Iterative computational identification of a space-wise dependent source in parabolic equation

DOI10.1080/17415977.2016.1230611zbMath1369.65118arXiv1604.04443OpenAlexW2964113092MaRDI QIDQ5348720

Petr N. Vabishchevich

Publication date: 18 August 2017

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

Full work available at URL: https://arxiv.org/abs/1604.04443

zbMATH Keywords

inverse problemfinite element methodtwo-level difference schemeparabolic partial differential equationidentification of the coefficient

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Parabolic equations and parabolic systems (35Kxx)

Related Items (4)

Conjugate Gradient Method for Identification of a Spacewise Heat Source ⋮ Computational identification of the lowest space-wise dependent coefficient of a parabolic equation ⋮ Determining the intensity variation of heat sources in the heat equation ⋮ Existence and uniqueness results for an inverse problem for a semilinear equation with final overdetermination

Cites Work

• On a quadratic functional in a nonlocal boundary value problem for the heat equation
• On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition
• A unified approach to identifying an unknown spacewise dependent source in a variable coefficient parabolic equation from final and integral overdeterminations
• Determination of a spacewise dependent heat source
• Numerical methods for solving inverse problems of mathematical physics.
• Inverse parabolic problems with the final overdetermination
• Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
• Mixed and Hybrid Finite Element Methods
• ON CERTAIN INVERSE PROBLEMS FOR PARABOLIC EQUATIONS WITH FINAL AND INTEGRAL OBSERVATION
• On non-local problems for parabolic equations
• Computational Methods for Inverse Problems
• The inverse problem of recovering the source in a parabolic equation under a condition of nonlocal observation
• Reconstruction of a spacewise-dependent heat source in a time-dependent heat diffusion process
• The Mathematical Theory of Finite Element Methods
• Galerkin Finite Element Methods for Parabolic Problems

This page was built for publication: Iterative computational identification of a space-wise dependent source in parabolic equation