caa a22 4500 467939179 CHVBK 20180406153007.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10444-004-7618-z doi (NATIONALLICENCE)springer-10.1007/s10444-004-7618-z The optimal convergence of the h - p version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains [Elektronische Daten] [Benqi Guo, Norbert Heuer] In the framework of the Jacobi-weighted Besov spaces, we analyze the lower and upper bounds of errors in the h-p version of boundary element solutions on quasiuniform meshes for elliptic problems on polygons. Both lower bound and upper bound are optimal in h and p, and they are of the same order. The optimal convergence of the h-p version of boundary element method with quasiuniform meshes is proved, which includes the optimal rates for h version with quasiuniform meshes and the p version with quasiuniform degrees as two special cases. Springer, 2006 h - p version with quasiuniform meshes nationallicence boundary element method nationallicence optimal rate of convergence nationallicence Guo Benqi Department of Mathematics, University of Manitoba, R3T 2N2, Winnipeg, MB, Canada aut Heuer Norbert GI2MA, Departamento de Ingeniería Matemática, Universidad de Concepción, 160-C, Concepción, Casilla, Chile aut Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 353-374 1019-7168 24:1-4<353 2006 24 10444 https://doi.org/10.1007/s10444-004-7618-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7618-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Guo Benqi Department of Mathematics, University of Manitoba, R3T 2N2, Winnipeg, MB, Canada aut NATIONALLICENCE 700 1- Heuer Norbert GI2MA, Departamento de Ingeniería Matemática, Universidad de Concepción, 160-C, Concepción, Casilla, Chile aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 353-374 1019-7168 24:1-4<353 2006 24 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer