JOURNAL ARTICLE

ADAPTIVE FINITE ELEMENT METHOD FOR CONJUGATE HEATTRANSFER

Dominique PelletierL. IgnatF. Ilinca

Year: 1997 Journal:   Numerical Heat Transfer Part A Applications Vol: 32 (3)Pages: 267-287   Publisher: Taylor & Francis

Abstract

Abstract This article presents an adaptive finite element method to solve conjugate heat transfer problems. Solutions are obtained in primitive variables using a high-order finite element approximation on unstructured grids. Two general estimators are developed for analyzing finite element solutions to conjugate heat transfer problems. The adaptive methodology is demonstrated on problems for which experimental measurements are available. The methodology is then applied to heat transfer predictions for two cases of practical interest. Notes Address correspondence to Professor Dominique Pelletier, Mechanical Engineering Department, P.O. Box 6079, Succ. Centre-Ville, Montreal, Quebec H3C 3A7, Canada. E-mail: [email protected]

Keywords:
Finite element method Conjugate gradient method Mixed finite element method Extended finite element method Estimator Computer science Smoothed finite element method Applied mathematics Heat transfer Conjugate Mathematical optimization Derivation of the conjugate gradient method hp-FEM Finite element limit analysis Conjugate residual method Mathematics Boundary knot method Mathematical analysis Mechanics Physics Gradient descent Thermodynamics Artificial intelligence

Metrics

23
Cited By
3.21
FWCI (Field Weighted Citation Impact)
17
Refs
0.92
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Advanced Numerical Methods in Computational Mathematics
Physical Sciences →  Engineering →  Computational Mechanics
Computational Fluid Dynamics and Aerodynamics
Physical Sciences →  Engineering →  Computational Mechanics
Numerical methods in engineering
Physical Sciences →  Engineering →  Mechanics of Materials

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