A method of fundamental solutions for the one-dimensional inverse Stefan problem

B.T. Johansson; D. Lesnic; T. Reeve

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A method of fundamental solutions for the one-dimensional inverse Stefan problem

机译：一维Stefan逆问题的基本解法

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摘要

We investigate an application of the method of fundamental solutions (MFS) to the one-dimensional inverse Stefan problem for the heat equation by extending the MFS proposed in [5] for the one-dimensional direct Stefan problem. The sources are placed outside the space domain of interest and in the time interval (-T.T). Theoretical properties of the method, as well as numerical investigations, are included, showing that accurate and stable results can be obtained efficiently with small computational cost.

机译：通过扩展[5]中针对一维直接Stefan问题提出的MFS，我们研究了基本解法（MFS）在热方程的一维逆Stefan问题中的应用。源被放置在感兴趣的空间域之外并且在时间间隔（-T.T）中。该方法的理论性质以及数值研究都包括在内，表明可以用较少的计算成本有效地获得准确和稳定的结果。

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来源
《Applied Mathematical Modelling》 |2011年第9期|p.4367-4378|共12页
作者
B.T. Johansson; D. Lesnic; T. Reeve;
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作者单位

School of Mathematics, University of Birmingham, Birmingham BIS 2TT, UK;

Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK;

Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
heat conduction; method of fundamental solutions (MFS); inverse stefan problem;

机译：导热基本解决方法（MFS）;反斯蒂芬问题;

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专利

1. Numerical approximation of the one-dimensional inverse Cauchy-Stefan problem using a method of fundamental solutions [J] . B. Tomas Johansson, Daniel Lesnic, Thomas Reeve Inverse Problems in Science & Engineering . 2011,第5a6期

机译：一维反柯西-斯蒂芬反问题的基本解法
2. Numerical approximation of the one-dimensional inverse Cauchy-Stefan problem using a method of fundamental solutions [J] . B. Tomas Johansson Daniel Lesnic Thomas Reeve Inverse Problems in Science and Engineering . 2011,第5期

机译：一维反柯西-斯蒂芬反问题的基本解法
3. The method of fundamental solutions for the two-dimensional inverse Stefan problem [J] . B. Tomas Johansson, Daniel Lesnic, Thomas Reeve Inverse Problems in Science & Engineering . 2014,第1a2期

机译：二维逆斯蒂芬问题的基本解法
4. SOLUTION OF ONE PHASE INVERSE STEFAN PROBLEM BY IEF METHOD [C] . M M Sarsengeldin, S Guvercin, S Kassabek ScieTech 2014 . 2014

机译：IEF方法解决一相逆符合问题的解决方案
5. CONTINUITY OF THE DIRECT AND INVERSE PROBLEMS IN ONE-DIMENSIONAL SCATTERING THEORY AND NUMERICAL SOLUTION OF THE INVERSE PROBLEM. [D] . DE MOURA, CARLOS ANTONIO. 1976

机译：一维散射理论中直接问题和反问题的连续性以及反问题的数值解。
6. Application of the Method of Fundamental Solutions to Potential-based Inverse Electrocardiography [O] . Yong Wang, Yoram Rudy -1

机译：基本解法在基于势的逆心电图中的应用
7. A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem [O] . Johansson, B. Tomas, Lesnic, Daniel, Reeve, Thomas 2014

机译：逆两相一维非线性Stefan问题的无网格方法
8. Direct and Iterative One-Dimensional Front Tracking Methods for the Two-Dimensional Stefan Problem. [R] . Meyer, G. H. 1978

机译：二维stefan问题的直接和迭代一维前沿跟踪方法。

A method of fundamental solutions for the one-dimensional inverse Stefan problem

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