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Computation of the exact discrete transparent boundary condition for 1D linear equations

Abstract

In this work, we are interested in the construction of the exact transparent boundary conditions for a semi-discretized and fully discretized 1D linear PDE. The proposed method is quite general and is based on the computation of a family of canonical functions. Several examples and numerical results to illustrate the method are presented.
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Dates and versions

hal-02995046 , version 1 (08-11-2020)

Identifiers

  • HAL Id : hal-02995046 , version 1

Cite

Sonia Fliss, Sébastien Imperiale, Antoine Tonnoir. Computation of the exact discrete transparent boundary condition for 1D linear equations. 2020. ⟨hal-02995046⟩
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