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Enclosure for the Biharmonic Equation

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Abstract

In this paper we give an enclosure for the solution of the biharmonic problem and also for its gradient and Laplacian in the $L_2$-norm, respectively.

BibTeX - Entry

@InProceedings{fazekas_et_al:DagSemProc.05391.4,
  author =	{Fazekas, Borb\'{a}la and Plum, Michael and Wieners, Christian},
  title =	{{Enclosure for the Biharmonic Equation}},
  booktitle =	{Algebraic and Numerical Algorithms and Computer-assisted Proofs},
  pages =	{1--5},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{5391},
  editor =	{Bruno Buchberger and Shin'ichi Oishi and Michael Plum and Sigfried M. Rump},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2006/448},
  URN =		{urn:nbn:de:0030-drops-4489},
  doi =		{10.4230/DagSemProc.05391.4},
  annote =	{Keywords: Biharmonic problem, enclosure, finite elements}
}

Keywords: Biharmonic problem, enclosure, finite elements
Seminar: 05391 - Algebraic and Numerical Algorithms and Computer-assisted Proofs
Issue date: 2006
Date of publication: 31.01.2006


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