Hannah Potgieter

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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 $p$ -Laplace problems, which are fundamental in nonlinear analysis and have practical applications. Our approach em…

math.NA2025

Numerical approximation of the first $p$ -Laplace eigenpair

Hannah Potgieter, Razvan C. Fetecau, Steven J. Ruuth

We approximate the first Dirichlet eigenpair of the $p$ -Laplace operator for $2 \leq p < \infty$ on both Euclidean and surface domains. We emphasize large $p$ values and discuss ho…

Deep-Learning Solvers and Surrogates for Infinity and p-Laplace Problems

Numerical approximation of the first p-Laplace eigenpair

Numerical approximation of the first $p$ -Laplace eigenpair