
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
Nonreflecting boundary conditions based on Kirchhoff-type formulae
Journal of Computational Physics
Exact nonreflecting boundary conditions for the time dependent wave equation
SIAM Journal on Applied Mathematics
Artificial boundary conditions for the numerical solution of external viscous flow problems
SIAM Journal on Numerical Analysis
Nonreflecting boundary conditions for time-dependent scattering
Journal of Computational Physics
A formulation of asymptotic and exact boundary conditions using local operators
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Numerical solution of problems on unbounded domains. a review
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Absorbing PML boundary layers for wave-like equations
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
The Perfectly Matched Layer in Curvilinear Coordinates
SIAM Journal on Scientific Computing
Exact nonreflecting boundary condition for elastic waves
SIAM Journal on Applied Mathematics
Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation
SIAM Journal on Numerical Analysis
An integral evolution formula for the wave equation
Journal of Computational Physics
High-order nonreflecting boundary conditions without high-order derivatives
Journal of Computational Physics
High-order nonreflecting boundary conditions for the dispersive shallow water equations
Journal of Computational and Applied Mathematics - Special issue: Selected papers from the conference on computational and mathematical methods for science and engineering (CMMSE-2002) Alicante University, Spain, 20-25 september 2002
A sequence of absorbing boundary conditions for Maxwell's equations
Journal of Computational Physics
Journal of Computational Physics
Perfectly matched layers for Maxwell's equations in second order formulation
Journal of Computational Physics
Journal of Computational Physics
Open boundaries for the nonlinear Schrödinger equation
Journal of Computational Physics
High-order local absorbing conditions for the wave equation: Extensions and improvements
Journal of Computational Physics
A stratified dispersive wave model withhigh-order nonreflecting boundary conditions
Computers & Mathematics with Applications
High-order Absorbing Boundary Conditions for anisotropic and convective wave equations
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational and Applied Mathematics
Local nonreflecting boundary condition for time-dependent multiple scattering
Journal of Computational Physics
On the stability of the high-order Higdon Absorbing Boundary Conditions
Applied Numerical Mathematics
Finite element analysis for reactive and dissipative rectangular muffler
GAVTASC'11 Proceedings of the 11th WSEAS international conference on Signal processing, computational geometry and artificial vision, and Proceedings of the 11th WSEAS international conference on Systems theory and scientific computation
Application of H-W boundary condition in dam-reservoir interaction problem
Finite Elements in Analysis and Design
Applied Numerical Mathematics
Accurate absorbing boundary conditions for anisotropic elastic media. Part 1: Elliptic anisotropy
Journal of Computational Physics
Journal of Computational Physics
A high-order based boundary condition for dynamic analysis of infinite reservoirs
Computers and Structures
Hi-index | 31.50 |
A new non-reflecting boundary scheme is proposed for time-dependent wave problems in unbounded domains. The linear time-dependent wave equation, with or without a dispersive term, is considered in a semi-infinite wave guide. The infinite domain is truncated via an artificial boundary B, and a high-order non-reflecting boundary condition (NRBC) is imposed on B. Then the problem is solved numerically in the finite domain bounded by B. The new boundary scheme is based on a reformulation of the sequence of NRBCs proposed by Higdon. In contrast to the original formulation of the Higdon conditions, the scheme constructed here does not involve any high derivatives beyond second order. This is made possible by introducing special auxiliary variables on B. As a result, the new NRBCs can easily be used up to any desired order. They can be incorporated in a finite element or a finite difference scheme; in the present paper the latter is used. The parameters appearing in the NRBC are chosen automatically via a special procedure. Numerical examples concerning a semi-infinite wave guide are used to demonstrate the performance of the new method.