Adaptive ﬁnite element methods for conservation laws based on a posteriori error estimates
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
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.
CONVECTION-DIFFUSION PROBLEMS, SHOCK PROFILES, CONVERGENCE, STABILITY, EQUATIONS, WAVES
IdentifiersURN: urn:nbn:se:kth:diva-51569DOI: 10.1002/cpa.3160480302ISI: A1995QZ58100001OAI: oai:DiVA.org:kth-51569DiVA: diva2:464625
QC 201112142011-12-132011-12-132011-12-14Bibliographically approved