Reliable and efficient a posteriori error estimates for finite element approximations of the parabolic \(p\)-Laplacian

DOI10.1007/s10092-012-0059-zzbMath1279.65106OpenAlexW2077759106MaRDI QIDQ1956218

Christian Kreuzer

Publication date: 13 June 2013

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-012-0059-z

zbMATH Keywords

nonlinear parabolic equationfinite element methodimplicit Euler method\(p\)-Laplaciana posteriori error estimate

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (6)

A Posteriori Estimates for the Stochastic Total Variation Flow ⋮ Decomposition of Gaussian processes, and factorization of positive definite kernels ⋮ Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems ⋮ A posteriori error estimates for the Richards equation ⋮ Reduced-order multiscale modeling of nonlinear \(p\)-Laplacian flows in high-contrast media ⋮ A Posteriori Error Estimates for Higher Order Space-Time Galerkin Discretizations of Nonlinear Parabolic Problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orlicz spaces and modular spaces
• Finite element error estimates for nonlinear elliptic equations of monotone type
• Finite element error analysis of a quasi-Newtonian flow obeying the Carreau or power law
• A posteriori error estimates for finite element discretizations of the heat equation
• Quasi-norm interpolation error estimates for the piecewise linear finite element approximation of \(p\)-Laplacian problems
• Interpolation operators in Orlicz--Sobolev spaces
• Quasi-Norm Local Error Estimators forp-Laplacian
• Optimality of an adaptive finite element method for the p-Laplacian equation
• On the Finite Element Approximation ofp-Stokes Systems
• Analysis of an adaptive Uzawa finite element method for the nonlinear Stokes problem
• A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Fractional estimates for non-differentiable elliptic systems with general growth
• Linear Convergence of an Adaptive Finite Element Method for the p-Laplacian Equation
• Finite Element Approximation of the p-Laplacian
• Finite Element Approximation of the Parabolic p-Laplacian
• 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
• An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems
• Optimal Convergence for the Implicit Space‐Time Discretization of Parabolic Systems with p‐Structure
• Robust A Posteriori Error Estimates for Nonstationary Convection-Diffusion Equations
• A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian

This page was built for publication: Reliable and efficient a posteriori error estimates for finite element approximations of the parabolic \(p\)-Laplacian