There are two cases of the exterior problems of the Helmholtz equation. If lambda greater than or equal to 0 the bilinear form is coercive, and if lambda < 0 it is the scattering problem. We give a new approach of the infinite element method, which enables us to solve these exterior problems as well as corner problems. A numerical example of the scattering problem is given.Mathematics, AppliedMathematicsSCI(E)EI中国科学引文数据库(CSCD)3ARTICLE6657-6721
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AbstractThis paper presents a new numerical method for the solution of exterior Helmholtz scattering...
In this paper we use an enriched approximation space for the efficient and accurate solution of the ...
The exterior Helmholtz problem can be efficiently solved by reformulating the differential equation ...
This work is devoted to a study and summary of different Infinite Element (IE) formulations for Helm...
In this dissertation two methods for improving the conditioning of infinite element stiffness matric...
This work is devoted to a convergence study of infinite element (IE) discretizations for the Helmhol...
This work is devoted to a convergence and performance study of finite-infinite element discretizatio...
The theory for coupling of mapped wave infinite elements and special wave finite elements for the so...
International audienceThis work is devoted to a study of a conjugated infinite element method for He...
We study the asymptotic behavior of the two dimensional Helmholtz scattering problem with high wave ...
AbstractIn this paper a method is given for constructing the solution to the exterior Dirichlet prob...
In this paper elementary boundary integral equations for the Helmholtz equation in the exterior doma...
We prove that the standard second-kind integral equation formulation of the exterior Dirichlet probl...
Consider the scattering from a sound soft obstacle (or crack) which can be modelled by the exterior ...
This paper introduces a class of approximate transparent boundary conditions for the solution of Hel...
AbstractThis paper presents a new numerical method for the solution of exterior Helmholtz scattering...
In this paper we use an enriched approximation space for the efficient and accurate solution of the ...
The exterior Helmholtz problem can be efficiently solved by reformulating the differential equation ...