A novel primal-mixed finite element approach for heat transfer in solids

DOI10.1007/s00466-006-0034-0zbMath1172.80005OpenAlexW2010774564MaRDI QIDQ1015554

B. Medjo, D. Mijuca, Aleš Žiberna

Publication date: 8 May 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-006-0034-0

zbMATH Keywords

reliabilityheat transferparabolic equationsolid mechanicsconditions of convergencemixed variationalprimal-mixed finite element method

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

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Cites Work

• Unnamed Item
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• Mixed finite element methods for elliptic problems
• On hexahedral finite element HC8/27 in elasticity
• Unconditionally stable higher-order accurate collocation time-step integration algorithms for first-order equations
• Regularized \(p\)-version collocation BEM algorithms for two-dimensional heat conduction
• The Multifrontal Solution of Indefinite Sparse Symmetric Linear
• MIXED FINITE ELEMENT METHODS WITH CONTINUOUS STRESSES
• The Factorization of Sparse Symmetric Indefinite Matrices
• Local and global smoothing of discontinuous finite element functions using a least squares method
• Meshless least-squares method for solving the steady-state heat conduction equation
• On the consistency of finite element models in thermoelastic analysis.