A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem

Journal Article · Thu Mar 15 04:00:00 EDT 2018 · Computational and Applied Mathematics

DOI:https://doi.org/10.1007/S40314-016-0339-3· OSTI ID:22769389

Zarin, Helena ^[1]; Roos, Hans-Görg ^[2]; Teofanov, Ljiljana ^[3]

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1. University of Novi Sad, Department of Mathematics and Informatics, Faculty of Sciences (Serbia)
2. Technical University of Dresden, Institute of Numerical Mathematics (Germany)
3. University of Novi Sad, Department for Fundamental Disciplines, Faculty of Technical Sciences (Serbia)

We propose a continuous interior penalty finite element method designed for a third-order singularly perturbed problem. Using higher order polynomials on Shishkin-type layer-adapted meshes, a robust convergence has been proved in the corresponding energy norm. Moreover, we show numerical experiments which support our theoretical findings.

• OSTI ID: 22769389
• Journal Information: Computational and Applied Mathematics, Journal Name: Computational and Applied Mathematics Journal Issue: 1 Vol. 37; ISSN 0101-8205
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
BOUNDARY-VALUE PROBLEMS
CONVERGENCE
DIFFERENTIAL EQUATIONS
FINITE ELEMENT METHOD
POLYNOMIALS