A parallel implementation of a two-level overlap** Schwarz method with energy-minimizing coarse space based on Trilinos

A Heinlein, A Klawonn, O Rheinbach - SIAM Journal on Scientific Computing, 2016 - SIAM
We describe a new implementation of a two-level overlap** Schwarz preconditioner with
energy-minimizing coarse space (GDSW: generalized Dryja--Smith--Widlund) and show …

Numerical investigations of the free surface effect in three-dimensional polycrystalline aggregates

Y Guilhem, S Basseville, F Curtit, JM Stephan… - Computational Materials …, 2013 - Elsevier
The aim of the present paper is to investigate the consequences of the loading on the free
surface response in polycrystalline aggregates. The study is made on a 316L stainless steel …

[BOOK][B] Hybrid MPI/OpenMP parallelization in FETI-DP methods

A Klawonn, M Lanser, O Rheinbach, H Stengel… - 2015 - Springer
We present an approach to hybrid MPI/OpenMP parallelization in FETI-DP methods using
OpenMP with PETSc+ MPI in the finite element assembly and using the shared memory …

Parallel overlap** Schwarz preconditioners and multiscale discretizations with applications to fluid-structure interaction and highly heterogeneous problems

A Heinlein - 2016 - kups.ub.uni-koeln.de
Accurate simulations of transmural wall stresses in artherosclerotic coronary arteries may
help to predict plaque rupture. Therefore, a robust and efficient numerical framework for …

A dissection solver with kernel detection for symmetric finite element matrices on shared memory computers

A Suzuki, FX Roux - International Journal for Numerical …, 2014 - Wiley Online Library
SUMMARY A direct solver for symmetric sparse matrices from finite element problems is
presented. The solver is supposed to work as a local solver of domain decomposition …

High scalable non-overlap** domain decomposition method using a direct method for finite element analysis

M Tak, T Park - Computer Methods in Applied Mechanics and …, 2013 - Elsevier
In this paper, a novel domain decomposition method is introduced to solve a large finite
element model. In this method, the decomposed domains do not overlap and are connected …

Domain decomposition approach applied for two-and three-dimensional problems via direct solution methodology

JY Kwak, H Cho, TY Chun, SJ Shin… - International Journal of …, 2015 - koreascience.kr
This paper presents an all-direct domain decomposition approach for large-scale structural
analysis. The proposed approach achieves computational robustness and efficiency by …

Development of Nonlinear Structural Analysis Using Co-rotational Finite Elements with Improved Domain Decomposition Method

H Cho, JY Kwak, H Joo, SJ Shin - Domain Decomposition Methods in …, 2017 - Springer
Recent advances in computational science and technologies induce increasing size of the
engineering problems, and impact the fields of computational fluids and structural dynamics …