caa a22 4500 465751695 CHVBK 20180323111835.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02238799 doi (NATIONALLICENCE)springer-10.1007/BF02238799 Coupling strategy for matching different methods in solving singularity problems [Elektronische Daten] [Z. Li, T. Bui] Über die Kombination verschiedener Methoden bei der Lösung von Singularititätsproblemen For solving elliptic boundary value problems with singularities, we have proposed the combined methods consisting of the Ritz-Galerkin method using singular (or analytic) basic functions for one part,S 2, of the solution domainS, where there exist singular points, and the finite element method for the remaining partS 1 ofS, where the solution is smooth enough. In this paper, general approaches using additional integrals are presented to match different numerical methods along their common boundary Г0. Errors and stability analyses are provided for such a general coupling strategy. These analyses are important because they form a theoretical basis for a number of combinations between the Ritz-Galerkin and finite element methods addressed in [7], and because they can lead to new combinations of other methods, such as the combined methods of the Ritz-Galerkin and finite difference methods. Moreover, the analyses in this paper can be applied or extended to solve general elliptic boundary value problems with angular singularities, interface singularity or unbounded domain. Springer-Verlag, 1990 Coupling strategy nationallicence combined methods nationallicence singularity problems nationallicence interface problems nationallicence elliptic equation nationallicence error analysis nationallicence stability analysis nationallicence optimal rate of convergence nationallicence Li Z. Centre de Recherche Informatique de Montreal Inc., 3744, Jean Brillant, Bureau 500, H3T 1P1, Montreal, Quebec, Canada aut Bui T. Department of Computer Science, Concordia University, 1455 de Maisonneuve Blvd. West, H3G 1M8, Montreal, Quebec, Canada aut Computing Springer-Verlag 45/4(1990-12-01), 311-319 0010-485X 45:4<311 1990 45 607 https://doi.org/10.1007/BF02238799 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02238799 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Z. Centre de Recherche Informatique de Montreal Inc., 3744, Jean Brillant, Bureau 500, H3T 1P1, Montreal, Quebec, Canada aut NATIONALLICENCE 700 1- Bui T. Department of Computer Science, Concordia University, 1455 de Maisonneuve Blvd. West, H3G 1M8, Montreal, Quebec, Canada aut NATIONALLICENCE 773 0- Computing Springer-Verlag 45/4(1990-12-01), 311-319 0010-485X 45:4<311 1990 45 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer