TY - JOUR T1 - Mixed Finite Element Methods for a Strongly Nonlinear Parabolic Problem AU - Chen , Yan-Ping JO - Journal of Computational Mathematics VL - 2 SP - 209 EP - 220 PY - 1999 DA - 1999/04 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9095.html KW - Finite element method, Nonlinear parabolic problem. AB -
A mixed finite element method is developed to approximate the solution of a strongly nonlinear second-order parabolic problem. The existence and uniqueness of the approximation are demonstrated and $L^2$-error estimates are established for both the scalar function and the flux. Results are given for the continuous-time case.