Numerical identification of a Robin coefficient in parabolic problems

No abstract is available for this paper.

• Publication year

  2012

• Venue

  Mathematics of Computation

• Publication date

  2012-07-01

• Fields of study

  Mathematics, Computer Science, Engineering

• Identifiers
  DOI 10.1090/S0025-5718-2012-02559-2
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Heat and mass transfer

  2025influential reference
• Partial differential equations

  2010cited by this paper
• Numerical estimation of the Robin coefficient in a stationary diffusion equation

  2010cited by this paper
• Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem

  2010cited by this paper
• Numerical Estimation of Piecewise Constant Robin Coefficient

  2009cited by this paper
• The identification of a Robin coefficient by a conjugate gradient method

  2009cited by this paper
• Optimal Control for the Thermistor Problem

  2009cited by this paper
• Investigation of heat transfer coefficient in two‐dimensional transient inverse heat conduction problems using the hybrid inverse scheme

  2008cited by this paper
• Inversion of Robin coefficient by a spectral stochastic finite element approach

  2008cited by this paper
• Stability estimate for an inverse boundary coefficient problem in thermal imaging

  2008cited by this paper
• Reconstruction of heat transfer coefficients using the boundary element method

  2008cited by this paper
• Conjugate gradient method for the Robin inverse problem associated with the Laplace equation

  2007cited by this paper
• Semidiscrete approximations of optimal Robin boundary control problems constrained by semilinear parabolic PDE

  2006cited by this paper
• Numerical Reconstruction of Heat Fluxes

  2005cited by this paper
• Logarithmic stability estimates for a Robin coefficient in two-dimensional Laplace inverse problems

  2004cited by this paper
• Logarithmic stability estimates for a Robin coefficient in two-dimensional Laplace inverse problems

  2003cited by this paper
• Determination of a Robin coefficient in semilinear parabolic problems by means of boundary measurements

  2002cited by this paper
• On the stability of the L2 projection in H1(Omega)

  2002cited by this paper
• Determination of heat sources and heat transfer coefficient for two-dimensional heat flow – numerical and experimental study

  2001cited by this paper
• CRC Handbook of Thermal Engineering

  1999cited by this paper
• Identification of Robin coefficients by the means of boundary measurements

  1999cited by this paper
• On the determination of an unknown boundary function in a parabolic equation

  1999cited by this paper
• Inverse heat conduction problem of determining time-dependent heat transfer coefficient

  1999cited by this paper
• On the determination of an unknown boundary function in a parabolic equation

  1999cited by this paper
• A strong unique continuation theorem for parabolic equations

  1998cited by this paper
• A variational algorithm for electrical impedance tomography

  1998cited by this paper
• On a sideways parabolic equation

  1997cited by this paper
• The Mathematical Theory of Finite Element Methods

  1994cited by this paper
• John wiley & sons.

  1994cited by this paper
• A non-characteristic Cauchy problem for linear parabolic equations and related inverse problems: I. Solvability

  1994cited by this paper
• Inverse heat transfer problems

  1994cited by this paper
• Optimal control of a heat transfer problem with convective boundary condition

  1993cited by this paper
• Measure theory and fine properties of functions

  1992cited by this paper
• W 1,p -estimates of solutions to evolution equations corresponding to nonsmooth second order elliptic differential operators

  1992cited by this paper
• Some Estimates for a Weighted L 2 Projection

  1991cited by this paper
• Nonlinear inverse problem for the estimation of time-and-space-dependent heat-transfer coefficients

  1989cited by this paper
• Inverse Heat Conduction: Ill-Posed Problems

  1985cited by this paper
• Review: David Kinderlehrer and Guido Stampacchia, An introduction to variational inequalities and their applications

  1982cited by this paper
• An introduction to variational inequalities and their applications

  1980cited by this paper
• Regularity and stability for the mathematical programming problem in Banach spaces

  1979cited by this paper
• Solutions of ill-posed problems

  1977cited by this paper
• Academic press.

  1972cited by this paper
• Linear and quasilinear elliptic equations

  1968cited by this paper
• Unicité du prolongement des solutions pour quelques opérateurs différentiels paraboliques

  1958cited by this paper
• Providence

  1906cited by this paper

• A Numerical Approach for the Simultaneous Identification of a Source Term and a Robin Boundary Coefficient in Time-Fractional Reaction–Diffusion Equations

  2026cites this paper
• A persistent-homology-based Bayesian prior to identify Robin coefficient in parabolic problems

  2025cites this paper
• Numerical Approximation and Analysis of the Inverse Robin Problem Using the Kohn-Vogelius Method

  2025cites this paper
• A variational Crank-Nicolson ensemble Monte Carlo algorithm for a heat equation under uncertainty

  2024cites this paper
• An ensemble scheme for the numerical solution of a random transient heat equation with uncertain inputs

  2023cites this paper
• Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer

  2023cites this paper
• Identify the Robin coefficient in an inhomogeneous time-fractional diffusion-wave equation

  2023cites this paper
• Second-order time discretization for reaction coefficient estimation of bilinear parabolic optimization problem with Neumann boundary conditions

  2023cites this paper
• Convergence Rates for Identification of Robin Coefficient from Terminal Observations

  2023cites this paper
• Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation

  2022cites this paper
• BDF2 schemes for optimal parameter control problems governed by bilinear parabolic equations

  2022influential citation
• On Inverse Problems with Pointwise Overdetermination for Mathematical Models of Heat and Mass Transfer

  2022cites this paper
• On the cavity detection in a heat conductive medium from time-average boundary temperature measurement

  2022cites this paper
• A reduced basis Landweber method for the identification of piecewise constant Robin coefficient in an elliptic equation

  2021cites this paper
• On the simultaneous reconstruction of boundary Robin coefficient and internal source in a slow diffusion system

  2021cites this paper
• Numerical reconstruction of a non-smooth heat flux in the inverse radial heat conduction problem

  2021cites this paper
• Simultaneous reconstruction of space-dependent heat transfer coefficients and initial temperature

  2020cites this paper
• A linear regularization method for a parameter identification problem in heat equation

  2020cites this paper
• Reconstruction of the heat transfer coefficient at the interface of a bi-material

  2019cites this paper
• A regularizing multilevel approach for nonlinear inverse problems

  2019cites this paper
• On a logarithmic stability estimate for an inverse heat conduction problem

  2019cites this paper
• A coefficient identification problem for a mathematical model related to ductal carcinoma in situ

  2019cites this paper
• Convergence rates of Tikhonov regularizations for elliptic and parabolic inverse radiativity problems

  2019cites this paper
• Error estimates for the finite element approximation of bilinear boundary control problems

  2019cites this paper
• Simultaneous reconstruction of the time-dependent Robin coefficient and heat flux in heat conduction problems

  2018cites this paper
• Simultaneous identification of the spatio-temporal dependent heat transfer coefficient and spatially dependent heat flux using an MCGM in a parabolic system

  2018cites this paper
• Uniqueness and numerical scheme for the Robin coefficient identification of the time-fractional diffusion equation

  2018cites this paper
• Simultaneous identification of convection velocity and source strength in a convection–diffusion equation

  2018cites this paper
• Domain Decomposition Methods for Recovering Robin Coefficients in Elliptic and Parabolic Systems

  2017cites this paper
• Identification of non-smooth boundary heat dissipation by partial boundary data

  2017cites this paper
• A NEW METHOD FOR SIMULTANEOUSLY RECONSTRUCTING THE SPACE-TIME DEPENDENT ROBIN COEFFICIENT AND HEAT FLUX IN A PARABOLIC SYSTEM

  2017influential citation
• Robin coefficient identification for a time-fractional diffusion equation

  2016cites this paper
• Local Lipschitz Stability for Inverse Robin Problems in Some Elliptic and Parabolic Systems

  2016cites this paper
• Determination of Robin coefficient in a fractional diffusion problem

  2016cites this paper
• A TV-Gaussian prior for infinite-dimensional Bayesian inverse problems and its numerical implementations

  2015cites this paper
• Quadratic Convergence of Levenberg-Marquardt Method for Elliptic and Parabolic Inverse Robin Problems

  2015cites this paper
• Reconstruction of an unknown cavity with Robin boundary condition inside a heat conductor

  2015cites this paper
• Conversion of inhomogeneous robin boundary conditions into virtual sources for wave motions and heat conduction

  2015cites this paper
• Reconstruction of a Robin Coefficient by a Predictor-Corrector Method

  2015cites this paper
• Realization of inhomogeneous boundary conditions as virtual sources in parabolic and hyperbolic dynamics

  2014cites this paper
• The Galerkin finite element method for a multi-term time-fractional diffusion equation

  2014cites this paper
• Energy transfer modelling of active thermoacoustic engines via Lagrangian thermoacoustic dynamics

  2014cites this paper
• ESTIMATES FOR A SEMIDISCRETE FINITE ELEMENT METHOD FOR FRACTIONAL ORDER PARABOLIC EQUATIONS

  2013cites this paper
• Determination of the heat transfer coefficients in transient heat conduction

  2013cites this paper
• Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

  2012cites this paper
• Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H - s , 0 ≤ s ≤ 1

  2012cites this paper
• A variational Bayesian method to inverse problems with impulsive noise

  2011cites this paper