A posteriori finite element output bounds in three space dimensions using the FETI method

DOI10.1016/S0045-7825(01)00253-5zbMath0996.76054OpenAlexW2069693834MaRDI QIDQ5955329

Marius Paraschivoiu

Publication date: 4 November 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(01)00253-5

zbMATH Keywords

Lagrange multipliersconvection-diffusion equationa posteriori error estimationdomain decomposition finite element techniquefinite element tearing and interconnecting procedureiterative interface solution scheme

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) Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Related Items (7)

A faster “Hybrid-Flux” calculation approach to output bounds for three dimensional problems ⋮ A posteriori finite element bounds to linear functional outputs of the three‐dimensional Navier–Stokes equations ⋮ Adaptive computations of a posteriori finite element output bounds: a comparison of the hybrid-flux approach and the flux-free approach ⋮ Strict bounding of quantities of interest in computations based on domain decomposition ⋮ Bounds on outputs of the exact weak solution of the three-dimensional Stokes problem ⋮ Adaptive domain decomposition for the bound method: application to the incompressible Navier-Stokes and energy equations in three space dimensions ⋮ A posteriori finite element output bounds with adaptive mesh refinement: Application to a heat transfer problem in a three-dimensional rectangular duct.

Uses Software

• LASPack

Cites Work

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