@Article{JCM-19-4, author = {Yan-Ping, Chen and Yuan-Qing, Huang}, 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/2001-JCM-8991}, url = {https://global-sci.com/article/85486/improved-error-estimates-for-mixed-finite-element-for-nonlinear-hyperbolic-equations-the-continuous-time-case} }