Lukas Exl

According to our database, Lukas Exl authored at least 20 papers between 2011 and 2025.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2025

Physics-informed low-rank neural operators with application to parametric elliptic PDEs.

Sebastian Schaffer, Lukas Exl

CoRR, September, 2025

Spectrally accurate and efficient convolution with the 3D free-space Laplace Green's function via the super-potential.

Lukas Exl, Sebastian Schaffer

CoRR, June, 2025

Higher order stray field computation on tensor product domains.

Lukas Exl, Sebastian Schaffer

CoRR, May, 2025

Physics aware machine learning for micromagnetic energy minimization: Recent algorithmic developments.

Sebastian Schaffer, Thomas Schrefl, Harald Oezelt, Norbert J. Mauser, Lukas Exl

Comput. Phys. Commun., 2025

2024

Constraint free physics-informed machine learning for micromagnetic energy minimization.

Sebastian Schaffer, Lukas Exl

Comput. Phys. Commun., 2024

2022

Conditional physics informed neural networks.

Alexander Kovacs, Lukas Exl, Alexander Kornell, Johann Fischbacher, Markus Hovorka, Markus Gusenbauer, Leoni Breth, Harald Oezelt, Masao Yano, Noritsugu Sakuma, Akihito Kinoshita, Tetsuya Shoji, Akira Kato, Thomas Schrefl

Commun. Nonlinear Sci. Numer. Simul., 2022

2021

Prediction of magnetization dynamics in a reduced dimensional feature space setting utilizing a low-rank kernel method.

Lukas Exl, Norbert J. Mauser, Sebastian Schaffer, Thomas Schrefl, Dieter Suess

J. Comput. Phys., 2021

2020

Computational micromagnetics with Commics.

Carl-Martin Pfeiler, Michele Ruggeri, Bernhard Stiftner, Lukas Exl, Matthias Hochsteger, Gino Hrkac, Joachim Schöberl, Norbert J. Mauser, Dirk Praetorius

Comput. Phys. Commun., 2020

Learning time-stepping by nonlinear dimensionality reduction to predict magnetization dynamics.

Lukas Exl, Norbert J. Mauser, Thomas Schrefl, Dieter Suess

Commun. Nonlinear Sci. Numer. Simul., 2020

2019

Optimal control of the self-bound dipolar droplet formation process.

Jan-Frederik Mennemann, Tim Langen, Lukas Exl, Norbert J. Mauser

Comput. Phys. Commun., 2019

Preconditioned nonlinear conjugate gradient method for micromagnetic energy minimization.

Lukas Exl, Johann Fischbacher, Alexander Kovacs, Harald Oezelt, Markus Gusenbauer, Thomas Schrefl

Comput. Phys. Commun., 2019

2017

The extrapolated explicit midpoint scheme for variable order and step size controlled integration of the Landau-Lifschitz-Gilbert equation.

Lukas Exl, Norbert J. Mauser, Thomas Schrefl, Dieter Suess

J. Comput. Phys., 2017

A GPU accelerated and error-controlled solver for the unbounded Poisson equation in three dimensions.

Lukas Exl

Comput. Phys. Commun., 2017

2016

Accurate and efficient computation of nonlocal potentials based on Gaussian-sum approximation.

Lukas Exl, Norbert J. Mauser, Yong Zhang

J. Comput. Phys., 2016

2014

Non-uniform FFT for the finite element computation of the micromagnetic scalar potential.

Lukas Exl, Thomas Schrefl

J. Comput. Phys., 2014

2013

Guided self-assembly of magnetic beads for biomedical applications

Markus Gusenbauer, Ha Nguyen, Franz Reichel, Lukas Exl, Simon Bance, Johann Fischbacher, Harald Özelt, Alexander Kovacs, Martin Brandl, Thomas Schrefl

CoRR, 2013

Simulation of magnetic active polymers for versatile microfluidic devices

Markus Gusenbauer, Harald Özelt, Johann Fischbacher, Franz Reichel, Lukas Exl, Simon Bance, Nadezhda Kataeva, Claudia Binder, Hubert Brückl, Thomas Schrefl

CoRR, 2013

2012

Fast stray field computation on tensor grids.

Lukas Exl, Winfried Auzinger, Simon Bance, Markus Gusenbauer, Franz Reichel, Thomas Schrefl

J. Comput. Phys., 2012

2011

A tunable cancer cell filter using magnetic beads: cellular and fluid dynamic simulations

Markus Gusenbauer, Ivan Cimrák, Simon Bance, Lukas Exl, Franz Reichel, Harald Oezelt, Thomas Schrefl

CoRR, 2011

Self-organizing magnetic beads for biomedical applications

Markus Gusenbauer, Alexander Kovacs, Franz Reichel, Lukas Exl, Simon Bance, Harald Oezelt, Thomas Schrefl

CoRR, 2011