On efficient reconstruction of boundary data with optimal placement of the source points in the MFS: application to inverse Stefan problems

DOI10.1080/17415977.2017.1391244zbMath1428.65053OpenAlexW2765275900MaRDI QIDQ5240380

José Alberto Cuminato, Michael Vynnycky, Gujji Murali Mohan Reddy

Publication date: 25 October 2019

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2017.1391244

zbMATH Keywords

algorithmnoisemethod of fundamental solutionsinverse Stefan problemsource points

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical optimization and variational techniques (65K10) Stefan problems, phase changes, etc. (80A22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Free boundary problems for PDEs (35R35) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Related Items (6)

Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control ⋮ An efficient adaptive boundary algorithm to reconstruct Neumann boundary data in the MFS for the inverse Stefan problem ⋮ An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy-Stefan problem ⋮ Efficient numerical solution of boundary identification problems: MFS with adaptive stochastic optimization ⋮ 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

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