Determination of a time-dependent convolution kernel from a boundary measurement in nonlinear Maxwell's equations
DOI10.1016/j.camwa.2016.06.032zbMath1361.65072OpenAlexW2500122809MaRDI QIDQ521453
Publication date: 11 April 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.06.032
algorithmconvergenceinverse problemnumerical experimentreconstructiontime discretizationnonlinear hyperbolic Maxwell equationunknown convolution kernel
Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Maxwell equations (35Q61)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A parabolic inverse source problem with a dynamical boundary condition
- Identification of an unknown time-dependent heat source term from overspecified Dirichlet boundary data by conjugate gradient method
- Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions
- Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination
- Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement
- An inverse source problem with single Dirichlet type measured output data for a linear parabolic equation
- Convergence to a stationary state for solutions to parabolic inverse problems of reconstruction of convolution kernels.
- An analysis of inverse source problems with final time measured output data for the heat conduction equation: A semigroup approach
- Solving metamaterial Maxwell's equations via a vector wave integro-differential equation
- Solution of time-convolutionary Maxwell's equations using parameter-dependent Krylov subspace reduction
- An identification problem for an abstract linear hyperbolic integrodifferential equation with applications
- Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysis
- Maxwell-systems with nonlinear polarization.
- Recovery of a time dependent source from a surface measurement in Maxwell's equations
- Determination of a solely time-dependent source in a semilinear parabolic problem by means of boundary measurements
- Superconvergence analysis for time-dependent Maxwell's equations in metamaterials
- Determination of a time-dependent convolution kernel in a non-linear hyperbolic equation
- Direct Methods in the Theory of Elliptic Equations
- Application of Rothe's method to evolution integrodifferential equations.
- Vector potentials in three-dimensional non-smooth domains
- Discretization and regularization of an inverse problem related to a quasilinear hyperbolic integrodifferential equation
- On Tikhonov Regularization for Identifying Memory Kernels in Heat Conduction and Viscoelasticity
- Finite Element Methods for Maxwell's Equations
- An inverse hyperbolic integrodifferential problem arising in geophysics II
- A GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT FOR A SEMILINEAR INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEM IN SOBOLEV SPACES
This page was built for publication: Determination of a time-dependent convolution kernel from a boundary measurement in nonlinear Maxwell's equations
