Efficient preconditioning of hp-FEM matrices arising from time-varying problems: an application to topology optimization

We previously introduced a preconditioner that has proven effective for hp-FEM dis- cretizations of various challenging elliptic and hyperbolic problems. The construc- tion is inspired by standard nested dissection, and relies on the assumption that the Schur complements can be approximated, to high precision, by Hierarchically-Semi- Separable matrices. The preconditioner is built as an approximate LDMt factorization through a divide-and-conquer approach. This implies an enhanced flexibility which allows to handle unstructured geometric meshes, anisotropies, and discontinuities. We build on our previous numerical experiments and develop a preconditioner- update strategy that allows us handle time-varying problems. We investigate the performance of the precondition along with the update strategy in context of topology optimization of an acoustic cavity.


Published in:
Computer Methods in Applied Mechanics and Engineering, 322, 81-96
Year:
2017
Publisher:
Elsevier
ISSN:
0045-7825
Keywords:
Laboratories:




 Record created 2016-11-02, last modified 2018-09-13

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