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
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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.
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