A posteriori error estimates for a fully discrete approximation of Sobolev equations
DOI10.5802/cml.53zbMath1490.65174OpenAlexW2972422214MaRDI QIDQ2074027
Fatiha Bekkouche, Serge Nicaise
Publication date: 4 February 2022
Published in: Confluentes Mathematici (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/cml.53
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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An approximation theorem for functionals, with applications in continuum mechanics
- \(L^2\)-error estimates of the extrapolated Crank-Nicolson discontinuous Galerkin approximations for nonlinear Sobolev equations
- Theory of fluid flows through natural rocks
- Adaptive finite elements for a linear parabolic problem
- A cooling process according to two-temperature theory of heat conduction
- Fully discrete approximation of general nonlinear Sobolev equations
- Space-time adaptive algorithm for the mixed parabolic problem
- Certain non-steady flows of second-order fluids
- On a theory of heat conduction involving two temperature
- A posteriori error estimates for finite element discretizations of the heat equation
- L2-ERROR ANALYSIS OF FULLY DISCRETE DISCONTINUOUS GALERKIN APPROXIMATIONS FOR NONLINEAR SOBOLEV EQUATIONS
- An a Posteriori Error Estimate and Adaptive Timestep Control for a Backward Euler Discretization of a Parabolic Problem
- Superconvergence of a Finite Element Approximation to the Solution of a Sobolev Equation in a Single Space Variable
- The sobolev equation, II
- Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
- An Anisotropic Error Indicator Based on Zienkiewicz--Zhu Error Estimator: Application to Elliptic and Parabolic Problems
- Adaptive Lagrange–Galerkin methods for unsteady convection-diffusion problems
- Infiltration in porous media with dynamic capillary pressure: travelling waves
- A posteriori analysis of the finite element discretization of some parabolic equations
- A posteriori error estimates with the finite element method of lines for a Sobolev equation
- Error estimates for some quasi-interpolation operators
- A posteriorierror analysis of the fully discretized time-dependent Stokes equations
- A posteriorierror estimates for a nonconforming finite element discretization of the heat equation
This page was built for publication: A posteriori error estimates for a fully discrete approximation of Sobolev equations