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Stability, convergence, and accuracy of stabilized finite element methods for the wave equation in mixed form

Author
Badia, S.; Codina, R.; Espinoza, H.
Type of activity
Journal article
Journal
SIAM journal on numerical analysis
Date of publication
2014
Volume
52
Number
4
First page
1729
Last page
1752
DOI
https://doi.org/10.1137/130918708 Open in new window
Project funding
Computational Methods for Fusion Technology (COMFUS)
URL
http://epubs.siam.org/doi/abs/10.1137/130918708 Open in new window
Abstract
In this paper we propose two stabilized finite element methods for different functional frameworks of the wave equation in mixed form. These stabilized finite element methods are stable for any pair of interpolation spaces of the unknowns. The variational forms corresponding to different functional settings are treated in a unified manner through the introduction of length scales related to the unknowns. Stability and convergence analysis is performed together with numerical experiments. It is s...
Keywords
APPROXIMATION, CONVECTION, FAMILY, FLOW, FORMULATION, ORTHOGONAL SUBSCALES, PROPAGATION PROBLEMS, STOKES, accuracy, convergence, orthogonal subgrid scales, stability, stabilized finite element methods, variational multiscale method, wave equation
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

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