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Time finite element methods for initial value problems

✍ Scribed by Pinhas Z. Bar-Yoseph

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
111 KB
Volume
33
Category
Article
ISSN
0168-9274

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✦ Synopsis

This paper deals with the formulation, implementation, and application of potentially powerful temporal finite element approximations for solving initial value problems. Weighted residual methods using continuous and discontinuous approximations are developed and their characteristics in terms of accuracy and stability are presented and discussed. An adaptive time spectral element methodology is proposed for Lagrangian spectral elements and its computational performance is demonstrated for stiff systems of ordinary differential equations.

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✍ Pinchas Bar-Yoseph; Moshe Israeli πŸ“‚ Article πŸ“… 1986 πŸ› John Wiley and Sons 🌐 English βš– 720 KB

The Asymptotic Finite Element method for improvement of standard finite element solutions of perturbation equations by the addition of asymptotic corrections to the right hand side terms is presented. It is applied here to 1-D and 2-D diffusion-convection equations and to non-linear similarity equat