论文信息 - A mixed finite element method for the stokes problem: an acceleration-pressure formulation

A mixed finite element method for the stokes problem: an acceleration-pressure formulation

The existing finite element methods [6,9,11] for the Stokes equation lead to a saddle-point problem. For removing certain restrictions on the elements and improving the accuracy, this paper develops a new method: the Stokes equation is treated as a first order linear system. Using a least squares method to minimize the defect in the differential operator, we find that the result converges asymptotically to optimal order in Sobolev spaces. In the 2-D case, if the domain is subdivided into regular triangles and the piecewise linear functions in the space H^1 are chosen to be trial functions for both velocity and pressure, then we have error estimates @?p - p^h@?:"0 + @?u - u^h@?"0 =< Ch^2

Ching L. Chang | Ching Lung Chang

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