The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method
From MaRDI portal
Publication:1732360
DOI10.1016/j.camwa.2017.10.004zbMath1409.78001OpenAlexW2768066062MaRDI QIDQ1732360
Publication date: 25 March 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://biblio.ugent.be/publication/8551377
Maxwell's equationsreconstructioninverse source problemtime discretization\(\mathbf A\)-\(\phi\) method
Electromagnetic theory (general) (78A25) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions
- A-\(\phi\) finite element method with composite grids for time-dependent eddy current problem
- Automated solution of differential equations by the finite element method. The FEniCS book
- Fully discrete potential-based finite element methods for a transient eddy current problem
- Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach
- Identification of a spacewise dependent heat source
- Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
- Recovery of a time dependent source from a surface measurement in Maxwell's equations
- Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory
- Determination of a solely time-dependent source in a semilinear parabolic problem by means of boundary measurements
- DOLFIN
- Determination of missing boundary data for a steady-state Maxwell problem
- Boundary data identification for a eddy-current problem on polyhedra: numerical approach
- Recovery of a space-dependent vector source in thermoelastic systems
- Incompressible Finite Element Methods for Navier-Stokes Equations with Nonstandard Boundary Conditions in R 3
- Fully discrete A‐ϕ finite element method for Maxwell's equations with nonlinear conductivity
- Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III
- An inverse problem for Maxwell's equations in isotropic and non-stationary media
- A variational method for identifying a spacewise-dependent heat source
- An Inverse Problem for Maxwell's Equations in Bi-isotropic Media
This page was built for publication: The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method