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math-ph2014★ 1 cited
Incorporating local boundary conditions into nonlocal theories
Burak Aksoylu, Horst Reinhard Beyer, Fatih Celiker
We study nonlocal equations from the area of peridynamics on bounded domains. In our companion paper, we discover that, on , the governing operator in peridynamics, w…
math-ph2014★ 30 cited
On a Class of Nonlocal Wave Equations from Applications
Horst Reinhard Beyer, Burak Aksoylu, Fatih Celiker
We study equations from the area of peridynamics, which is an extension of elasticity. The governing equations form a system of nonlocal wave equations. Its governing operator is f…