A trust region approach for numerical modeling of non-isothermal phase change

DOI10.1007/s10596-019-09846-3zbMath1425.86019OpenAlexW2954177121WikidataQ108689582 ScholiaQ108689582MaRDI QIDQ2009822

M. Reza Hirmand, James R. Craig, Erfan A. Amiri

Publication date: 2 December 2019

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

Full work available at URL: https://doi.org/10.1007/s10596-019-09846-3

zbMATH Keywords

finite element methodheat transferphase changetrust regionnon-isothermalpermafrost thaw

Mathematics Subject Classification ID

Numerical methods based on nonlinear programming (49M37) Applications to the sciences (65Z05) Glaciology (86A40) Discrete approximations in optimal control (49M25)

Uses Software

• XFEM
• GQTPAR

Cites Work

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• A study on iterative methods for solving Richards' equation
• Mixed finite elements for the Richards' equation: linearization procedure
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• A numerical solution of the multidimensional solidification (or melting) problem
• Heat transfer with melting or freezing in a wedge
• A Uniqueness Theorem for the Solution of a Stefan Problem
• Computing a Trust Region Step
• The extended finite element method (XFEM) for solidification problems
• Finite element solution of non-linear heat conduction problems with special reference to phase change
• Some Remarks on the Stefan Problem
• A note on the existence of a solution to a problem of Stefan
• The layered ultrabasic tocks of Rhum, Inner Hebrides

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