Numerical solution of problems on unbounded domains. a review

Nonreflecting boundary condition for the wave equation

Journal of Computational and Applied Mathematics

Computation of Nonlinear Backscattering Using a High-Order Numerical Method

Journal of Scientific Computing

Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics

Journal of Scientific Computing

A vortex particle method for two-dimensional compressible flow

Journal of Computational Physics

Analysis of extrapolation boundary conditions for the linearized Euler equations

Applied Numerical Mathematics

Transparent boundary conditions for the shallow water equations with a mixed finite element formulation

Applied Numerical Mathematics

Asymmetric perfectly matched layer for the absorption of waves

Journal of Computational Physics

Accurate numerical methods for micromagnetics simulations with general geometries

Journal of Computational Physics

High-order non-reflecting boundary scheme for time-dependent waves

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

Numerical boundary conditions for sound scattering simulation

Journal of Computational Physics

Exact boundary condition for time-dependent wave equation based on boundary integral

Journal of Computational Physics

Construction of local boundary conditions for an eigenvalue problem using micro-local analysis: application to optical waveguide problems

Journal of Computational Physics

Exact non-reflecting boundary conditions on general domains

Journal of Computational Physics

Artificial boundary conditions for the numerical simulation of unsteady acoustic waves

Journal of Computational Physics

Local absorbing boundaries of elliptical shape for scalar wave propagation in a half-plane

Finite Elements in Analysis and Design

On the application of lacunae-based methods to Maxwell's equations

Journal of Computational Physics

Dirichlet-to-Neumann boundary condition for time-dependent dispersive waves in three-dimensional guides

Journal of Computational Physics

Quadratic optimization in the problems of active control of sound

Applied Numerical Mathematics

Improved boundary conditions for the direct numerical simulation of turbulent subsonic flows. I. Inviscid flows

Journal of Computational Physics

Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions

Journal of Computational Physics

The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions

Journal of Computational Physics

Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain

Journal of Computational and Applied Mathematics

Optimal grid-based methods for thin film micromagnetics simulations

Journal of Computational Physics

The stability and convergence of an explicit difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions

Journal of Computational Physics

High order finite difference methods for wave propagation in discontinuous media

Journal of Computational Physics

A high order finite element discretization with local absorbing boundary conditions of the linear Schrödinger equation

Journal of Computational Physics

Nonreflecting boundary condition for time-dependent multiple scattering

Journal of Computational Physics

On the Hedstrom nonreflecting boundary condition for C2 solutions

Journal of Computational and Applied Mathematics

δ-mapping algorithm coupled with WENO reconstruction for nonlinear elasticity in heterogeneous media

Applied Numerical Mathematics

Analytical and numerical investigation of the performance of the BGT2 condition for low-frequency acoustic scattering problems

Journal of Computational and Applied Mathematics

High-order numerical solution of the nonlinear Helmholtz equation with axial symmetry

Journal of Computational and Applied Mathematics

Adaptive absorbing boundary conditions for Schrödinger-type equations: Application to nonlinear and multi-dimensional problems

Journal of Computational Physics

High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension

Journal of Computational Physics

A perfectly matched layer approach to the nonlinear Schrödinger wave equations

Journal of Computational Physics

Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data

Applied Numerical Mathematics

Exact artificial boundary conditions for problems with periodic structures

Journal of Computational Physics

Lacunae based stabilization of PMLs

Journal of Computational Physics

Compensated optimal grids for elliptic boundary-value problems

Journal of Computational Physics

Stable and accurate wave-propagation in discontinuous media

Journal of Computational Physics

Robin-type wall functions and their numerical implementation

Applied Numerical Mathematics

A high-order numerical method for the nonlinear Helmholtz equation in multidimensional layered media

Journal of Computational Physics

On the outflow conditions for spectral solution of the viscous blunt-body problem

Journal of Computational Physics

A performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scattering

Advances in Engineering Software

Long-Time Performance of Unsplit PMLs with Explicit Second Order Schemes

Journal of Scientific Computing

Quadratic optimization in the problems of active control of sound

Applied Numerical Mathematics

Stable Boundary Treatment for the Wave Equation on Second-Order Form

Journal of Scientific Computing

New absorbing layers conditions for short water waves

Journal of Computational Physics

A stratified dispersive wave model withhigh-order nonreflecting boundary conditions

Computers & Mathematics with Applications

Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain

Journal of Computational and Applied Mathematics

Transparent boundary conditions for wave propagation on unbounded domains

ICCS'03 Proceedings of the 2003 international conference on Computational science: PartIII

High-order one-way model nesting in dispersive non-uniform media

Journal of Computational and Applied Mathematics

Coupling of Dirichlet-to-Neumann boundary condition and finite difference methods in curvilinear coordinates for multiple scattering

Journal of Computational Physics

A local high-order doubly asymptotic open boundary for diffusion in a semi-infinite layer

Journal of Computational Physics

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

A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates

Journal of Scientific Computing

Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings

Journal of Computational Physics

Local nonreflecting boundary condition for time-dependent multiple scattering

Journal of Computational Physics

Time-domain analysis of gravity dam-reservoir interaction using high-order doubly asymptotic open boundary

Computers and Structures

On the stability of the high-order Higdon Absorbing Boundary Conditions

Applied Numerical Mathematics

Improvements on open and traction boundary conditions for Navier-Stokes time-splitting methods

Journal of Computational Physics

A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell's equations

Journal of Computational Physics

Numerical solution of the heat equation in unbounded domains using quasi-uniform grids

LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing

Accurate absorbing boundary conditions for anisotropic elastic media. Part 1: Elliptic anisotropy

Journal of Computational Physics

Discrete Calderon's projections on parallelepipeds and their application to computing exterior magnetic fields for FRC plasmas

Journal of Computational Physics

The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain

Journal of Computational Physics

3DFLUX: A high-order fully three-dimensional flux integral solver for the scalar transport equation

Journal of Computational Physics

The Double Absorbing Boundary method

Journal of Computational Physics

A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains

Journal of Computational Physics

An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach

Journal of Computational Physics