Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III
From MaRDI portal
Publication:5348704
DOI10.1080/17415977.2016.1199696zbMath1369.74023OpenAlexW2467518516MaRDI QIDQ5348704
Karel Van Bockstal, Marián Slodička
Publication date: 18 August 2017
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2016.1199696
Thermal effects in solid mechanics (74F05) Inverse problems for PDEs (35R30) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Inverse problems in thermodynamics and heat transfer (80A23) Initial-boundary value problems for mixed-type systems of PDEs (35M33)
Related Items
A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions ⋮ Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-III ⋮ The reconstruction of a solely time-dependent load in a simply supported non-homogeneous Euler-Bernoulli beam ⋮ The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method ⋮ Source identification problems for radially symmetric and axis-symmetric heat conduction equations ⋮ Recovery of a space-dependent vector source in anisotropic thermoelastic systems ⋮ Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems
Uses Software
Cites Work
- Unnamed Item
- An inverse source problem for a damped wave equation with memory
- A parabolic inverse source problem with a dynamical boundary condition
- Stability analysis of a thermo-elastic system of type II with boundary viscoelastic damping
- Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination
- A nonlinear parabolic integro-differential problem with an unknown Dirichlet boundary condition
- Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement
- Global existence and exponential stability in one-dimensional nonlinear thermoelasticity with thermal memory
- 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
- Automated solution of differential equations by the finite element method. The FEniCS book
- Estimates of error in finite element approximate solutions to problems in linear thermoelasticity. I: Computationally coupled numerical schemes
- Uniqueness and stability of an inverse kernel problem for type III thermoelasticity
- Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory
- Reconstruction of an unknown source parameter in a semilinear parabolic problem
- Theoretical and computational aspects of non-classical thermoelasticity
- Parameter determination in a partial differential equation from the overspecified data
- The equations of thermoelasticity with time-dependent coefficients
- On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
- Inéquations en thermoélasticité et magnétohydrodynamique
- DOLFIN
- Carleman estimates and an inverse heat source problem for the thermoelasticity system
- Determination of an unknown source for a thermoelastic system with a memory effect
- Thermoelasticity and Irreversible Thermodynamics
- Finite element methods for coupled thermoelasticity and coupled consolidation of clay
- A re-examination of the basic postulates of thermomechanics
- Recovery of a space-dependent vector source in thermoelastic systems
- Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications
- Étude de deux schémas numériques pour les équations de la thermoélasticité
- Energy decay for hyperbolic thermoelastic systems of memory type
- Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
- Finite Element Methods for Maxwell's Equations
- Approximate Solutions in Linear, Coupled Thermoelasticity
- Variational principles for linear coupled thermoelasticity
