Abstrakt

A new algorithm with mixed finite element method for semilinear parabolic equations

Wang Lin, Liu Huifang

A kind of two-dimensional semilinear parabolic equation is presented by two-gridmethods for nonconformingmixed finite element. The corresponding convergence analysis is presented and the error estimates are obtained by use of the interpolation operator instead of the conventional elliptic projectionwhich is an indispensable tool in the convergence analysis. Compared with the previous literature which was solved by conforming mixed finite element, the same order of convergence is obtained and the method can be parallelized in a highly efficient manner.