| Publication | Date of Publication | Type |
|---|
| Learning adaptive coarse basis functions of FETI-DP | 2024-02-21 | Paper |
| Machine learning and domain decomposition methods -- a survey | 2023-12-21 | Paper |
| Learning Adaptive Constraints in Nonlinear FETI-DP Methods | 2023-12-21 | Paper |
| Combining machine learning and domain decomposition methods for the solution of partial differential equations—A review | 2023-12-15 | Paper |
| Comparison of arterial wall models in fluid-structure interaction simulations | 2023-12-02 | Paper |
| Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks | 2023-08-04 | Paper |
| A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods | 2023-07-06 | Paper |
| Adaptive Nonlinear Domain Decomposition Methods with an Application to the $p$-Laplacian | 2023-06-29 | Paper |
| Adaptive and frugal FETI-DP for virtual elements | 2023-01-23 | Paper |
| Local spectra of adaptive domain decomposition methods | 2022-11-21 | Paper |
| FROSch: a fast and robust overlapping Schwarz domain decomposition preconditioner based on Xpetra in Trilinos | 2022-11-21 | Paper |
| A three-level extension of the GDSW overlapping Schwarz preconditioner in three dimensions | 2022-11-21 | Paper |
| Machine learning in adaptive FETI-DP -- a comparison of smart and random training data | 2022-11-21 | Paper |
| A closer look at local eigenvalue solvers for adaptive FETI-DP and BDDC | 2022-11-21 | Paper |
| Surrogate convolutional neural network models for steady computational fluid dynamics simulations | 2022-06-08 | Paper |
| Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods | 2022-06-03 | Paper |
| Estimating the time-dependent contact rate of SIR and SEIR models in mathematical epidemiology using physics-informed neural networks | 2022-01-28 | Paper |
| Fully-coupled micro-macro finite element simulations of the Nakajima test using parallel computational homogenization | 2021-11-24 | Paper |
| Computational homogenization with million-way parallelism using domain decomposition methods | 2021-11-18 | Paper |
| Fully Algebraic Two-Level Overlapping Schwarz Preconditioners for Elasticity Problems | 2021-09-27 | Paper |
| Stationary Flow Predictions Using Convolutional Neural Networks | 2021-09-27 | Paper |
| Machine Learning in Adaptive FETI-DP: Reducing the Effort in Sampling | 2021-09-27 | Paper |
| Combining Machine Learning and Adaptive Coarse Spaces---A Hybrid Approach for Robust FETI-DP Methods in Three Dimensions | 2021-09-22 | Paper |
| A frugal FETI-DP and BDDC coarse space for heterogeneous problems | 2021-02-17 | Paper |
| An Adaptive GDSW Coarse Space for Two-Level Overlapping Schwarz Methods in Two Dimensions | 2020-06-24 | Paper |
| Improving the Parallel Performance of Overlapping Schwarz Methods by Using a Smaller Energy Minimizing Coarse Space | 2020-06-24 | Paper |
| Preconditioning of Iterative Eigenvalue Problem Solvers in Adaptive FETI-DP | 2020-06-24 | Paper |
| Using Algebraic Multigrid in Inexact BDDC Domain Decomposition Methods | 2020-06-24 | Paper |
| On the Accuracy of the Inner Newton Iteration in Nonlinear Domain Decomposition | 2020-06-24 | Paper |
| Coarse spaces for FETI-DP and BDDC methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach | 2020-03-03 | Paper |
| Preconditioning the coarse problem of BDDC methods ‐ three-level, algebraic multigrid, and vertex-based preconditioners | 2020-03-03 | Paper |
| A three-level extension of the GDSW overlapping Schwarz preconditioner in two dimensions | 2020-01-29 | Paper |
| Machine Learning in Adaptive Domain Decomposition Methods---Predicting the Geometric Location of Constraints | 2020-01-10 | Paper |
| Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions | 2019-10-29 | Paper |
| Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems | 2019-08-28 | Paper |
| Nonlinear BDDC methods with approximate solvers | 2019-02-05 | Paper |
| On the Visualization of Patient Specific Arterial Geometries Using the Virtual Histology | 2018-08-23 | Paper |
| FETI‐DP for Anisotropic Problems | 2018-08-23 | Paper |
| A hybrid approach to 3‐level FETI | 2018-08-23 | Paper |
| FETI‐DP Methods for P‐Elasticity | 2018-08-23 | Paper |
| Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D | 2018-06-12 | Paper |
| Adaptive FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problems | 2018-04-23 | Paper |
| On an Adaptive Coarse Space and on Nonlinear Domain Decomposition | 2018-02-05 | Paper |
| Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results | 2017-11-17 | Paper |
| Adaptive Coarse Spaces for FETI-DP in Three Dimensions with Applications to Heterogeneous Diffusion Problems | 2017-07-17 | Paper |
| Newton-Krylov-FETI-DP with Adaptive Coarse Spaces | 2017-07-17 | Paper |
| New Nonlinear FETI-DP Methods Based on a Partial Nonlinear Elimination of Variables | 2017-07-17 | Paper |
| Parallel Overlapping Schwarz with an Energy-Minimizing Coarse Space | 2017-07-17 | Paper |
| A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos | 2017-01-04 | Paper |
| A Highly Scalable Implementation of Inexact Nonlinear FETI-DP Without Sparse Direct Solvers | 2016-12-19 | Paper |
| Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction | 2016-12-19 | Paper |
| Adaptive Coarse Spaces for FETI-DP in Three Dimensions | 2016-09-23 | Paper |
| A Nonlinear FETI-DP Method with an Inexact Coarse Problem | 2016-06-23 | Paper |
| A Newton-Krylov-FETI-DP Method with an Adaptive Coarse Space Applied to Elastoplasticity | 2016-06-23 | Paper |
| Adaptive Coarse Spaces for BDDC with a Transformation of Basis | 2016-06-23 | Paper |
| A comparison of adaptive coarse spaces for iterative substructuring in two dimensions | 2016-05-27 | Paper |
| Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations | 2015-12-18 | Paper |
| FETI-DP Methods with an Adaptive Coarse Space | 2015-09-16 | Paper |
| A Deflation Based Coarse Space in Dual-Primal FETI Methods for Almost Incompressible Elasticity | 2015-07-28 | Paper |
| The approximate component mode synthesis special finite element method in two dimensions: parallel implementation and numerical results | 2015-06-30 | Paper |
| Nonlinear FETI-DP and BDDC Methods | 2014-08-13 | Paper |
| Error estimates for a two-dimensional special finite element method based on component mode synthesis | 2014-08-04 | Paper |
| On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies | 2013-08-30 | Paper |
| FETI-DP domain decomposition methods for elasticity with structural changes:P-elasticity | 2013-07-04 | Paper |
| Analysis of FETI-DP and BDDC for Linear Elasticity in 3D with Almost Incompressible Components and Varying Coefficients Inside Subdomains | 2013-01-24 | Paper |
| Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems | 2012-11-15 | Paper |
| Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results | 2012-05-07 | Paper |
| Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains | 2011-12-19 | Paper |
| Solving geometrically exact micromorphic elasticity with a staggered algorithm | 2010-11-18 | Paper |
| Inexact FETI-DP methods | 2010-09-10 | Paper |
| Highly scalable parallel domain decomposition methods with an application to biomechanics | 2010-01-25 | Paper |
| Robust FETI-DP methods for heterogeneous three dimensional elasticity problems | 2009-11-06 | Paper |
| An Analysis of a FETI–DP Algorithm on Irregular Subdomains in the Plane | 2009-11-06 | Paper |
| Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions | 2009-08-20 | Paper |
| FETI Domain Decomposition Methods for Second Order Elliptic Partial Differential Equations | 2009-02-24 | Paper |
| A Family of Energy Minimizing Coarse Spaces for Overlapping Schwarz Preconditioners | 2008-06-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3500062 | 2008-06-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3500065 | 2008-06-03 | Paper |
| A Parallel Implementation of Dual‐Primal FETI Methods for Three‐Dimensional Linear Elasticity Using a Transformation of Basis | 2007-09-24 | Paper |
| Dual-primal FETI methods for linear elasticity | 2007-02-07 | Paper |
| A preconditioner for the equations of linear elasticity discretized by the PEERS element | 2006-12-06 | Paper |
| Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions | 2005-03-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4655162 | 2005-03-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4426243 | 2003-09-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4781656 | 2003-02-04 | Paper |
| A FETI Domain Decomposition Method for Edge Element Approximations in Two Dimensions with Discontinuous Coefficients | 2002-07-08 | Paper |
| Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients | 2002-07-08 | Paper |
| A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems | 2001-12-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2722447 | 2001-07-12 | Paper |
| FETI and Neumann-Neumann iterative substructuring methods: Connections and new results | 2001-04-26 | Paper |
| A Domain Decomposition Method with Lagrange Multipliers and Inexact Solvers for Linear Elasticity | 2001-03-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4495092 | 2001-01-15 | Paper |
| Overlapping Schwarz methods for mixed linear elasticity and Stokes problems | 2000-11-26 | Paper |
| Block triangular preconditioners for nonsymmetric saddle point problems: Field-of-values analysis | 1999-05-31 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4217197 | 1999-02-14 | Paper |
| Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term | 1998-05-12 | Paper |
| An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term | 1998-05-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4877251 | 1996-05-09 | Paper |
