Positivity preserving gradient approximation with linear finite elements

DOI10.1515/cmam-2018-0017zbMath1420.65127OpenAlexW2810540065WikidataQ129588696 ScholiaQ129588696MaRDI QIDQ2324365

Andreas Veeser

Publication date: 11 September 2019

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2018-0017

zbMATH Keywords

positivitya priori error boundsobstaclesapproximation of gradientsCourant elementsbest error decompositions

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Interpolation in approximation theory (41A05) Approximation with constraints (41A29) Approximation by positive operators (41A36)

Related Items (1)

Presentation of the special issue on recent advances in PDE: theory, computations and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Approximating gradients with continuous piecewise polynomial functions
• Error estimates for the finite element solution of variational inequalities. Part I. primal theory
• Elliptic partial differential equations of second order
• Fast computation in adaptive tree approximation
• Residual type a posteriori error estimates for elliptic obstacle problems
• Positivity preserving finite element approximation
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Explicit Upper Bounds for Dual Norms of Residuals
• Error Estimates for the Approximation of a Class of Variational Inequalities
• A Posteriori Error Estimators for Regularized Total Variation of Characteristic Functions
• The Mathematical Theory of Finite Element Methods
• Fully Localized A posteriori Error Estimators and Barrier Sets for Contact Problems

This page was built for publication: Positivity preserving gradient approximation with linear finite elements