CONDITIONING ANALYSIS OF NONLOCAL INTEGRAL OPERATORS IN FRACTIONAL SOBOLEV SPACES

We study the conditioning of nonlocal integral operators with singular and integrate kernels in fractional Sobolev spaces. These operators are used, for instance, in peridynamics formulation and nonlocal diffusion. In one dimension (1D), we present sharp quantification of the extremal eigenvalues in...

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Veröffentlicht in:	SIAM journal on numerical analysis 2014-01, Vol.52 (2), p.653-677
Hauptverfasser:	AKSOYLU, BURAK, UNLU, ZUHAL
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Applied mathematics Boundary conditions Eigenvalues Linear algebra Mathematical constants Mathematical theorems Multiscale modeling Quantification Sobolev spaces Stiffness matrix
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