. " parallel computations" . . "0"^^ . "Domain Decomposition methods" . " BDDC" . " flow problems" . . "2014-12-31+01:00"^^ . . " ALE" . "0"^^ . "4"^^ . "4"^^ . . "1"^^ . "LH11004" . "2011-03-01+01:00"^^ . "Domain Decomposition Methods"@en . "Metody rozkladu na podoblasti" . . . . "The general aim of the project is developement of domain decomposition methods in partnership with the team of Professor Mandel at the Center for Computational Mathematics, University of Colorado Denver. The main goal of the project is developement of the algorithm of the adaptive multilevel BDDC (Balancing Domain Decomposition based on Constraints) method, its parallel implementation and application to chalenging problems of elasticity and flows. We are going to develop the adaptive and multilevel BDDC methods and their combination, i.e. adaptive multilevel BDDC. We intend to study the means of composition of quantities from particular subdomains (averaging) and propose its improvement. We also intend to develop ALE algorithm for problems of interaction in connection with the BDDC method. Developed methods will be tested on practical engineering problems."@en . "Domain Decomposition methods; BDDC; ALE; parallel computations; elasticity; flow problems; aeroelasticity"@en . . "http://www.isvav.cz/projectDetail.do?rowId=LH11004"^^ . "2013-03-06+01:00"^^ . "Obecn\u00FDm c\u00EDlem projektu je rozvoj matematick\u00FDch metod rozkladu na podoblasti (Domain Decomposition) spole\u010Dn\u00FDm \u00FAsil\u00EDm na\u0161\u00ED skupiny a skupiny z Center for Computational Mathematics na University of Colorado Denver. Hlavn\u00EDm c\u00EDlem projektu je pak vyvinout algoritmus adaptivn\u00ED v\u00EDce\u00FArov\u0148ov\u00E9 metody BDDC, paraleln\u011B jej implementovat a aplikovat na re\u00E1ln\u00E9 \u00FAlohy anal\u00FDzy pru\u017Enosti a proud\u011Bn\u00ED. Konkr\u00E9tn\u011B chceme vyvinout adaptivn\u00ED metodu BDDC, d\u00E1le budeme vyv\u00EDjet v\u00EDce\u00FArov\u0148ovou metodu BDDC, a jejich spojen\u00ED, t.j. adaptivn\u00ED v\u00EDce\u00FArov\u0148ovou metodu BDDC. Tak\u00E9 se budeme zab\u00FDvat zp\u016Fsobem skl\u00E1d\u00E1n\u00ED veli\u010Din z jednotliv\u00FDch subdom\u00E9n (tzv. pr\u016Fm\u011Brov\u00E1n\u00EDm) a navrhneme jeho vylep\u0161en\u00ED. D\u00E1le bude vyvinut ALE algoritmus pro \u00FAlohy interakce. Metody vyzkou\u0161\u00EDme na re\u00E1ln\u00FDch \u00FAloh\u00E1ch z technick\u00E9 praxe. B\u011Bhem t\u00E9to doby p\u0159edpokl\u00E1d\u00E1me publikaci v\u00FDsledk\u016F formou 1 \u010Dl\u00E1nku v mezin\u00E1rodn\u00EDm \u010Dasopise a 3 \u010Dl\u00E1nk\u016F v recenzovan\u00FDch sborn\u00EDc\u00EDch z konferenc\u00ED." . " elasticity" . "2015-02-16+01:00"^^ . . . . . . . . . .