Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems (Q5351675)

scientific article; zbMATH DE number 6766810

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English	Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems	scientific article; zbMATH DE number 6766810

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instance of

scholarly article

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title

Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems (English)

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SIAM Journal on Numerical Analysis

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publication date

30 August 2017

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full work available at URL

https://arxiv.org/abs/1606.06071

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zbMATH Keywords

finite elements

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discontinuous Galerkin

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error estimates

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second-order parabolic problems

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MaRDI profile type

MaRDI publication profile

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cites work

Maximum-norm estimates for resolvents of elliptic finite element operators

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Q4300595

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Q4855555

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Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations

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Q4162607

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Best approximation property in the $W^1_{\infty }$ norm for finite element methods on graded meshes

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The stability in L$^q$ of the L$^2$-projection into finite element function spaces

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Symmetric Error Estimates for Moving Mesh Galerkin Methods for Advection-Diffusion Equations

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AN ADAPTIVE FINITE ELEMENT METHOD WITH EFFICIENT MAXIMUM NORM ERROR CONTROL FOR ELLIPTIC PROBLEMS

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Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $

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Potential Space Estimates for Green Potentials in Convex Domains

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Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods

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Finite Element Pointwise Results on Convex Polyhedral Domains

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Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems

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Discrete maximal parabolic regularity for Galerkin finite element methods

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A posteriori error estimates by recovered gradients in parabolic finite element equations

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Maximal $L^p$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra

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A Priori Error Estimates for a Finite Element Discretization of Parabolic Optimization Problems with Pointwise Constraints in Time on Mean Values of the Gradient of the State

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A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time

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Über die punktweise Konvergenz finiter Elemente

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Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)

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Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations

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A Weak Discrete Maximum Principle and Stability of the Finite Element Method in L ∞ on Plane Polygonal Domains. I

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Interior Maximum Norm Estimates for Finite Element Methods

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On the Quasi-Optimality in $L_\infty$ of the $\overset{\circ}{H}^1$-Projection into Finite Element Spaces*

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Interior Maximum-Norm Estimates for Finite Element Methods, Part II

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Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions

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Resolvent estimates in $L^ p$ for elliptic systems in Lipschitz domains

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The $L^2$-Projection and Quasi-Optimality of Galerkin Methods for Parabolic Equations

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Galerkin Finite Element Methods for Parabolic Problems

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Stability and analyticity in maximum-norm for simplical Lagrange finite element semidiscretizations of parabolic equations with Dirichlet boundary conditions

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Superconvergence of the Gradient in Piecewise Linear Finite-Element Approximation to a Parabolic Problem

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A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

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Identifiers

zbMATH Open document ID

1372.65258

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DOI

10.1137/16M1080252

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5351675