Identification of memory kernels in hyperbolic problems

DOI10.1016/j.cam.2016.08.015zbMath1352.65314OpenAlexW2516309497MaRDI QIDQ730591

Marián Slodička, Lukáš Šeliga

Publication date: 28 December 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.08.015

zbMATH Keywords

wave equationinverse problemtime discretizationconvolution kernel

Mathematics Subject Classification ID

Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (1)

Determining kernels in linear viscoelasticity

Cites Work

• Optimal order finite element approximation for a hyperbolic integro-differential equation
• 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
• Convergence to a stationary state for solutions to parabolic inverse problems of reconstruction of convolution kernels.
• An identification problem for an abstract linear hyperbolic integrodifferential equation with applications
• Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
• Direct Methods in the Theory of Elliptic Equations
• On an inverse problem for a linear hyperbolic integrodifferential equation
• 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
• 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
• Inverse problems for partial differential equations
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