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A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form

Author
Espinoza, H.; Codina, R.; Badia, S.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2014-07
Volume
276
First page
122
Last page
148
DOI
https://doi.org/10.1016/j.cma.2014.03.015 Open in new window
Project funding
Computational Methods for Fusion Technology (COMFUS)
Repository
http://hdl.handle.net/2117/23554 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0045782514001017 Open in new window
Abstract
In this paper we develop numerical approximations of the wave equation in mixed form supplemented with non-reflecting boundary conditions (NRBCs) of Sommerfeld-type on artificial boundaries for truncated domains. We consider three different variational forms for this problem, depending on the functional space for the solution, in particular, in what refers to the regularity required on artificial boundaries. Then, stabilized finite element methods that can mimic these three functional settings a...
Citation
Espinoza, H.; Codina, R.; Badia, S. A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form. "Computer methods in applied mechanics and engineering", 01 Juliol 2014, vol. 276, p. 122-148.
Keywords
ACOUSTICS, Artificial boundary condition, CONVECTION, FINITE-ELEMENT APPROXIMATION, FLOW, FORMULATION, LINEARIZED EULER EQUATIONS, NUMERICAL-SOLUTION, Non-reflecting boundary condition, ORTHOGONAL SUBSCALES, Open boundary condition, PERFECTLY MATCHED LAYER, STOKES, Stabilized finite element methods, Variational multi-scale method, Wave equation
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

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