Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 3 : pp. 275–284
Abstract
In this paper, the linear finite element approximation to the positive and symmetric, linear hyperbolic systems is analyzed and an $O(h^2)$ order error estimate is established under the conditions of strongly regular triangulation and the $H^3$-regularity for the exact solutions. The convergence analysis is based on some superclose estimates derived in this paper. Our method and result here are also applicable to general hyperbolic problems. Finally, we discuss the linearized shallow water system of equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8815
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 3 : pp. 275–284
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Hyperbolic problems Finite element approximations Optimal error estimates.