A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem

DOI10.1016/j.matcom.2014.03.004OpenAlexW2084555087MaRDI QIDQ2229855

B. Tomas Johansson, Thomas Reeve, Daniel Lesnic

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2014.03.004

zbMATH Keywords

regularizationheat conductionmethod of fundamental solutionsinverse Stefan problemtwo-phase change

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Heat equation (35K05) Theoretical approximation in context of PDEs (35A35)

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Discrete mollification in Bernstein basis and space marching scheme for numerical solution of an inverse two-phase one-dimensional Stefan problem ⋮ A heat polynomials method for the two-phase inverse Stefan problem ⋮ Unnamed Item ⋮ A modification of the method of fundamental solutions for solving 2D problems with concave and complicated domains ⋮ A Two-Constraint Method for Appropriate Determination of the Configuration of Source and Collocation Points in the Method of Fundamental Solutions for 2D Laplace Equation ⋮ An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy-Stefan problem ⋮ Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: a phase-wise approach ⋮ Two-phase inverse Stefan problems solved by heat polynomials method

Cites Work

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