Onp-Harmonic Map Heat Flows for $1\leqp<\infty$ and Their Finite Element Approximations

DOI10.1137/070680825zbMath1182.35154arXiv0712.2528OpenAlexW1615786081WikidataQ117202728 ScholiaQ117202728MaRDI QIDQ5320710

Andreas Prohl, John W. Barrett, Xiaobing Feng

Publication date: 22 July 2009

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2528

zbMATH Keywords

energy methodpenalizationgradient flowcolor image denoisingregularized problem

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Harmonic maps, etc. (58E20) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items

Divergence-\(L^{q}\) and divergence-measure tensor fields and gradient flows for linear growth functionals of maps into the unit sphere, Existence of solutions to a phase-field model of 3D grain boundary motion governed by a regularized 1-harmonic type flow, A new numerical scheme for discrete constrained total variation flows and its convergence, A Newton-penalty method for a simplified liquid crystal model, High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow, Very singular diffusion equations: second and fourth order problems, On a stochastic singular diffusion equation in \(\mathbb{R}^d\), A counterexample to finite time stopping property for one-harmonic map flow