English

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

Numerical Analysis 2013-11-12 v2

Abstract

A parallel implementation of the BDDC method using the frontal solver is employed to solve systems of linear equations from finite element analysis, and incorporated into a standard finite element system for engineering analysis by linear elasticity. Results of computation of stress in a hip replacement are presented. The part is made of titanium and loaded by the weight of human body. The performance of BDDC with added constraints by averages and with added corners is compared.

Cite

@article{arxiv.0802.4295,
  title  = {BDDC by a frontal solver and the stress computation in a hip joint replacement},
  author = {Jakub Šístek and Jaroslav Novotný and Jan Mandel and Marta Čertíková and Pavel Burda},
  journal= {arXiv preprint arXiv:0802.4295},
  year   = {2013}
}

Comments

Expanded, 22 pages, 8 figures

R2 v1 2026-06-21T10:16:58.722Z