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Robust preconditioners for the high-contrast Stokes equation 

Aksoylu, Burak (Elsevier Science Bv, 2014-03)
We consider the Stokes equation with high-contrast viscosity coefficients. We construct a preconditioner that is robust with respect to contrast size and mesh size simultaneously based on the preconditioner proposed by ...
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On a class of nonlocal wave equations from applications 

Beyer, Horst Reinhard; Aksoylu, Burak; Çeliker, Fatih (American Institute of Physics Inc., 2016-06)
We study equations from the area of peridynamics, which is a nonlocal extension of elasticity. The governing equations form asystem of nonlocal wave equations. We take a novel approach by applying operator theory methods ...
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Conditioning analysis of nonlocal integral operators in fractional Sobolev spaces 

Aksoylu, Burak; Unlu, Zuhal (Society for Industrial and Applied Mathematics Publications, 2014-03)
We study the conditioning of nonlocal integral operators with singular and integrable kernels in fractional Sobolev spaces. These operators are used, for instance, in peridynamics formulation and nonlocal diffusion. In one ...

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AuthorAksoylu, Burak (3)Beyer, Horst Reinhard (1)Unlu, Zuhal (1)Çeliker, Fatih (1)SubjectCondition number (1)Finite-Element-Method (1)Stokes equation (1) Approximation (1) Blow-Up (1) Diffusion (1) Global Existence (1) High-contrast (1) High-contrast viscosity (1) Linear Elasticity (1)... View MoreDate Issued2014 (2)2016 (1)Has File(s)No (2)Yes (1)Type
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CoverageMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı (3)WOSWOS:000329376700065 (1)WOS:000335818000004 (1)WOS:000379168200025 (1)Scopus2-s2.0-84889087944 (1)2-s2.0-84902581457 (1)2-s2.0-84974803074 (1)Avrupa Birliği Destekli Yayın SayısıEuropean Commission Marie Curie Career Integration Grant [293978] (1)European Union [293978] (1)European Union Marie Curie Career Integration [293978] (1)TÜBİTAK Destekli Yayın Sayısı
info:eu-repo/grantAgreement/TÜBİTAK/TBAG/112T240 (3)
info:eu-repo/grantAgreement/TÜBİTAK/MAG/112M891 (2)Dileng (3)Erişiminfo:eu-repo/semantics/openAccess (2)info:eu-repo/semantics/closedAccess (1)

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