Stability and analyticity in maximum-norm for simplical Lagrange finite element semidiscretizations of parabolic equations with Dirichlet boundary conditions
From MaRDI portal
Publication:1592353
DOI10.1007/s002110000184zbMath0973.65079OpenAlexW1984477528MaRDI QIDQ1592353
Publication date: 16 January 2001
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002110000184
Heat equation (35K05) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items
Maximum-norm stability of the finite element Ritz projection under mixed boundary conditions ⋮ Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh ⋮ Numerical analysis of a nonlinear time relaxation model of fluids ⋮ Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems ⋮ Pointwise error estimates for linear finite element approximation to elliptic Dirichlet problems in smooth domains ⋮ 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 ⋮ Weak discrete maximum principle of finite element methods in convex polyhedra ⋮ Pointwise error estimates for 𝐶⁰ interior penalty approximation of biharmonic problems ⋮ Applications of discrete maximal \(L_p\) regularity for finite element operators ⋮ 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 ⋮ Sharp estimates for finite element approximations to parabolic problems with Neumann boundary data of low regularity ⋮ 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 ⋮ Finite Element Pointwise Results on Convex Polyhedral Domains ⋮ 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
