We construct global artificial boundary conditions (ABCs) for the numerical sim-ulation of wave processes on unbounded domains using a special nondeteriorating algorithm that has been developed previously for the long-term computation of wave-radiation solutions. The ABCs are obtained directly for the discrete formulation of the problem; in so doing, neither a rational approximation of “nonreflecting kernels” nor discretization of the continuous boundary conditions is required. The extent of temporal nonlocality of the new ABCs appears fixed and limited; in addition, the ABCs can handle artificial boundaries of irregular shape on regular grids with no fitting/adaptation needed and no accuracy loss induced. The nondeteriorating al-gorithm, w...
In this paper, we introduce artificial boundary conditions for the linearized Green-Naghdi system of...
We consider the solution of scattering problems for the wave equation using approximate boundary con...
This paper introduces an effective way to equip the standard finite element method (FEM) for the sol...
Abstract. Artificial boundary conditions (ABCs) are constructed for the computation of unsteady acou...
The simulation of wave phenomena in unbounded domains generally requires an artificial boundary to t...
Abstract: We propose artificial boundary conditions for the wave equation considered outsi...
A central characteristic feature of an important class of hyperbolic PDEs in odd-dimension spaces is...
AbstractTo solve the time-dependent wave equation in an infinite two (three) dimensional domain a ci...
this paper, we couple fast nonreflecting boundary conditions, developed in [3] for spherical and cyl...
Problems of linear time-dependent dispersive waves in an unbounded domain are considered. The infini...
Abstract: A spectral approach of generating low-reflecting boundary conditions for the wav...
We introduce a general class of second-order boundary value problems unifying application areas such...
International audienceWe are interested in the numerical simulation of wave propagation in media whi...
A new specialized method to simulate the radiation condition of unbounded domains is developed. This...
The numerical solution of the time dependent wave equation in an unbounded domain generally leads to...
In this paper, we introduce artificial boundary conditions for the linearized Green-Naghdi system of...
We consider the solution of scattering problems for the wave equation using approximate boundary con...
This paper introduces an effective way to equip the standard finite element method (FEM) for the sol...
Abstract. Artificial boundary conditions (ABCs) are constructed for the computation of unsteady acou...
The simulation of wave phenomena in unbounded domains generally requires an artificial boundary to t...
Abstract: We propose artificial boundary conditions for the wave equation considered outsi...
A central characteristic feature of an important class of hyperbolic PDEs in odd-dimension spaces is...
AbstractTo solve the time-dependent wave equation in an infinite two (three) dimensional domain a ci...
this paper, we couple fast nonreflecting boundary conditions, developed in [3] for spherical and cyl...
Problems of linear time-dependent dispersive waves in an unbounded domain are considered. The infini...
Abstract: A spectral approach of generating low-reflecting boundary conditions for the wav...
We introduce a general class of second-order boundary value problems unifying application areas such...
International audienceWe are interested in the numerical simulation of wave propagation in media whi...
A new specialized method to simulate the radiation condition of unbounded domains is developed. This...
The numerical solution of the time dependent wave equation in an unbounded domain generally leads to...
In this paper, we introduce artificial boundary conditions for the linearized Green-Naghdi system of...
We consider the solution of scattering problems for the wave equation using approximate boundary con...
This paper introduces an effective way to equip the standard finite element method (FEM) for the sol...