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Numerical analysis and benchmarking of a Sommerfeld-type non-reflecting boundary condition for the wave equation in mixed form

Author
Espinoza, H.; Codina, R.; Badia, S.
Type of activity
Presentation of work at congresses
Name of edition
11th World Congress on Computational Mechanics
Date of publication
2014
Presentation's date
2014-07-21
Book of congress proceedings
11th World Congress on Computational Mechanics (WCCM XI); 5th European Conference on Computational Mechanics (ECCM V); 6th European Conference on Computational Fluid Dynamics (ECFD VI): July 20-25, 2014, Barcelona, Spain
First page
1
Last page
1
URL
http://www.wccm-eccm-ecfd2014.org/frontal/ProgSesion.asp?id=89 Open in new window
Abstract
In this paper we investigate a non-reflecting boundary condition (NRBC) of Sommerfeld type for the wave equation in mixed form in time domain. we apply the NRBC to the wave equation in mixed form in time domain for three variational forms of the equation. Special emphasis is put in the spaces where the solution belongs, in particular the regularity required on the boundary. Then stabilized finite element methods are described. Stability and convergence analysis of stabilized finite element formu...
Keywords
mixed wave equation., non-reflecting boundary condition (NRBC), stabilized finite element methods
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants