Finite Element Analysis of Time-Dependent Semi-Infinite Wave-Guides with High-Order Boundary Treatment
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Authors
Neta, Beny
Givoli, Dan
Patlashenko, Igor
Subjects
Waves
High-order
Artificial boundary
Non-reflecting boundary condition
Finite elements
Higdon
Auxiliary variables
Newmark
High-order
Artificial boundary
Non-reflecting boundary condition
Finite elements
Higdon
Auxiliary variables
Newmark
Advisors
Date of Issue
2003-02
Date
2003-02
Publisher
Language
Abstract
A new Finite Element (FE) scheme is proposed for the solution of time-dependent semi- infinite wave-guide problems, in dispersive or non-dispersive media. The semi-infinite do- main is truncated via an artificial boundary B, and a high-order Non-Reflecting Boundary Condition (NRBC), based on the Higdon non-reflecting operators, is developed and applied on B. The new NRBC does not involve any high derivatives beyond second order, but its order of accuracy is as high as one desires. It involves some parameters which are chosen automatically as a pre-process. A C0 semi-discrete FE formulation incorporating this NRBC is constructed for the problem in the finite domain bounded by B. Augmented and split ver- sions of this FE formulation are proposed. The semi-discrete system of equations is solved by the Newmark time-integration scheme. Numerical examples concerning dispersive waves in a semi-infinite wave guide are used to demonstrate the performance of the new method.
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Preprint
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Department
Applied Mathematics
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.