Time discretization schemes for the Stefan problem in a concentrated capacity

DOI10.1007/BF01020324zbMath0786.76060OpenAlexW1995214209MaRDI QIDQ1312617

Claudio Verdi, Enrico Magenes

Publication date: 7 February 1994

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01020324

zbMATH Keywords

heat conductionerror estimate

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (2)

Unnamed Item ⋮ List of Mathematical Works Authored or Edited by Enrico Magenes

Cites Work

• Unnamed Item
• Unnamed Item
• On a numerical approach to Stefan-like problems
• Solution of porous medium type systems by linear approximation schemes
• Some new results on a Stefan problem in a concentrated capacity
• Error estimates for a semi-explicit numerical scheme for Stefan-type problems
• Existence and uniqueness of solutions to a concentrated capacity problem with change of phase
• Existence and continuity of a weak solution to the problem of a free boundary in a concentrated capacity
• Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
• An Efficient Linear Scheme to Approximate Parabolic Free Boundary Problems: Error Estimates and Implementation
• A Stable Extrapolation Method for Multidimensional Degenerate Parabolic Problems
• A Model Problem for Heat Conduction with a Free Boundary in a Concentrated Capacity

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