Numerical solution for the one-phase Stefan problem by piecewise-constant approximation of the interface
From MaRDI portal
Publication:913468
DOI10.1007/BF02250635zbMath0699.65082MaRDI QIDQ913468
Renato Spigler, Flavio Sartoretto
Publication date: 1990
Published in: Computing (Search for Journal in Brave)
algorithmstabilityheat equationconvergence rateStefan conditionboundary integral methodsfront tracking of the free boundaryone-phase one-dimensional Stefan problemthermal potentials
Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Boundary element methods for boundary value problems involving PDEs (65N38)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the numerical integration of a parabolic differential equation subject to a moving boundary condition
- An approximation technique for the numerical solution of a Stefan problem
- An algorithm for the one-phase Stefan problem
- Su un problema unidimensionale di diffusione in un mezzo a contorno mobile con condizioni ai limiti non lineari
- La diffusione del calore in uno strato di spessore variabile in presenza di scambi termici non lineari con l'ambiente. I: Deduzione di limitazioni a priori sulla temperatura e le sue derivate
- On the multivalence of a class of meromorphic functions
- TWO METHODS FOR THE NUMERICAL SOLUTION OF MOVING-BOUNDARY PROBLEMS IN DIFFUSION AND HEAT FLOW
- On an Explicit Method for the Solution of a Stefan Problem
- A Method for Calculating Solutions of Parabolic Equations with a Free Boundary
- A Modified Finite Difference Scheme for the Stefan Problem
- The Alternating Phase Truncation Method for Numerical Solution of a Stefan Problem
- An Enthalpty Formulation of the Stefan Problem
- A Numerical Solution of the Enthalpy Formulation of the Stefan Problem
- Stefan Problems with Nonlinear Boundary Conditions: The Polygonal Method
- Convergence of Huber's method for heat conduction problems with change of phase
- Über das Fortschreiten der Schmelzgrenze in einem linearen Leiter
This page was built for publication: Numerical solution for the one-phase Stefan problem by piecewise-constant approximation of the interface