Constraining inverse Stefan design problems

DOI10.1007/BF00916649zbMath0864.76089OpenAlexW2033126407MaRDI QIDQ2564744

Jay I. Frankel

Publication date: 15 January 1997

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00916649

zbMATH Keywords

symbolic manipulationorthogonal collocationtransient boundary conditionsweighted residual statementfixed-front differential formulationinterfacial surface motion

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Inverse problems for PDEs (35R30)

Related Items (5)

A modified quasi-reversibility method for inverse source problem of Poisson equation ⋮ Efficient numerical methods for boundary data and right‐hand side reconstructions in elliptic partial differential equations ⋮ Inverse source identification by Green's function ⋮ A Tikhonov-type regularization method for identifying the unknown source in the modified Helmholtz equation ⋮ Inverse source identification for Poisson equation

Cites Work

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• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• An analysis of solidification problems by the boundary element method
• A deforming finite element method analysis of inverse Stefan problems
• On the solution of an ill‐posed design solidification problem using minimization techniques in finite‐ and infinite‐dimensional function spaces

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