Maximum norm resolvent estimates for elliptic finite element operators

DOI10.1023/A:1021934205234zbMath0979.65097OpenAlexW1599396261MaRDI QIDQ5942331

Nikolai Yu. Bakaev

Publication date: 28 August 2001

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021934205234

zbMATH Keywords

finite element\(L_\infty\)-error estimatessecond-order elliptic operatorsimplicial Lagrange elements

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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

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, High-order Time Stepping Schemes for Semilinear Subdiffusion Equations, 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, REGULARITY CONSTANTS OF THE STOKES PROBLEM: APPLICATION TO FINITE-ELEMENT METHODS ON CURVED DOMAINS, Maximum-norm estimates for resolvents of elliptic finite element operators, Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations