Thursday, September 14, 9:30 am in room MTH 3206, University of Maryland,
College Park
Mixed finite element methods on distorted rectangular grids
Dr. Jian Shen
Computer Science Department,
University of Maryland
jshen@cs.UMD.EDU
A new mixed finite element method on totally distorted rectangular
meshes is introduced with optimal error estimates for both pressure and
velocity. This new mixed discretization fits the geometric shapes of the
discontinuity of the rough coefficients and domain boundaries well. This
new mixed method also enables us to derive the optimal error estimates and
existence and uniqueness of Thomas's mixed finite elements method on distorted
rectangular grids. The Lowest order Raviart-Thomas mixed finite rectangular
element method becomes a special case of both methods, when all the elements
are degenerated to parallelograms.
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