caa a22 4500 378875051 CHVBK 20180305123418.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0037 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0037 A Priori Error Analysis for the hp-Version of the Discontinuous Galerkin Finite Element Method for the Biharmonic Equation [Elektronische Daten] We consider the hp-version of the discontinuous Galerkin finite element approximation of boundary value problems for the biharmonic equation. Our main concern is the a priori error analysis of the method, based on a nonsymmetric bilinear form with interior discontinuity penalization terms. We establish an a priori error bound for the method which is of optimal order with respect to the mesh size h , and nearly optimal with respect to the degree p of the polynomial approximation. For analytic solutions, the method exhibits an exponential rate of convergence under p- refinement. These results are shown in the DG-norm for a general shape regular family of partitions consisting of d-dimensional parallelepipeds. The theoretical results are confirmed by numerical experiments. The method has also been tested on several practical problems of thin-plate-bending theory and has been shown to be competitive in accuracy with existing algorithms. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. discontinuous Galerkin methods nationallicence biharmonic equation nationallicence thin plate theory nationallicence Mozolevski Igor Federal University of Santa Catarina, Mathematical Department Trindade, Florian´opolis, SC, 88040-900, Brazil. Süli Endre Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, UK. Computational Methods in Applied Mathematics De Gruyter 3/4(2003), 596-607 1609-4840 3:4<596 2003 3 cmam https://doi.org/10.2478/cmam-2003-0037 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0037 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mozolevski Igor Federal University of Santa Catarina, Mathematical Department Trindade, Florian´opolis, SC, 88040-900, Brazil NATIONALLICENCE 700 1- Süli Endre Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, UK NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/4(2003), 596-607 1609-4840 3:4<596 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter