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Adaptive finite element methods for conservation laws based on a posteriori error estimates
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.
1995 (English)In: Communications on Pure and Applied Mathematics, ISSN 0010-3640, E-ISSN 1097-0312, Vol. 48, no 3, 199-234 p.Article in journal (Refereed) Published
Abstract [en]

We prove a posteriori error estimates for a finite element method for systems of strictly hyperbolic conservation laws in one space dimension, and design corresponding adaptive methods. The proof of the a posteriori error estimates is based on a strong stability estimate for an associated dual problem, together with the Galerkin orthogonality of the finite-element method. The strong stability estimate uses the entropy condition for the system in an essential way.

Place, publisher, year, edition, pages
NEW YORK: John Wiley & Sons, 1995. Vol. 48, no 3, 199-234 p.
Keyword [en]
CONVECTION-DIFFUSION PROBLEMS, SHOCK PROFILES, CONVERGENCE, STABILITY, EQUATIONS, WAVES
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Natural Sciences
Identifiers
URN: urn:nbn:se:kth:diva-51569DOI: 10.1002/cpa.3160480302ISI: A1995QZ58100001OAI: oai:DiVA.org:kth-51569DiVA: diva2:464625
Note
QC 20111214Available from: 2011-12-13 Created: 2011-12-13 Last updated: 2017-12-08Bibliographically approved

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