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Mixed finite element methods with moving grids for parabolic problems. (Chinese) Zbl 0656.65101
Some fully discrete mixed finite element methods with moving grids are presented for approximating the solution to second order nonlinear parabolic problems. It is shown that these methods have the advantages of the mixed FEM and moving FEM. Error estimates are made and these methods are proved to have the optimal convergent order in some sense.
MSC:
65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
65N15Error bounds (BVP of PDE)
65N50Mesh generation and refinement (BVP of PDE)
35K60Nonlinear initial value problems for linear parabolic equations