An Analysis of a Finite Element Method of Low Degree for the Navier-StokesProblems

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Li likang.An Analysis of a Finite Element Method of Low Degree for the Navier-StokesProblems[J].Chinese Annals of Mathematics B,1987,8(1):43~55
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Authors:

Li likang;
Abstract: There are many papers in which approximate solution of Navier-Stokes problem is discussed by finite element method. Their error estimates are optimal, but degree of piecewise polynomials for pressure p or degree of piecewise polynomials for velocity u are not the lowest. In this papre a new element is given. Its degre for p and degree for u are the lowest and error estimates are optimal.

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