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The singular dynamic method for constrained second order hyperbolic equations: Application to dynamic contact problems
- Source :
-
Journal of Computational & Applied Mathematics . Jun2010, Vol. 234 Issue 3, p906-923. 18p. - Publication Year :
- 2010
-
Abstract
- Abstract: The purpose of this paper is to present a new family of numerical methods for the approximation of second order hyperbolic partial differential equations submitted to a convex constraint on the solution. The main application is dynamic contact problems. The principle consists in the use of a singular mass matrix obtained by the mean of different discretizations of the solution and of its time derivative. We prove that the semi-discretized problem is well-posed and energy conserving. Numerical experiments show that this is a crucial property to build stable numerical schemes. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 234
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 48725435
- Full Text :
- https://doi.org/10.1016/j.cam.2010.01.058