Relaxation model for the \(p\)-Laplacian problem with stiffness

DOI10.1016/j.cam.2018.05.022zbMath1464.65117OpenAlexW2803777346MaRDI QIDQ724499

Marc Laforest, Hongjoong Kim, Hee-Sun Choi

Publication date: 26 July 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.05.022

zbMATH Keywords

\(p\)-Laplaciansuperconductivityhyperbolic systemrelaxation schemepower-law modeldegenerate parabolic

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Statistical mechanics of superconductors (82D55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25)

Related Items (1)

A nonlinear relaxation formulation of the \(p\)-curl problem modelling high-temperature superconductors: a modified Yee's scheme

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical schemes for kinetic equations in diffusive regimes
• Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
• Hyperbolic conservation laws with relaxation
• Bean's critical-state model as the \(p\rightarrow\infty\) limit of an evolutionary \(p\)-Laplacian equation
• A degenerate evolution system modeling Bean's critical-state type-II superconductors
• Relaxation schemes for partial differential equations and applications to degenerate diffusion problems
• Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
• Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• High-Order Relaxation Schemes for Nonlinear Degenerate Diffusion Problems
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Numerical Passage from Systems of Conservation Laws to Hamilton--Jacobi Equations, and Relaxation Schemes
• Finite Element Approximation of the Parabolic p-Laplacian
• On a 𝑝-Laplacian type of evolution system and applications to the Bean model in the type-II superconductivity theory
• Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation
• Finite Element Methods for Maxwell's Equations
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions

This page was built for publication: Relaxation model for the \(p\)-Laplacian problem with stiffness