Dr. A. (Alexander) Heinlein
Dr. A. (Alexander) Heinlein
Profile
Expertise
Alexander Heinlein is assistant professor in the Numerical Analysis group of the Delft Institute of Applied Mathematics (DIAM), Faculty of Electrical Engineering, Mathematics & Computer Science (EEMCS), at the Delft University of Technology (TU Delft).
His main research areas are numerical methods for partial differential equations and scientific computing, in particular, solvers and discretizations based on domain decomposition and multiscale approaches. He is interested in high-performance computing (HPC) and solving challenging problems involving, e.g., complex geometries, highly heterogenous coefficient functions, or the coupling of multiple physics. More recently, Alexander also started focusing on the combination of scientific computing and machine learning, a new research area also known as scientific machine learning (SciML). Generally, his work includes the development of new methods and their theoretical foundation as well as their implementation on current computer architectures (CPUs, GPUs) and application to real world problems.
Publications
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2024
A Short Note on Solving Partial Differential Equations Using Convolutional Neural Networks
Viktor Grimm / Alexander Heinlein / Axel Klawonn
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2024
A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods
Daniel Balzani / Alexander Heinlein / Axel Klawonn / Jascha Knepper / Sharan Nurani Ramesh / Oliver Rheinbach / Lea Saßmannshausen / Klemens Uhlmann
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2024
Finite Basis Physics-Informed Neural Networks as a Schwarz Domain Decomposition Method
Victorita Dolean / Alexander Heinlein / Siddhartha Mishra / Ben Moseley
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2024
Multilevel domain decomposition-based architectures for physics-informed neural networks
Victorita Dolean / Alexander Heinlein / Siddhartha Mishra / Ben Moseley
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2023
A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions
Alexander Heinlein / Oliver Rheinbach / Friederike Röver
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Ancillary activities
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2023-04-01 - 2025-04-01
Consultancy / research and other