$L^\infty $-Convergence of Linear Finite Element Approximation to Nonlinear Parabolic Problems
From MaRDI portal
Publication:3896464
DOI10.1137/0717056zbMath0449.65077OpenAlexW2085842397MaRDI QIDQ3896464
Publication date: 1980
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0717056
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Linearized Numerical Homogenization Method for Nonlinear Monotone Parabolic Multiscale Problems ⋮ Computational multiscale methods. Abstracts from the workshop held June 22--28, 2014. ⋮ Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems ⋮ A mixed finite element method for solving the nonstationary Stokes equation ⋮ Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear parabolic equations and variational inequalities ⋮ Maximum-norm stability and maximal \(L^p\) regularity of FEMs for parabolic equations with Lipschitz continuous coefficients ⋮ L∞-boundedness of the finite element galerkin operator for parabolic problems ⋮ Sharply localized pointwise and $W_\infty^{-1}$ estimates for finite element methods for quasilinear problems ⋮ Zur L∞-Konvergenz finiter Elemente bei parabolischen Differentialgleichungen ⋮ Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems ⋮ Numerical analysis of quasilinear parabolic equations under low regularity assumptions ⋮ Maximum-norm-stability and error-estimates in Galerkin methods for parabolic equations in one space variable
