On the p-version of the finite element method for the nonstationary stokes problem

References

• Agmon , S. , Douglis , A. and Nirenberg , L. 1964 . Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II . Comm.Pure Appl. Math , 17 : 35 – 92 .
   Web of Science ®Google Scholar
• Babuska , Szabo , B.A. and Katz , I.N. 1981 . The p-version of the finite element method . SIAMJ. Numer. Anal , 18 : 515 – 545 .
   Web of Science ®Google Scholar
• Ciarlet , P.G. 1978 . The Finite Element Method for Elliptic Probrems , North-Holland : Amsterdam .
   Google Scholar
• Dobrowolski , M. 1981 . A mixed finite element method for solving the nonstationary Stokes equation . Numer. Math. , 36 : 225 – 236 .
   Google Scholar
• Girault , V. and Raviart , P.A. 1979 . Finite Element Approximation of the Navier-Stokes equations , Vol. 749 , Berlin : Springer .
   Google Scholar
• Hebeker , F.K. 1982 . The penalty method applied to the instationary Stokes equations . Applicable Analysis , 14 : 137 – 154 .
   Web of Science ®Google Scholar
• Rektorys , K. 1971 . On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables . Czechoslovak Mathematical Journal , 21 ( 96 ) : 318 – 339 .
   Google Scholar
• Rektorys , K. 1980 . Variational Methods in Mathematics, Science and Engineering , Dordrecht Holland : D. Riedel Publ. Co .
   Google Scholar
• Temam , R. 1977 . Navier-Stokes Equations : Theory and Numerical Analy sis , North-Holland : Amsterdam .
   Google Scholar
• Vogelius , M. 1983 . A right inverse for the divergence operator in spaces of piecewise polynomials : Application to the p version of the finite element method . Numer. Math. , 41 : 14 – 37 .
   Google Scholar