Numerical Methods for Power-Law Diffusion Problems

DOI10.1137/16M1067792zbMath1365.65263OpenAlexW2611525126MaRDI QIDQ5738174

Thomas Wick, Ioannis Toulopoulos

Publication date: 31 May 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1067792

zbMATH Keywords

algorithmerror estimatesnonlinear diffusion problemsnumerical resultaugmented Lagrangian techniquesNewton iterative methods\(p\)-Laplace-type problemshigh-order finite element discretizationspower-law diffusion problems

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Convergence estimates of finite elements for a class of quasilinear elliptic problems, Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme, Finite Element Approximation of Level Set Motion by Powers of the Mean Curvature, Multigoal-oriented optimal control problems with nonlinear PDE constraints, \(p\)-Laplace diffusion for distance function estimation, optimal transport approximation, and image enhancement, Two-Side a Posteriori Error Estimates for the Dual-Weighted Residual Method, Multigoal-oriented error estimates for non-linear problems

Uses Software

• deal.ii
• NewtonLib

Cites Work

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