Alexander Heinlein

Available identifiers

zbMath Open heinlein.alexanderWikidataQ102443916 ScholiaQ102443916MaRDI QIDQ1637984

List of research outcomes

Publication	Date of Publication	Type
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
Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth	2023-11-27	Paper
A multilevel extension of the GDSW overlapping Schwarz preconditioner in two dimensions	2023-11-16	Paper
A Comparison Of Direct Solvers In FROSch Applied To Chemo-Mechanics	2023-10-19	Paper
Improving Pseudo-Time Stepping Convergence for CFD Simulations With Neural Networks	2023-10-10	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
Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer	2023-06-29	Paper
Multilevel domain decomposition-based architectures for physics-informed neural networks	2023-06-08	Paper
An Experimental Study of Two-Level Schwarz Domain Decomposition Preconditioners on GPUs	2023-04-10	Paper
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation	2023-03-12	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
Coarse spaces for nonlinear Schwarz methods on unstructured grids	2022-11-21	Paper
Finite basis physics-informed neural networks as a Schwarz domain decomposition method	2022-11-10	Paper
A fully algebraic and robust two-level Schwarz method based on optimal local approximation spaces	2022-07-12	Paper
Efficient coarse correction for parallel time-stepping in plaque growth simulations	2022-07-05	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
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica	2022-04-21	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 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
On temporal homogenization in the numerical simulation of atherosclerotic plaque growth	2021-06-17	Paper
A frugal FETI-DP and BDDC coarse space for heterogeneous problems	2021-02-17	Paper
Additive and Hybrid Nonlinear Two-Level Schwarz Methods and Energy Minimizing Coarse Spaces for Unstructured Grids	2020-11-09	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
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
Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D	2018-06-12	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
Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction	2016-12-19	Paper
The approximate component mode synthesis special finite element method in two dimensions: parallel implementation and numerical results	2015-06-30	Paper

Research outcomes over time

Doctoral students

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