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A high order finite element discretization with local absorbing boundary conditions of the linear Schrodinger equation
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DOI：10.1016/j.jcp.2006.05.022.png)
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Abstract
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The goal of this paper is to obtain a high order full discretization of the initial value problem for the linear Schrodinger equation in a finite computational domain. For this we use a high order finite element discretization in space together with an adaptive implementation of local absorbing boundary conditions specifically obtained for linear finite elements, and a high order symplectic time integrator. The numerical results show that it is possible to obtain simultaneously a very good absorption at the boundary and a very small error in the interior of the computational domain. (c) 2006 Elsevier Inc. All rights reserved.
Keywords:
linear Schrodinger equation
finite element
local absorbing boundary conditions
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