BDDC by a frontal solver and the stress computation in a hip joint replacement

Jakub Šístek, Jaroslav Novotný, Jan Mandel, Marta Čertíková, Pavel Burda

Type: Article

Publication Date: 2009-01-22

Citations: 10

DOI: https://doi.org/10.1016/j.matcom.2009.01.002

View Publication

Download PDF

Locations

Mathematics and Computers in Simulation - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Multi-Frontal Direct Solver Algorithm for Two-Dimensional Isogeometric Finite Element Method	2016
+ PDF Chat	Improved recovery of admissible stress in domain decomposition methods — application to heterogeneous structures and new error bounds for FETI‐DP	2017	Augustin Parret-Fréaud Valentine Rey Pierre Gosselet Christian Rey
+	Computational assessment of a stress recovery technique with equilibrium constraint	1995	T Lee H Park Seul-ki Lee
+	Improved recovery of admissible stress in domain decomposition methods - application to heterogeneous structures and new error bounds for FETI-DP	2016	Augustin Parret-Fréaud Valentine Rey Pierre Gosselet Christian Rey
+	Improved recovery of admissible stress in domain decomposition methods - application to heterogeneous structures and new error bounds for FETI-DP	2016	Augustin Parret-Fréaud Valentine Rey Pierre Gosselet Christian Rey
+	МЕТОДЫ РЕШЕНИЯ СЛАУ В КОНЕЧНО-ЭЛЕМЕНТНЫХ ПРОГРАММНЫХ КОМПЛЕКСАХ, МОДЕЛИРУЮЩИХ ДЕФОРМАЦИИ ТВЁРДЫХ ТЕЛ	2015	Y V Khalevitskiy
+	Material Modelling via Data Driven Finite Element Method: Theory and Applications	2020	M. Siddiq
+ PDF Chat	Implementation of error control for solving plane problems in linear elasticity by mixed finite elements	2014	M. E. Frolov
+	Incorporation of linear multipoint constraints in domain-decomposition-based iterative solvers – Part II: Blending FETI-DP and mortar methods and assembling floating substructures	2006	Henri Bavestrello Philip Avery Charbel Farhat
+	Imposing equilibrium on measured 3-D stress fields using Hodge decomposition and FFT-based optimization	2021	Hao Zhou Ricardo A. Lebensohn P. Reischig Wolfgang Ludwig Kaushik Bhattacharya
+	Plenary lecture 6: a weakened weak (W2) formulation for certified solutions with bounds, real-time computation and inverse analysis of biomechanics problems	2009	Guirong Liu
+	Towards Green Multi-frontal Solver for Adaptive Finite Element Method	2015	H. AbbouEisha Mikhail Moshkov Konrad Jopek Paweł Gepner Jacek Kitowski Maciej Paszyński
+	Численное моделирование в медицине на основе моделей механики сплошных сред	2008	М. С. Богомолова И. Б. Петров
+	Автоматизированный программный комплекс для поиска оптимального набора параметров весового метода конечных элементов на вычислительном кластере	2015	Рукавишников Виктор Анатольевич Маслов Олег Владимирович Мосолапов Андрей Олегович Николаев Сергей Георгиевич
+ PDF Chat	Finite Element Modelling of Shock-Induced Damages on Ceramic Hip Prostheses	2011	Juliana Uribe Jérôme Hausselle Jean Géringer
+	О ПАРАЛЛЕЛЬНЫХ РЕШАТЕЛЯХ В КОНЕЧНОЭЛЕМЕНТНЫХ ПРОГРАММНЫХ КОМПЛЕКСАХ, ОРИЕНТИРОВАННЫХ НА МНОГОЯДЕРНЫЕ КОМПЬЮТЕРЫ С ОБЩЕЙ ОПЕРАТИВНОЙ ПАМЯТЬЮ	2016	Sergey Fialko
+ PDF Chat	Comments on combination of vectorized and parallel code for elastic problems	2023	Martin Čermák
+ PDF Chat	Sur la modélisation des ondes élastiques dans les structures : calculs adaptatif et parallèle avec équilibrage de charges	2002	Bing Tié Denis Aubry Jean-Michel Leclère
+ PDF Chat	Simulation of soft tissue deformation in real-time using domain decomposition	2019	Ryadh Haferssas Pierre-Henri Tournier Frédéric Nataf Stéphane Cotin
+ PDF Chat	Strict lower bounds with separation of sources of error in non‐overlapping domain decomposition methods	2016	Valentine Rey Pierre Gosselet C. Rey

Works That Cite This (4)

Action	Title	Year	Authors
+ PDF Chat	Adaptive BDDC in three dimensions	2011	Jan Mandel Bedřich Sousedík Jakub Šístek
+	Unbounded Domains	2012	Clemens Pechstein
+ PDF Chat	Application of the parallel BDDC preconditioner to the Stokes flow	2011	Jakub Šístek Bedřich Sousedík Pavel Burda Jan Mandel Jaroslav Novotný
+ PDF Chat	Face-based selection of corners in 3D substructuring	2011	Jakub Šístek Marta Čertíková Pavel Burda Jaroslav Novotný

Works Cited by This (5)

Action	Title	Year	Authors
+	A scalable dual-primal domain decomposition method	2000	Charbel Farhat Michael Lesoinne Kendall Pierson
+	An algebraic theory for primal and dual substructuring methods by constraints	2004	Jan Mandel Clark R. Dohrmann Radek Tezaur
+ PDF Chat	FETI-DP, BDDC, and block Cholesky methods	2005	Jing Li Olof B. Widlund
+ PDF Chat	Face-based selection of corners in 3D substructuring	2011	Jakub Šístek Marta Čertíková Pavel Burda Jaroslav Novotný
+ PDF Chat	BDDC and FETI-DP under minimalist assumptions	2007	Jan Mandel Bedřich Sousedík