A posteriori finite element output bounds with adaptive mesh refinement: Application to a heat transfer problem in a three-dimensional rectangular duct.

DOI10.1016/S0045-7825(02)00420-6zbMath1099.76515MaRDI QIDQ1867622

Hae-Won Choi, Marius Paraschivoiu

Publication date: 2 April 2003

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

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items

A faster “Hybrid-Flux” calculation approach to output bounds for three dimensional problems ⋮ 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 ⋮ Adaptive domain decomposition for the bound method: application to the incompressible Navier-Stokes and energy equations in three space dimensions

Cites Work

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• A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
• A unified approach to a posteriori error estimation using element residual methods
• A hierarchical duality approach to bounds for the outputs of partial differential equations
• Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations
• Error Estimate Procedure in the Finite Element Method and Applications
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem
• A posteriori bounds for linear functional outputs of Crouzeix-Raviart finite element discretizations of the incompressible Stokes problem
• Adjoint Recovery of Superconvergent Functionals from PDE Approximations
• Adaptive Galerkin finite element methods for partial differential equations
• A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem
• A posteriori finite element output bounds in three space dimensions using the FETI method