caa a22 4500 378885596 CHVBK 20180305123442.0 cr unu---uuuuu 161128e20040401xx s 000 0 eng 10.1515/1569395041172917 doi (NATIONALLICENCE)gruyter-10.1515/1569395041172917 Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods [Elektronische Daten] [M. Dryja, A. Gantner, O.B. Widlund, B.I. Wohlmuth] Mortar elements form a family of special non-overlapping domain decomposition methods which allows the coupling of different triangulations across subdomain boundaries. We discuss and analyze a multilevel preconditioner for mortar finite elements on nonmatching triangulations. The analysis is carried out within the abstract framework of additive Schwarz methods. Numerical results show a performance of our preconditioner as predicted by the theory. Our condition number estimate depends quadratically on the number of refinement levels. Copyright 2004, Walter de Gruyter domain decomposition nationallicence elliptic mortar finite element method nationallicence non-matching triangulations nationallicence preconditioned conjugate gradients nationallicence additive Schwarz methods nationallicence Dryja M. Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland aut Gantner A. Math. Institut, Universität Augsburg, Universitätsstr. 14, 86 156 Augsburg, Germany aut Widlund O.B. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York,NY 10012, USA aut Wohlmuth B.I. Department of Mathematics, Universität Stuttgart, Pfaffenwaldring 57, 70 569 Stuttgart, Germany aut Journal of Numerical Mathematics Walter de Gruyter 12/1(2004-04-01), 23-38 1570-2820 12:1<23 2004 12 jnma https://doi.org/10.1515/1569395041172917 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569395041172917 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dryja M. Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland aut NATIONALLICENCE 700 1- Gantner A. Math. Institut, Universität Augsburg, Universitätsstr. 14, 86 156 Augsburg, Germany aut NATIONALLICENCE 700 1- Widlund O.B. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York,NY 10012, USA aut NATIONALLICENCE 700 1- Wohlmuth B.I. Department of Mathematics, Universität Stuttgart, Pfaffenwaldring 57, 70 569 Stuttgart, Germany aut NATIONALLICENCE 773 0- Journal of Numerical Mathematics Walter de Gruyter 12/1(2004-04-01), 23-38 1570-2820 12:1<23 2004 12 jnma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter