Improved Error Estimates for Mixed Finite Element for Nonlinear Hyperbolic Equations: The Continuous-Time Case
Year: 2001
Author: Yan-Ping Chen, Yuan-Qing Huang
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 385–392
Abstract
Improved $L_2$-error estimates are computed for mixed finite element methods for second order nonlinear hyperbolic equations. Results are given for the continuous-time case. The convergence of the values for both the scalar function and the flux is demonstrated. The technique used here covers the lowest-order Raviart-Thomas spaces, as well as the higher-order spaces. A second paper will present the analysis of a fully discrete scheme.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8991
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 385–392
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Nonlinear hyperbolic equations Mixed finite element methods Error estimates Superconvergence.