A posteriori error estimation of approximate boundary fluxes

DOI10.1002/cnm.1014zbMath1152.65106OpenAlexW2158686446MaRDI QIDQ3515883

Donald J. Estep, Tim Wildey, Simon J. Tavener

Publication date: 29 July 2008

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1014

zbMATH Keywords

numerical examplesa posteriori error estimateadjointgeneralized Green's functionboundary fluxextraction functiongoal-oriented error estimateeffective domain of influence

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

A posteriori analysis of an IMEX entropy-viscosity formulation for hyperbolic conservation laws with dissipation ⋮ Adaptive finite element approximation of coupled flow and transport problems with applications in heat transfer ⋮ Enhanced functional evaluation for the finite element penalty method ⋮ A posteriori error estimation and adaptive mesh refinement for a multiscale operator decomposition approach to fluid-solid heat transfer ⋮ Variational multiscale a posteriori error estimation for systems. Application to linear elasticity ⋮ A unified approach to strict upper and lower bounds of quantities in linear elasticity based on constitutive relation error estimation

Cites Work

• Approximate boundary-flux calculations
• Derivative calculation from finite element solutions
• Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
• An optimal control approach to a posteriori error estimation in finite element methods
• Natural and postprocessed superconvergence in semilinear problems
• A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations
• Some further properties of the superconvergent flux projection
• Generalized Green's Functions and the Effective Domain of Influence
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A posteriori error estimation of approximate boundary fluxes