TY - JOUR
T1 - Improved Error Estimates for Mixed Finite Element for Nonlinear Hyperbolic Equations: The Continuous-Time Case
AU - Chen , Yan-Ping
AU - Huang , Yuan-Qing
JO - Journal of Computational Mathematics
VL - 4
SP - 385
EP - 392
PY - 2001
DA - 2001/08
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8991.html
KW - Nonlinear hyperbolic equations, Mixed finite element methods, Error estimates, Superconvergence.
AB - <p style="text-align: justify;">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.</p>