Identification of a memory kernel in a nonlinear integrodifferential parabolic problem
type: Item
instance of: scholarly article
title: Identification of a memory kernel in a nonlinear integrodifferential parabolic problem
zbMATH Open document ID: 1370.65083
author: F. Gistelinck
author: K. Van Bockstal
author: M. Slodička
published in: Applied Numerical Mathematics
publication date: 2017-08-01T00:00:00Z
full work available at URL: https://biblio.ugent.be/publication/8524838
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 65R32
Mathematics Subject Classification ID: 45Q05
zbMATH DE Number: 6755542
zbMATH Keywords: nonlinear integro-differential parabolic problem
zbMATH Keywords: parabolic IBVP
zbMATH Keywords: integral overdetermination
zbMATH Keywords: convolution kernel
zbMATH Keywords: reconstruction
zbMATH Keywords: convergence
zbMATH Keywords: time discretization
zbMATH Keywords: inverse problem
zbMATH Keywords: algorithm
zbMATH Keywords: Rothe's method
zbMATH Keywords: numerical experiments
describes a project that uses: FEniCS
describes a project that uses: DOLFIN
MaRDI profile type: Publication
OpenAlex ID: W2623647371
cites work: Q4003924
cites work: Q4496291
cites work: On an inverse problem for a model of linear viscoelastic Kirchhoff plate
cites work: A GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT FOR A SEMILINEAR INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEM IN SOBOLEV SPACES
cites work: Q4453318
cites work: Q3421212
cites work: On a Finite Difference Scheme for an Inverse Integro-Differential Problem Using Semigroup Theory: A Functional Analytic Approach
cites work: Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement
cites work: Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination
cites work: Parameter determination in a partial differential equation from the overspecified data
cites work: Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
cites work: Q4399897
cites work: Q4777920
cites work: An identification problem for an abstract linear hyperbolic integrodifferential equation with applications
cites work: An inverse hyperbolic integrodifferential problem arising in geophysics
cites work: Q3128804
cites work: Convergence to a stationary state for solutions to parabolic inverse problems of reconstruction of convolution kernels.
cites work: Identification of the time-dependent conductivity of an inhomogeneous diffusive material
cites work: The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data
cites work: Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions
cites work: Discretization and regularization of an inverse problem related to a quasilinear hyperbolic integrodifferential equation
cites work: On Tikhonov Regularization for Identifying Memory Kernels in Heat Conduction and Viscoelasticity
cites work: Q3704862
cites work: Q4139197
cites work: The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement
cites work: Determination of a time-dependent diffusivity from nonlocal conditions
cites work: DOLFIN
cites work: Automated solution of differential equations by the finite element method. The FEniCS book
cites work: Determination of a time-dependent coefficient in a quasi-linear parabolic equation
cites work: A model for one-dimensional, nonlinear viscoelasticity
cites work: High-order scheme for determination of a control parameter in an inverse problem from the over-specified data
cites work: Q3094428
cites work: Q4340161
cites work: Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications
cites work: A nonlinear parabolic equation with a nonlocal boundary term
cites work: Q4765632
cites work: Determination of a time-dependent diffusivity in a nonlinear parabolic problem
cites work: Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory
DOI: 10.1016/J.APNUM.2017.06.004
description: scientific article; zbMATH DE number 6755542