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Zbl 0656.65101
Yang, Daoqi
Mixed finite element methods with moving grids for parabolic problems. (Chinese. English summary)
[J] Math. Numer. Sin. 10, No.3, 266-271 (1988). ISSN 0254-7791

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 2000:: *65N30 Finite numerical methods (BVP of PDE)
65N15 Error bounds (BVP of PDE)
65N50 Mesh generation and refinement (BVP of PDE)
35K60 (Nonlinear) BVP for (non)linear parabolic equations

Keywords: optimal convergence order; fully discrete mixed finite element methods; moving grids; second order nonlinear parabolic problems; Error estimates

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