Singular Function Mortar Finite Element Methods
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| 024 | 7 | 0 | |a 10.2478/cmam-2003-0014 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0014 | ||
| 245 | 0 | 0 | |a Singular Function Mortar Finite Element Methods |h [Elektronische Daten] |
| 520 | 3 | |a We consider the Poisson equation with Dirichlet boundary conditions on a polygonal domain with one reentrant corner. We introduce new nonconforming finite element discretizations based on mortar techniques and singular functions. The main idea introduced in this paper is the replacement of cut-off functions by mortar element techniques on the boundary of the domain. As advantages, the new discretizations do not require costly numerical integrations and have smaller a priori error estimates and condition numbers. Based on such an approach, we prove optimal accuracy error bounds for the discrete solution. Based on such techniques, we also derive new extraction formulas for the stress intensive factor. We establish optimal accuracy for the computed stress intensive factor. Numerical examples are presented to support our theory. | |
| 540 | |a 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. | ||
| 690 | 7 | |a mortar elements |2 nationallicence | |
| 690 | 7 | |a corner singularity |2 nationallicence | |
| 690 | 7 | |a nonconforming finite element |2 nationallicence | |
| 700 | 1 | |a Sarkis |D Marcus |u Instituto de Matem´atica Pura e Aplicada, Est. Dona Castorina, 110, Rio de Janeiro, RJ, CEP 22420-320, Brazil. Mathematical Sciences Department, Worcester Polytechnic Institute, 100 Institute Rd, Worcester, MA 01619. | |
| 700 | 1 | |a Tu |D Xuemin |u Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/1(2003), 202-218 |x 1609-4840 |q 3:1<202 |1 2003 |2 3 |o cmam | |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2003-0014 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sarkis |D Marcus |u Instituto de Matem´atica Pura e Aplicada, Est. Dona Castorina, 110, Rio de Janeiro, RJ, CEP 22420-320, Brazil. Mathematical Sciences Department, Worcester Polytechnic Institute, 100 Institute Rd, Worcester, MA 01619 | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tu |D Xuemin |u Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012 | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/1(2003), 202-218 |x 1609-4840 |q 3:1<202 |1 2003 |2 3 |o cmam | ||
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