Nonconforming FEMs for the $p$-Laplace Problem

DOI10.4208/aamm.OA-2018-0117zbMath1488.65641OpenAlexW3117585672MaRDI QIDQ5156623

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Publication date: 11 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2018-0117

zbMATH Keywords

adaptive finite element methods\(p\)-Laplace problemnonconformingdual energy

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Error bounds for boundary value problems involving PDEs (65N15) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (5)

Explicit and efficient error estimation for convex minimization problems ⋮ The Discrete Raviart-Thomas Mixed Finite Element Method for the $P$-Laplace Equation ⋮ Unnamed Item ⋮ Nonconforming discretizations of convex minimization problems and precise relations to mixed methods ⋮ The adaptive finite element method for the \(p\)-Laplace problem

Uses Software

• mfem

Cites Work

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• Axioms of adaptivity
• Minimizing Neumann fundamental tones of triangles: an optimal Poincaré inequality
• A posteriori error estimation for the dual mixed finite element method for the \(p\)-Laplacian in a polygonal domain
• Adaptive finite element methods for microstructures? Numerical experiments for a 2-well benchmark
• Guaranteed lower eigenvalue bounds for the biharmonic equation
• Error estimates for a mixed finite volume method for the \(p\)-Laplacian problem
• Optimality of an adaptive finite element method for the p-Laplacian equation
• A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm
• Convergence of an adaptive FEM for a class of degenerate convex minimization problems
• Fractional estimates for non-differentiable elliptic systems with general growth
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• An Inexpensive Method for the Evaluation of the Solution of the Lowest Order Raviart–Thomas Mixed Method
• A Posteriori Error Estimates for Nonlinear Problems. Finite Element Discretizations of Elliptic Equations
• A Posteriori Error Estimators for Nonconforming Approximation of Some Quasi-Newtonian Flows
• A Posteriori Finite Element Error Control for the P-Laplace Problem
• On Quasi-Norm Interpolation Error Estimation And A Posteriori Error Estimates for p-Laplacian
• On the Implementation of Mixed Methods as Nonconforming Methods for Second- Order Elliptic Problems
• Finite Element Approximation of Some Degenerate Monotone Quasilinear Elliptic Systems
• Explicit Error Estimates for Courant, Crouzeix-Raviart and Raviart-Thomas Finite Element Methods
• Nonconforming FEMs for an Optimal Design Problem
• The Mathematical Theory of Finite Element Methods
• Convex Analysis
• Three Matlab Implementations of the Lowest-order Raviart-Thomas Mfem with a Posteriori Error Control
• Quasi-norm a priori and a posteriori error estimates for the nonconforming approximation of \(p\)-Laplacian

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