Application of backward differentiation methods to the finite element solution of time-dependent problems
β Scribed by Zahari Zlatev; Per Grove Thomsen
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 585 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0029-5981
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β¦ Synopsis
The application of finite element methods to parabolic partial differential equations leads to large linear systems of first-order ordinary differential equations. Very often these systems are stiff and difficulties arise in their numerical solution. We attempt to analyse the problem of how to select numerical methods for the solution of such linear systems.
π SIMILAR VOLUMES
A finite element scheme is devised for the solution of nonlinear time-dependent exterior wave problems. The two-dimensional nonlinear scalar (Klein-Gordon) wave equation is taken as a model to illustrate the method. The governing equation is first discretized in time, leading to a time-stepping sche
Two extended numerical di!erentiation methods based on Green's second identity are presented. These may be used for postprocessing approximate solutions in general material distributions, including inhomogeneous and discontinuous material characteristics. The "rst method uses a general formulation w