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Parallel finite element splitting-up method for parabolic problems

✍ Scribed by Xue-Cheng Tai; Pekka Neittaanmäki

Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
579 KB
Volume
7
Category
Article
ISSN
0749-159X

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✦ Synopsis

An efficient method for solving parabolic systems is presented. The proposed method is based on the splitting-up principle in which the problem is reduced to a series of independent 1D problems. This enables it to be used with parallel processors. We can solve multidimensional problems by applying only the 1D method and consequently avoid the difficulties in constructing a finite element space for multidimensional problems. The method is suitable for general domains as well as rectangnlar domains. Every ID subproblem is solved by applying cubic B-splines.

Several numerical examples are presented.

📜 SIMILAR VOLUMES

Mortar element methods for parabolic pro
Mortar element methods for parabolic problems
✍ Ajit Patel; Amiya K. Pani; Neela Nataraj 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 291 KB 👁 1 views

## Abstract In this article a standard mortar finite element method and a mortar element method with Lagrange multiplier are used for spatial discretization of a class of parabolic initial‐boundary value problems. Optimal error estimates in __L__^__∞__^(__L__^2^) and __L__^__∞__^(__H__^1^)‐norms fo