Computational determination of the lowest order coefficient in a parabolic equation

DOI10.1134/S1064562414020161zbMath1301.65103WikidataQ57694538 ScholiaQ57694538MaRDI QIDQ461899

Vasiliy I. Vasil'ev, Petr N. Vabishchevich

Publication date: 15 October 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmfinite elementssecond-order parabolic equationnonlinear inverse probleminverse coefficient problems

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) Second-order parabolic equations (35K10)

Related Items (3)

Numerical solution of an inverse filtration problem ⋮ Computational Identification of the Right Hand Side of the Parabolic Equations in Problems of Filtration ⋮ Inverse problem of finding the coefficient of the lowest term in two-dimensional heat equation with Ionkin-type boundary condition

Cites Work

• Unnamed Item
• Unnamed Item
• Inverse heat problem of determining time-dependent source parameter in reproducing kernel space
• Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation
• On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem
• A splitting up algorithm for the determination of the control parameter in multi dimensional parabolic problem
• Numerical methods for solving inverse problems of mathematical physics.
• Numerical methods for two-dimensional parabolic inverse problem with energy overspecification
• Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations
• Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
• A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation
• The Mathematical Theory of Finite Element Methods
• Inverse problems for partial differential equations

This page was built for publication: Computational determination of the lowest order coefficient in a parabolic equation