An inversion method for parabolic equations based on quasireversibility

DOI10.1016/S0898-1221(02)80003-7zbMath1050.65089MaRDI QIDQ1878525

Wei Cai, Michael V. Klibanov, Mohsen Tadi

Publication date: 20 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical resultsinverse problemiterative methodparabolic equationsdifferential-integral equationill-posed boundary value problemquasireversibity

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (17)

An inverse problem of reconstructing option drift rate from market observation data ⋮ A numerical method based on the polynomial regression for the inverse diffusion problem ⋮ A TRACE-TYPE FUNCTIONAL METHOD FOR DETERMINATION OF A COEFFICIENT IN AN INVERSE HEAT CONDUCTION PROBLEM ⋮ The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method ⋮ Blood perfusion estimation in heterogeneous tissue using BEM based algorithm ⋮ Fully discrete finite element data assimilation method for the heat equation ⋮ An iterative method for the solution of ill-posed parabolic systems ⋮ Reconstruction of the space-dependent perfusion coefficient from final time or time-average temperature measurements ⋮ Numerical approximation of solutions of a nonlinear inverse problem arising in olfaction experi\-mentation ⋮ Identifying the coefficient of first-order in parabolic equation from final measurement data ⋮ Global convergence for a 1-D inverse problem with application to imaging of land mines ⋮ A distributed parameter identification problem in neuronal cable theory models ⋮ Space-dependent perfusion coefficient identification in the transient bio-heat equation ⋮ Evaluation of diffusion coefficient based on multiple forward solutions ⋮ The homotopy method for identifying the radiative source term in the heat conduction problem ⋮ Identifying the radiative coefficient of heat conduction equations from discrete measurement data ⋮ Identifying the radiative coefficient of an evolutional type heat conduction equation by optimization method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An inverse method for estimation of the initial temperature profile and its evolution in polymer processing
• Numerical Solution of a Subsurface Imaging Inverse Problem
• Inverse problems and Carleman estimates
• Some inverse problems for the diffusion equation
• An Integrodifferential Model for Orientational Distributions of F-actin in Cells
• Uniqueness for an Elliptic Inverse Problem
• Numerical Solution of a Parabolic Inverse Problem in Optical Tomography Using Experimental Data
• A fast and accurate imaging algorithm in optical/diffusion tomography
• Inverse heat conduction based on boundary measurement
• An existence result for an inverse problem for a quasilinear parabolic equation
• A spectral method for solving the sideways heat equation
• Iterative Solution Methods
• Inverse problems for partial differential equations

This page was built for publication: An inversion method for parabolic equations based on quasireversibility