5 research outputs found
BDDC by a frontal solver and the stress computation in a hip joint replacement
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.Comment: Expanded, 22 pages, 8 figure
Adaptive BDDC in Three Dimensions
The adaptive BDDC method is extended to the selection of face constraints in
three dimensions. A new implementation of the BDDC method is presented based on
a global formulation without an explicit coarse problem, with massive
parallelism provided by a multifrontal solver. Constraints are implemented by a
projection and sparsity of the projected operator is preserved by a generalized
change of variables. The effectiveness of the method is illustrated on several
engineering problems.Comment: 28 pages, 9 figures, 9 table