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Numerical homogenization beyond scale separation
Numerical homogenization is a methodology for the computational solution of multiscale
partial differential equations. It aims at reducing complex large-scale problems to simplified …
partial differential equations. It aims at reducing complex large-scale problems to simplified …
[PDF][PDF] Multiscale coarse spaces for overlap** Schwarz methods based on the ACMS space in 2D
Two-level overlap** Schwarz domain decomposition methods for second-order elliptic
problems in two dimensions are proposed using coarse spaces constructed from the …
problems in two dimensions are proposed using coarse spaces constructed from the …
A parallel implementation of a two-level overlap** Schwarz method with energy-minimizing coarse space based on Trilinos
We describe a new implementation of a two-level overlap** Schwarz preconditioner with
energy-minimizing coarse space (GDSW: generalized Dryja--Smith--Widlund) and show …
energy-minimizing coarse space (GDSW: generalized Dryja--Smith--Widlund) and show …
The multiscale finite element method for nonlinear continuum localization problems at full fine-scale fidelity, illustrated through phase-field fracture and plasticity
LH Nguyen, D Schillinger - Journal of Computational Physics, 2019 - Elsevier
The residual-driven iterative corrector scheme recently presented by the authors for linear
problems has opened a pathway to achieve the best possible fine-mesh accuracy in the …
problems has opened a pathway to achieve the best possible fine-mesh accuracy in the …
Hybrid localized spectral decomposition for multiscale problems
We consider a finite element method for elliptic equations with heterogeneous and possibly
high-contrast coefficients based on primal hybrid formulation. We assume minimal regularity …
high-contrast coefficients based on primal hybrid formulation. We assume minimal regularity …
An adaptive GDSW coarse space for two-level overlap** Schwarz methods in two dimensions
We propose robust coarse spaces for two-level overlap** Schwarz preconditioners, which
are extensions of the energy minimizing coarse space known as GDSW (Generalized Dryja …
are extensions of the energy minimizing coarse space known as GDSW (Generalized Dryja …
A model-updating approach based on the component mode synthesis method and perturbation analysis
T Wang, H He, W Yan, GP Chen - Journal of Sound and Vibration, 2018 - Elsevier
A model-updating approach based on an improved free-interface component mode
synthesis method is proposed. First, the equivalent higher-order matrix of the system is …
synthesis method is proposed. First, the equivalent higher-order matrix of the system is …
Fast-convergent two-level restricted additive Schwarz methods based on optimal local approximation spaces
A Strehlow, C Ma, R Scheichl - ar** 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 …
help to predict plaque rupture. Therefore, a robust and efficient numerical framework for …
Parallel adaptive FETI‐DP using lightweight asynchronous dynamic load balancing
Summary A parallel FETI‐DP domain decomposition method using an adaptive coarse
space is presented. The implementation builds on a recently introduced adaptive FETI‐DP …
space is presented. The implementation builds on a recently introduced adaptive FETI‐DP …