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The Babuška-Brezzi condition and the patch test: an example

✍ Scribed by I. Babuška; R. Narasimhan

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
1020 KB
Volume
140
Category
Article
ISSN
0045-7825

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✦ Synopsis

This paper discusses an example of a mixed finite element method in one dimension which satisfies the engineering patch test, but does not satisfy a uniform inf-sup condition. The inf-sup constant for this method is shown to be of order h2. The reasons for good results from bsenchmark problems for this method are addressed by characterizing the nature of input data for which the method performs well. Numerical results illustrating the effect of the non-uniform inf-sup condition are presented.

📜 SIMILAR VOLUMES

The generalized finite element method: a
The generalized finite element method: an example of its implementation and illustration of its performance
✍ T. Strouboulis; K. Copps; I. Babuška 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 419 KB 👁 2 views

The generalized ÿnite element method (GFEM) was introduced in Reference [1] as a combination of the standard FEM and the partition of unity method. The standard mapped polynomial ÿnite element spaces are augmented by adding special functions which re ect the known information about the boundary valu