110 citations · 168 across the 12 of their papers we have counts for
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math.NA2025
Physics-informed low-rank neural operators with application to parametric elliptic PDEs
Sebastian Schaffer, Lukas Exl
We present the Physics-Informed Low-Rank Neural Operator (PILNO), a neural operator framework for efficiently approximating solution operators of partial differential equations (PD…
physics.comp-ph2025
Near-field-free super-potential FFT method for the three-dimensional free-space Poisson equation
Lukas Exl, Sebastian Schaffer
We present a spectrally accurate, efficient FFT-based method for the three-dimensional free-space Poisson equation with smooth, compactly supported sources. The method adopts a sup…
physics.comp-ph2025
Higher order stray field computation on tensor product domains
Lukas Exl, Sebastian Schaffer
We present an extension of the tensor grid method for stray field computation on rectangular domains that incorporates higher-order basis functions. Both the magnetization and the…