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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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The $p$-version of the finite element method for constraint boundary conditions
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by I. Babuška and Manil Suri PDF
Math. Comp. 51 (1988), 1-13 Request permission

Abstract:

The paper addresses the implementation of general constraint boundary conditions for a system of equations by the p-version of the finite element method. By constraint boundary conditions we mean conditions where some relation between the components is prescribed at the boundary. Optimal error bounds are proven.
References
    I. Babuška, The p and h-p Versions of the Finite Element Method, The State of the Art, Technical Note BN-1156, Institute for Physical Science and Technology, University of Maryland, 1986.
  • I. Babuška and Manil Suri, The optimal convergence rate of the $p$-version of the finite element method, SIAM J. Numer. Anal. 24 (1987), no. 4, 750–776. MR 899702, DOI 10.1137/0724049
  • I. Babuška and Manil Suri, The $h$-$p$ version of the finite element method with quasi-uniform meshes, RAIRO Modél. Math. Anal. Numér. 21 (1987), no. 2, 199–238 (English, with French summary). MR 896241, DOI 10.1051/m2an/1987210201991
  • I. Babuška & M. Suri, The Treatment of Nonhomogeneous Dirichlet Boundary Conditions by the p-Version of the Finite Element Method, Technical Note BN-1063, Institute for Physical Science and Technology, University of Maryland, 1987. J. L. Lions & E. Magenes, Non-Homogeneous Boundary Value Problems and Applications-I, Springer-Verlag, New York, Heidelberg, Berlin, 1972. B. A. Szabó, PROBE: Theoretical Manual, Noetic Technologies Corporation, St. Louis, Missouri, 1985.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Math. Comp. 51 (1988), 1-13
  • MSC: Primary 65N30
  • DOI: https://doi.org/10.1090/S0025-5718-1988-0942140-7
  • MathSciNet review: 942140