Stability, analyticity, and almost best approximation in maximum norm for parabolic finite element equations

DOI<1349::AID-CPA5>3.0.CO;2-1 10.1002/(SICI)1097-0312(199811/12)51:11/12<1349::AID-CPA5>3.0.CO;2-1zbMath0932.65103OpenAlexW2007962250MaRDI QIDQ4266421

Vidar Thomée, Alfred H. Schatz, Lars B. Wahlbin

Publication date: 15 March 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0312(199811/12)51:11/12<1349::aid-cpa5>3.0.co;2-1

zbMATH Keywords

stability convergence finite element initial boundary value problem almost best approximation second-order parabolic differential equation semidiscrete solutions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15)

Related Items (23)

Monotone difference schemes for equations with mixed derivatives ⋮ Decoupled overlapping grids for the numerical modeling of oil wells ⋮ On Stokes--Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes--Darcy Model ⋮ Maximal $L^p$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra ⋮ Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations ⋮ Applications of discrete maximal $L_p$ regularity for finite element operators ⋮ Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor ⋮ Maximum-norm stability and maximal $L^p$ regularity of FEMs for parabolic equations with Lipschitz continuous coefficients ⋮ Discrete maximal regularity and the finite element method for parabolic equations ⋮ A posteriori error estimates by recovered gradients in parabolic finite element equations ⋮ Sharp estimates for finite element approximations to parabolic problems with Neumann boundary data of low regularity ⋮ From finite differences to finite elements. A short history of numerical analysis of partial differential equations ⋮ Sharply local pointwise a posteriori error estimates for parabolic problems ⋮ Uniform error estimates in the finite element method for a singularly perturbed reaction-diffusion problem ⋮ Maximum-norm estimates for resolvents of elliptic finite element operators ⋮ Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra ⋮ Stability, analyticity, and maximal regularity for parabolic finite element problems on smooth domains ⋮ Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems ⋮ Pointwise error estimates of linear finite element method for Neumann boundary value problems in a smooth domain ⋮ Optimal error estimates for linear parabolic problems under minimal regularity assumptions ⋮ Regularity of the Diffusion-Dispersion Tensor and Error Analysis of Galerkin FEMs for a Porous Medium Flow ⋮ Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations ⋮ Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems

This page was built for publication: Stability, analyticity, and almost best approximation in maximum norm for parabolic finite element equations