Radiation boundary conditions for elastic wave propagation
SIAM Journal on Numerical Analysis
Non-reflecting boundary conditions
Journal of Computational Physics
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
Exact nonreflecting boundary conditions for the time dependent wave equation
SIAM Journal on Applied Mathematics
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
Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators
SIAM Journal on Scientific Computing
On Optimal Finite-Difference Approximation of PML
SIAM Journal on Numerical Analysis
High-order non-reflecting boundary scheme for time-dependent waves
Journal of Computational Physics
Stability of perfectly matched layers, group velocities and anisotropic waves
Journal of Computational Physics
High-Order Radiation Boundary Conditions for the Convective Wave Equation in Exterior Domains
SIAM Journal on Scientific Computing
Time-harmonic acoustic propagation in the presence of a shear flow
Journal of Computational and Applied Mathematics
High-order local absorbing conditions for the wave equation: Extensions and improvements
Journal of Computational Physics
Radiation boundary conditions for time-dependent waves based on complete plane wave expansions
Journal of Computational and Applied Mathematics
Absorbing boundary conditions for scalar waves in anisotropic media. Part 2: Time-dependent modeling
Journal of Computational Physics
Absorbing boundary conditions for scalar waves in anisotropic media. Part 1: Time harmonic modeling
Journal of Computational Physics
On the stability of the high-order Higdon Absorbing Boundary Conditions
Applied Numerical Mathematics
Journal of Computational Physics
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
The Double Absorbing Boundary method
Journal of Computational Physics
Hi-index | 31.48 |
High-order Absorbing Boundary Conditions (ABCs), applied on a rectangular artificial computational boundary that truncates an unbounded domain, are constructed for a general two-dimensional linear scalar time-dependent wave equation which represents acoustic wave propagation in anisotropic and subsonically convective media. They are extensions of the construction of Hagstrom, Givoli and Warburton for the isotropic stationary case. These ABCs are local, and involve only low-order derivatives owing to the use of auxiliary variables on the artificial boundary. The accuracy and well-posedness of these ABCs is analyzed. Special attention is given to the issue of mismatch between the directions of phase and group velocities, which is a potential source of concern. Numerical examples for the anisotropic case are presented, using a finite element scheme.