@Article{JCM-19-385, author = {Chen , Yan-Ping and Huang , Yuan-Qing}, title = {Improved Error Estimates for Mixed Finite Element for Nonlinear Hyperbolic Equations: The Continuous-Time Case}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {4}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8991.html} }