An efficient adaptive boundary algorithm to reconstruct Neumann boundary data in the MFS for the inverse Stefan problem

DOI10.1016/j.cam.2018.09.004OpenAlexW2891555881WikidataQ129222749 ScholiaQ129222749MaRDI QIDQ1713083

José Alberto Cuminato, Michael Vynnycky, Gujji Murali Mohan Reddy

Publication date: 24 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2018.09.004

zbMATH Keywords

adaptive algorithmTikhonov regularizationmethod of fundamental solutionsinverse Stefan problemNeumann data

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Inverse problems for PDEs (35R30) Applications to the sciences (65Z05) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Related Items

Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy-Stefan problem ⋮ Wavelet based numerical approach of non-classical moving boundary problem with convection effect and variable latent heat under the most generalized boundary conditions ⋮ A numerical scheme based on discrete mollification method using Bernstein basis polynomials for solving the inverse one-dimensional Stefan problem ⋮ Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: a phase-wise approach

Uses Software

• Matlab

Cites Work

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