On the finite-element approximation of ∞-harmonic functions

DOI10.1017/S0308210517000294zbMath1397.65291arXiv1511.00471MaRDI QIDQ4582772

Tristan Pryer

Publication date: 24 August 2018

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00471

zbMATH Keywords

viscosity solutionsGalerkin methods\(\infty\)-Laplacian

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with quantum mechanics (35Q40)

Related Items (5)

On the numerical approximation of \(\infty \)-harmonic mappings ⋮ On the numerical approximation of vectorial absolute minimisers in \(L^\infty\) ⋮ The r-Hunter–Saxton equation, smooth and singular solutions and their approximation ⋮ Nonconforming discretizations of convex minimization problems and precise relations to mixed methods ⋮ A Lie symmetry analysis and explicit solutions of the two‐dimensional ∞‐Polylaplacian

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