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

Autor
Espinoza, H.; Codina, R.; Badia, S.
Tipus d'activitat
Article en revista
Revista
Computer methods in applied mechanics and engineering
Data de publicació
2014-07
Volum
276
Pàgina inicial
122
Pàgina final
148
DOI
https://doi.org/10.1016/j.cma.2014.03.015 Obrir en finestra nova
Projecte finançador
Computational Methods for Fusion Technology (COMFUS)
Repositori
http://hdl.handle.net/2117/23554 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0045782514001017 Obrir en finestra nova
Resum
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...
Citació
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.
Paraules clau
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
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants