Reconstruction of the time-dependent source in thermal grooving by surface diffusion
From MaRDI portal
Publication:6556725
DOI10.1016/j.cam.2024.115789zbMath1542.3543MaRDI QIDQ6556725
Publication date: 17 June 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
conjugate gradient methodfourth-order parabolic equationsurface diffusioninverse source problemthermal grooving
Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Identification of unknown temporal and spatial load distributions in a vibrating Euler-Bernoulli beam from Dirichlet boundary measured data
- Determination of a term in the right-hand side of parabolic equations
- On the cost of null controllability of a fourth-order parabolic equation
- Diffusion subject to the specification of mass
- The solution of an inverse heat conduction problem subject to the specification of energies
- A fourth-order parabolic equation modeling epitaxial thin film growth
- Determination of the time-dependent thermal grooving coefficient
- Simultaneous identification and reconstruction of the space-dependent reaction coefficient and source term
- Ill-posed problems and the conjugate gradient method: optimal convergence rates in the presence of discretization and modelling errors
- 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
- Identifying space-time dependent force on the vibrating Euler-Bernoulli beam by a boundary functional method
- Hessian recovery based finite element methods for the Cahn-Hilliard equation
- Identification of an unknown spatial load distribution in a vibrating cantilevered beam from final overdetermination
- Lipschitz stability in an inverse problem for the main coefficient of a Kuramoto-Sivashinsky type equation
- Identification of an unknown shear force in a cantilever Euler-Bernoulli beam from measured boundary bending moment
- Fourth-order partial differential equations for noise removal
- Thermal grooving by surface diffusion: Mullins revisited and extended to multiple grooves
- Identification of an unknown source term in a vibrating cantilevered beam from final overdetermination
- An integrable fourth-order nonlinear evolution equation applied to thermal grooving of metal surfaces
- Fourth-order fractional diffusion model of thermal grooving: integral approach to approximate closed form solution of the Mullins model
- Conjugate Gradient Algorithms and Finite Element Methods
- A numerical differentiation method and its application to reconstruction of discontinuity
- DIRECT AND INVERSE PROBLEMS FOR THERMAL GROOVING BY SURFACE DIFFUSION WITH TIME DEPENDENT MULLINS COEFFICIENT
- Identification of a temporal load in a cantilever beam from measured boundary bending moment
- Identification of an unknown shear force in the Euler–Bernoulli cantilever beam from measured boundary deflection
- Semi-discrete Time-Dependent Fourth-Order Problems on an Interval: Error Estimate
- Inverse Problems of Determination of the Right-Hand Side Term in the Degenerate Higher-Order Parabolic Equation on a Plane
- An introduction to the mathematical theory of inverse problems
- An inverse problem of identifying the time‐dependent potential in a fourth‐order pseudo‐parabolic equation from additional condition
This page was built for publication: Reconstruction of the time-dependent source in thermal grooving by surface diffusion