"Soused\u00EDk, Bed\u0159ich" . . . . "[4A8C9F2B80AA]" . "Adaptive-Multilevel BDDC and its parallel implementation" . "Computing" . "BDDC; parallel algorithms; domain decomposition"@en . "3"^^ . . . . "95" . "Mandel, J." . "RIV/61388998:_____/13:00423788" . "\u0160\u00EDstek, Jakub" . . . "12" . "1"^^ . "0010-485X" . "32"^^ . "We combine the adaptive and multilevel approaches to the BDDC and formulate a method which allows an adaptive selection of constraints on each decomposition level. We also present a strategy for the solution of local eigenvalue problems in the adaptive algorithm using the LOBPCG method with a preconditioner based on standard components of the BDDC. The effectiveness of the method is illustrated on several engineering problems. It appears that the Adaptive-Multilevel BDDC algorithm is able to effectively detect troublesome parts on each decomposition level and improve convergence of the method. The developed open-source parallel implementation shows a good scalability as well as applicability to very large problems and core counts." . "AT - Rakousk\u00E1 republika" . "59503" . . "Adaptive-Multilevel BDDC and its parallel implementation"@en . . . "Adaptive-Multilevel BDDC and its parallel implementation"@en . . "000326885100001" . . "10.1007/s00607-013-0293-5" . . . "Adaptive-Multilevel BDDC and its parallel implementation" . "I, P(GA106/08/0403)" . "RIV/61388998:_____/13:00423788!RIV14-GA0-61388998" . . . "We combine the adaptive and multilevel approaches to the BDDC and formulate a method which allows an adaptive selection of constraints on each decomposition level. We also present a strategy for the solution of local eigenvalue problems in the adaptive algorithm using the LOBPCG method with a preconditioner based on standard components of the BDDC. The effectiveness of the method is illustrated on several engineering problems. It appears that the Adaptive-Multilevel BDDC algorithm is able to effectively detect troublesome parts on each decomposition level and improve convergence of the method. The developed open-source parallel implementation shows a good scalability as well as applicability to very large problems and core counts."@en .