On a class of nonlocal wave equations from applications
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Publication:3178325
DOI10.1063/1.4953252zbMath1342.74088arXiv1409.7525OpenAlexW1658814019MaRDI QIDQ3178325
Fatih Celiker, Burak Aksoylu, Horst Reinhard Beyer
Publication date: 11 July 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.7525
Classical linear elasticity (74B05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Applications of operator theory in the physical sciences (47N50) Almost and pseudo-almost periodic solutions to PDEs (35B15) Spectrum, resolvent (47A10) Linear waves in solid mechanics (74J05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items (10)
Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains ⋮ Nonlocal operators with local boundary conditions in higher dimensions ⋮ Comparison of Nonlocal Operators Utilizing Perturbation Analysis ⋮ A space-time discretization of a nonlinear peridynamic model on a 2D lamina ⋮ Analytical solutions of peristatics and peridynamics for 3D isotropic materials ⋮ Peridynamics review ⋮ Conditioning and error analysis of nonlocal operators with local boundary conditions ⋮ Theoretical foundations of incorporating local boundary conditions into nonlocal problems ⋮ Numerical methods for the nonlocal wave equation of the peridynamics ⋮ Higher order collocation methods for nonlocal problems and their asymptotic compatibility
Uses Software
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