Estimates of the deviation from exact solutions of boundary value problems in measures stronger than the energy norm

DOI10.1134/S0965542520050140zbMath1450.35017OpenAlexW3039312959MaRDI QIDQ2207552

Sergey I. Repin

Publication date: 23 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520050140

zbMATH Keywords

a posteriori estimatesestimates of deviation from exact solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Theoretical approximation in context of PDEs (35A35) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Accuracy verification methods. Theory and algorithms
• Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains
• Estimates of the distance to the exact solution of parabolic problems based on local Poincaré type inequalities
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• A posteriori error estimation for nonlinear variational problems by duality theory
• A unified approach to a posteriori error estimation using element residual methods
• Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains
• Functional a posteriori estimates for the reaction-diffusion problem
• Estimates of deviations from exact solutions of initial-boundary value problem for the heat equation
• Guaranteed and robust error bounds for nonconforming approximations of elliptic problems
• A posteriori error estimate for the mixed finite element method
• Two‐Sided A Posteriori Error Estimates for Mixed Formulations of Elliptic Problems
• Advanced forms of functional a posteriori error estimates for elliptic problems
• A‐posteriori error estimates for the finite element method
• Error Estimates for Adaptive Finite Element Computations
• Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods
• An optimal Poincaré inequality in $L^1$ for convex domains
• A posteriori error estimation for variational problems with uniformly convex functionals
• Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods
• The generalized finite element method

This page was built for publication: Estimates of the deviation from exact solutions of boundary value problems in measures stronger than the energy norm