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Inverse Problems in Science and Engineering Volume 26, 2018 - Issue 9
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On efficient reconstruction of boundary data with optimal placement of the source points in the MFS: application to inverse Stefan problems

G. M. M. Reddy Department of Applied Mathematics and Statistics, Institute of Mathematical and Computer Sciences, University of São Paulo at São Carlos , São Carlos, Brazil.Correspondence[email protected]
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M. Vynnycky Department of Materials Science and Engineering, Royal Institute of Technology (KTH) , Stockholm, Sweden.View further author information
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J. A. Cuminato Department of Applied Mathematics and Statistics, Institute of Mathematical and Computer Sciences, University of São Paulo at São Carlos , São Carlos, Brazil.View further author information
Pages 1249-1279 | Received 20 Apr 2017, Accepted 04 Oct 2017, Published online: 27 Oct 2017

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Soheila Bodaghi, Ali Zakeri & Amir Amiraslani. (2020) A numerical scheme based on discrete mollification method using Bernstein basis polynomials for solving the inverse one-dimensional Stefan problem. Inverse Problems in Science and Engineering 28:11, pages 1528-1550.
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Articles from other publishers (5)

P. Nanda, G.M.M. Reddy & M. Vynnycky. (2022) Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: A phase-wise approach. Computers & Mathematics with Applications 123, pages 216-226.
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Phalguni Nanda & Gujji Murali Mohan Reddy. (2022) Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control. Studies in Applied Mathematics 148:4, pages 1563-1585.
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G.M.M. Reddy, P. Nanda, M. Vynnycky & J.A. Cuminato. (2021) Efficient numerical solution of boundary identification problems: MFS with adaptive stochastic optimization. Applied Mathematics and Computation 409, pages 126402.
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G. M. M. Reddy, P. Nanda, M. Vynnycky & J. A. Cuminato. (2021) An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy–Stefan problem. Computational and Applied Mathematics 40:3.
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G.M.M. Reddy, M. Vynnycky & J.A. Cuminato. (2019) An efficient adaptive boundary algorithm to reconstruct Neumann boundary data in the MFS for the inverse Stefan problem. Journal of Computational and Applied Mathematics 349, pages 21-40.
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