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Computational homogenization with million-way parallelism using domain decomposition methods

Computational mechanics, 2020, Vol.65 (1), p.1-22

2020

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Fully-coupled micro–macro finite element simulations of the Nakajima test using parallel computational homogenization

Computational mechanics, 2021-11, Vol.68 (5), p.1153-1178

2021

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Globalization of Nonlinear FETI-DP Domain Decomposition Methods Using an SQP Approach

Vietnam journal of mathematics, 2022-10, Vol.50 (4), p.1053-1079

2022

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Energy efficiency of nonlinear domain decomposition methods

The international journal of high performance computing applications, 2021-05, Vol.35 (3), p.237-253

2021

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Effective hyperelastic material parameters from microstructures constructed using the planar Boolean model

Computational mechanics, 2022-06, Vol.69 (6), p.1295-1321

2022

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Preconditioning the coarse problem of BDDC methods ‐ three-level, algebraic multigrid, and vertex-based preconditioners

Electronic transactions on numerical analysis, 2019-01, Vol.51, p.432-450

2019

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Adaptive Coarse Spaces for FETI-DP in Three Dimensions

SIAM journal on scientific computing, 2016-01, Vol.38 (5), p.A2880-A2911

2016

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Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer

SIAM journal on scientific computing, 2023-01, Vol.45 (3), p.S173-S198

2023

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Robust FETI-DP methods for heterogeneous three dimensional elasticity problems

Computer methods in applied mechanics and engineering, 2007-01, Vol.196 (8), p.1400-1414

2007

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Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions

SIAM journal on scientific computing, 2019-01, Vol.41 (5), p.A3045-A3072

2019

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A comparison of adaptive coarse spaces for iterative substructuring in two dimensions

Electronic transactions on numerical analysis, 2016-01, p.75

2016

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Using logistic regression model selection towards interpretable machine learning in mineral prospectivity modeling

Chemie der Erde, 2021-11, Vol.81 (4), p.125826, Article 125826

2021

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Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations

SIAM journal on scientific computing, 2015-01, Vol.37 (6), p.C667-C696

2015

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Nonlinear FETI-DP and BDDC Methods

SIAM journal on scientific computing, 2014-01, Vol.36 (2), p.A737-A765

2014

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A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos

SIAM journal on scientific computing, 2016-01, Vol.38 (6), p.C713-C747

2016

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Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results

SIAM journal on scientific computing, 2012-01, Vol.34 (1), p.A459-A484

2012

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Inexact FETI-DP methods

International journal for numerical methods in engineering, 2007-01, Vol.69 (2), p.284-307

2007

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Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods

SIAM journal on scientific computing, 2022-01, Vol.44 (3), p.A1176-A1204

2022

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Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D

Electronic transactions on numerical analysis, 2018-01, Vol.48, p.156-182

2018

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Composing Two Different Nonlinear FETI–DP Methods

Domain Decomposition Methods in Science and Engineering XXVII, p.479-486

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Parallel Iterative Substructuring in Structural Mechanics

Archives of computational methods in engineering, 2009-12, Vol.16 (4), p.425-463

Rheinbach, Oliver

2009

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Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results

SIAM journal on scientific computing, 2017-01, Vol.39 (6), p.C417-C451

2017

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Monolithic parallel overlapping Schwarz methods in fully-coupled nonlinear chemo-mechanics problems

Computational mechanics, 2023-04, Vol.71 (4), p.765-788

2023

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A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions

Journal of computational methods in applied mathematics, 2023-10, Vol.23 (4), p.953-968

2023

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A Parallel Implementation of Dual‐Primal FETI Methods for Three‐Dimensional Linear Elasticity Using a Transformation of Basis

SIAM journal on scientific computing, 2006-01, Vol.28 (5), p.1886-1906

2006

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Computational homogenization with million-way parallelism using domain decomposition methods

Fully-coupled micro–macro finite element simulations of the Nakajima test using parallel computational homogenization

Globalization of Nonlinear FETI-DP Domain Decomposition Methods Using an SQP Approach

Energy efficiency of nonlinear domain decomposition methods

Effective hyperelastic material parameters from microstructures constructed using the planar Boolean model

Preconditioning the coarse problem of BDDC methods ‐ three-level, algebraic multigrid, and vertex-based preconditioners

Adaptive Coarse Spaces for FETI-DP in Three Dimensions

Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer

Robust FETI-DP methods for heterogeneous three dimensional elasticity problems

Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions

A comparison of adaptive coarse spaces for iterative substructuring in two dimensions

Using logistic regression model selection towards interpretable machine learning in mineral prospectivity modeling

Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations

Nonlinear FETI-DP and BDDC Methods

A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos

Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results

Inexact FETI-DP methods

Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods

Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D

Composing Two Different Nonlinear FETI–DP Methods

Parallel Iterative Substructuring in Structural Mechanics

Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results

Monolithic parallel overlapping Schwarz methods in fully-coupled nonlinear chemo-mechanics problems

A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions

A Parallel Implementation of Dual‐Primal FETI Methods for Three‐Dimensional Linear Elasticity Using a Transformation of Basis

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