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Regularization techniques for numerical approximations of PDEs with singularities
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
2003 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 19, no 1-3, 527-552 p.Article in journal (Refereed) Published
Abstract [en]

The rate of convergence for numerical methods approximating differential equations are often drastically reduced from lack of regularity in the solution. Typical examples are problems with singular source terms or discontinuous material coefficients. We shall discuss the technique of local regularization for handling these problems. New numerical methods are presented and analyzed and numerical examples are given. Some serious deficiencies in existing regularization methods are also pointed out.

Place, publisher, year, edition, pages
2003. Vol. 19, no 1-3, 527-552 p.
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-90274DOI: 10.1023/A:1025332815267OAI: oai:DiVA.org:kth-90274DiVA: diva2:504811
Note
NR 20140805Available from: 2012-02-21 Created: 2012-02-21 Last updated: 2017-12-07Bibliographically approved

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Tornberg, Anna KarinEngquist, Björn
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