A one-dimensional spot welding model

DOI10.1155/JAM/2006/17936zbMath1153.80003MaRDI QIDQ2472039

Kevin T. Andrews, S. V. Putta, Laila Guessous, S. A. Nassar, Meir Shillor

Publication date: 20 February 2008

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54980

zbMATH Keywords

finite difference approximationsStefan problemmelting processtransmission conditionsconservation equationnonlinear and nonlocal problemspot welding model

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Stefan problems, phase changes, etc. (80A22) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Cites Work

• Existence of a solution to the Stefan problem with Joule's heating
• The Stefan problem with convection and Joule's heating
• The numerical solution of one-dimensional phase change problems using an adaptive moving mesh method
• Stationary solutions to the thermistor problem
• The Existence and Stability of Regions with Superheating in the Classical Two-phase One-dimensional Stefan Problem with Heat Sources
• A Mushy Region in a Stefan Problem
• A Comparative Study of Numerical Methods for Moving Boundary Problems
• Existence of generalized weak solutions to a model for in situ vitrification
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