"finite element method; three-dimensional structures; terahedral meshes; losal refinements; maximum angle condition; colouring; a posteriori estimates; polyhedron"@en . " three-dimensional structures" . "The first aim of this proposal is to write a monograph of the theory and applications of the finite element method for real/life three/dimensional problems. It will give the reader an overview of many important theorems, methods and algorithms. The book will be mainly based on the applicant's own results and results of his collaborators. The second aim is to perform fundamental research on the finite element method and to deal with its properties. In particular, we will examine local refinements of acute type tetrahedral meshes, finite element approximation of nonlinear elliptic and parabolic problems, a posteriori error astimates, etc."@en . . . . . "2009-04-03+02:00"^^ . . "0"^^ . . "IAA1019201" . . . " maximum angle condition" . . . "Metoda kone\u010Dn\u00FDch prvk\u016F pro trojrozm\u011Brn\u00E9 probl\u00E9my" . . . "Prvn\u00EDm c\u00EDlem tohoto projektu bude napsat monografii o teorii a aplikac\u00EDch metody kone\u010Dn\u00FDch prvk\u016F pro \u0159e\u0161en\u00ED skute\u010Dn\u00FDch trojrozm\u011Brn\u00FDch probl\u00E9m\u016F. \u010Cten\u00E1\u0159i bude pod\u00E1n p\u0159ehled mnoha d\u016Fle\u017Eit\u00FDch v\u011Bt, metod a algoritm\u016F. Kniha bude zalo\u017Eena zejm\u00E9na na vlastn\u00EDch v\u00FDsledc\u00EDch navrhovatele a jeho spolupracovn\u00EDk\u016F. Druh\u00FDm c\u00EDlem bude prov\u00E1d\u011Bt z\u00E1kladn\u00ED v\u00FDzkum metody kone\u010Dn\u00FDch prvk\u016F a zab\u00FDvat se jej\u00EDmi vlastnostmi. Zejm\u00E9na se bude vy\u0161et\u0159ovat lok\u00E1ln\u00ED zjem\u0148ov\u00E1n\u00ED netupo\u00FAhl\u00FDch triangulac\u00ED, aproximace neline\u00E1rn\u00EDch eliptick\u00FDch a parabolick\u00FDch \u00FAloh, apriorn\u00ED a aposteriorn\u00ED odhady, diskr\u00E9tn\u00ED princip maxima a srovn\u00E1vac\u00ED princip, pyramid\u00E1ln\u00ED kone\u010Dn\u00E9 prvky aj." . "38"^^ . "38"^^ . "finite element method" . " terahedral meshes" . "The finite element method for three-dimensional problems"@en . . " losal refinements" . . " colouring" . "http://www.isvav.cz/projectDetail.do?rowId=IAA1019201"^^ . "The main results are contained in 50 works, including 4 books published in Academia, Springer, VUTIUM and Math. Inst. We examined the finite element method and its real-life applications (generation of FE-meshes, local refinements, superconvergence)."@en . . . "Hlavn\u00ED v\u00FDsledky jsou uve\u0159ejn\u011Bny v 50 prac\u00EDch, 4 z nich jsou knihy publikovan\u00E9 v nakladatelstv\u00EDch Academia, Springer, VUTIUM a M\u00DA. Vy\u0161et\u0159ovali jsme metodu kone\u010Dn\u00FDch prvk\u016F a jej\u00ED praktick\u00E9 aplikace (vytv\u00E1\u0159en\u00ED s\u00EDt\u00ED, lok\u00E1ln\u00ED zjem\u0148ov\u00E1n\u00ED, superkonvergenci)."@cs . " a posteriori estimates" . "0"^^ . "1"^^ . . . .