An Absolutely Stabilized Finite Element Method for the Stokes Problem

نویسندگان

  • Junping Wang
  • JUNPING WANG
چکیده

An absolutely stabilized finite element formulation for the Stokes problem is presented in this paper. This new formulation, which is nonsymmetric but stable without employment of any stability constant, can be regarded as a modification of the formulation proposed recently by Hughes and Franca in [8]. Optimal error estimates in L2-norm for the new stabilized finite element approximation of both the velocity and the pressure fields are established, as well as one in H1-norm for the velocity field.

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تاریخ انتشار 1989