Stability, convergence, and accuracy of stabilized finite element methods for the wave equation in mixed form (Q2927830)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Stability, convergence, and accuracy of stabilized finite element methods for the wave equation in mixed form |
scientific article; zbMATH DE number 6365778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability, convergence, and accuracy of stabilized finite element methods for the wave equation in mixed form |
scientific article; zbMATH DE number 6365778 |
Statements
4 November 2014
0 references
wave equation
0 references
finite element methods
0 references
variational multiscale method
0 references
convergence
0 references
stability
0 references
numerical experiment
0 references
0.9087844
0 references
0.9013832
0 references
0.90074563
0 references
0.90023005
0 references
0.89883137
0 references
0.89628655
0 references
0.8956711
0 references
Stability, convergence, and accuracy of stabilized finite element methods for the wave equation in mixed form (English)
0 references
The authors propose two stabilized finite element methods for the wave equation in mixed form. \textit{R. Codina} [Comput. Methods Appl. Mech. Eng. 197, No. 13--16, 1305--1322 (2008; Zbl 1162.65388)] had approximated the mixed wave equation using the orthogonal subscale stabilization (OSS) method. In this paper the authors extend the OSS method and consider also the algebraic subgrid scale (ASGS) method. Stability for OSS and ASGS methods applied to the wave equation in mixed form is proved. Theoretical convergence rates for OSS and ASGS methods are found. Numerical experiments are also given.
0 references
