An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy-Stefan problem

DOI10.1007/s40314-021-01454-1zbMath1476.65274OpenAlexW3147343720MaRDI QIDQ2244001

Yanyan Li

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1007/s40314-021-01454-1

zbMATH Keywords

Tikhonov regularizationmethod of fundamental solutionsboundary identification probleminverse Cauchy-Stefan problemadaptive boundary algorithm

Mathematics Subject Classification ID

Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Related Items

Numerical approximation of the one-dimensional inverse Cauchy-Stefan problem using heat polynomials methods, Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control, Efficient numerical solution of boundary identification problems: MFS with adaptive stochastic optimization, Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: a phase-wise approach

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