Analytic series solutions of 2D forward and backward heat conduction problems in rectangles and a new regularization

DOI10.1080/17415977.2020.1719086zbMath1475.65107OpenAlexW3003849888MaRDI QIDQ4991523

Chein-Shan Liu, Chih-Wen Chang

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/10.1080/17415977.2020.1719086

zbMATH Keywords

backward heat conduction problemadjoint Trefftz test functionsanalytic series solution2D heat conduction equationdomain/boundary integral equationspring-damping regularization

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Series solutions to PDEs (35C10) Numerical quadrature and cubature formulas (65D32) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) 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) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Regularization by noise (60H50)

Related Items (1)

A spring-damping regularization of the Fourier sine series solution to the inverse Cauchy problem for a 3D sideways heat equation

Uses Software

• FEAPpv

Cites Work

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