Publication:4240609

{{DISPLAYTITLE:A posteriori error estimates for nonlinear problems:Lr, (0,T;W1,ρ (Ω))-error estimates for finite element discretizations of parabolic equations

DOI<487::AID-NUM4>3.0.CO;2-G 10.1002/(SICI)1098-2426(199807)14:4<487::AID-NUM4>3.0.CO;2-GzbMath0974.65087OpenAlexW2006443697MaRDI QIDQ4240609

Rüdiger Verfürth

Publication date: 16 December 2001

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199807)14:4<487::aid-num4>3.0.co;2-g

zbMATH Keywords

Navier-Stokes equationsfinite element methoderror boundsquasilinear parabolic equations\(\theta\)-schemeCrank- Nicolson schemeEuler methods

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

Related Items

Robusta posteriorierror estimates for finite element discretizations of the heat equation with discontinuous coefficients, Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows, An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems, A posteriorierror analysis of the fully discretized time-dependent Stokes equations, A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media, Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems, Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems, A posteriori error estimates and adaptive finite elements for a nonlinear parabolic problem related to solidification, A posteriori error estimates for the Richards equation, On adaptive Eulerian-Lagrangian method for linear convection-diffusion problems, A posteriori error estimates of finite element method for the time-dependent Navier-Stokes equations, \textit{A posteriori} error analysis of the Crank-Nicolson finite element method for parabolic integro-differential equations, Improved error estimation of dynamic finite element methods for second-order parabolic equations, A posteriori analysis of the finite element discretization of some parabolic equations, A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations, A posteriori estimates distinguishing the error components and adaptive stopping criteria for numerical approximations of parabolic variational inequalities, A review of some a posteriori error estimates for adaptive finite element methods, A posteriori error estimates for non-stationary non-linear convection-diffusion equations, A posteriori error estimates of finite element method for the time-dependent Oseen equations, A Posteriori Error Estimation for the p-Curl Problem, A POSTERIORI ERROR ANALYSIS OF THE METHOD OF CHARACTERISTICS, A Posteriori Error Estimates for Higher Order Space-Time Galerkin Discretizations of Nonlinear Parabolic Problems, Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem, Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems, A Posteriori Error Estimates of Semidiscrete Mixed Finite Element Methods for Parabolic Optimal Control Problems, An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow

Cites Work

• Unnamed Item
• A posteriori error estimators for the Stokes equations
• A posteriori error estimation and adaptive mesh-refinement techniques
• Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation
• Discrete facility location with nonlinear facility costs
• A Posteriori Error Estimates for Nonlinear Problems. Finite Element Discretizations of Elliptic Equations