A numerical scheme based on discrete mollification method using Bernstein basis polynomials for solving the inverse one-dimensional Stefan problem

DOI10.1080/17415977.2020.1733996zbMath1475.65103OpenAlexW3011700420MaRDI QIDQ4991532

Amir Amiraslani, Soheila Bodaghi, Ali Zakeri

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.1080/17415977.2020.1733996

zbMATH Keywords

stabilityconvergenceBernstein basis polynomialsdiscrete mollificationspace marching algorithmone-phase inverse Stefan problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Stefan problems, phase changes, etc. (80A22) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Optimization problems in thermodynamics and heat transfer (80M50) 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) Moving boundary problems for PDEs (35R37) Polynomial solutions to PDEs (35C11) Regularization by noise (60H50)

Related Items (2)

Discrete mollification in Bernstein basis and space marching scheme for numerical solution of an inverse two-phase one-dimensional Stefan problem ⋮ Structural analysis of matrix integration operators in polynomial bases

Cites Work

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