3 papers
math.NA2026
Deep-Learning Solvers and Surrogates for Infinity and p-Laplace Problems
Tak Shing Au Yeung, Ka Chun Cheung, Hannah Potgieter +2
We investigate the use of neural network solvers for infinity and -Laplace problems, which are fundamental in nonlinear analysis and have practical applications. Our approach em…
math.NA2025
Numerical approximation of the first -Laplace eigenpair
Hannah Potgieter, Razvan C. Fetecau, Steven J. Ruuth
We approximate the first Dirichlet eigenpair of the -Laplace operator for on both Euclidean and surface domains. We emphasize large values and discuss ho…
cs.GR2025
Geodesic distance approximation using a surface finite element method for the -Laplacian
Hannah Potgieter, Razvan C. Fetecau, Steven J. Ruuth
We use the -Laplacian with large -values in order to approximate geodesic distances to features on surfaces. This differs from Fayolle and Belyaev's (2018) [1] computational…