BDDC by a frontal solver and the stress computation in a hip joint replacement
Jakub \v{S}\'istek, Jaroslav Novotn\'y, Jan Mandel, Marta, \v{C}ert\'ikov\'a, Pavel Burda
TL;DR
This paper presents a parallel BDDC method implementation using a frontal solver for finite element systems, applied to compute stress in a titanium hip replacement, comparing different constraint strategies.
Contribution
It introduces a parallel BDDC approach with a frontal solver for finite element analysis and evaluates its performance on a hip replacement model.
Findings
BDDC with added constraints improves solution accuracy.
Parallel implementation enhances computational efficiency.
Stress analysis results for titanium hip replacement are provided.
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.
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