Numerical methods for nonlocal problems

tarafından

Kaya, Adem, author.

Başlık

:
Numerical methods for nonlocal problems

Yazar

:
Kaya, Adem, author.

Yazar Ek Girişi

:
Kaya, Adem, author.

Fiziksel Tanımlama

:
ix, 81 leaves: illustrarions, charts;+ 1 computer laser optical disc

Özet

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In this thesis, numerical methods for nonlocal problems with local boundary conditions from the area of peridynamics are studied. The novel operators that satisfy local boundary conditions were proposed as an alternative to the original nonlocal problems which uses nonlocal boundaries. Peridynamic theory is reformulation of continuum mechanics by integral equations for which it has some advantages over traditional partial differential equations. In peridynamic theory, a point can interact with other points within a certain distance which is called horizon and indicated by the parameter δ. In this thesis, we are particularly interested in role of the parameter δ in numerical methods for the novel problems. More precisely, we aim to show its role in condition number, discretization error and convergence factor of multigrid method.

Konu Başlığı

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Numerical analysis.

Yazar Ek Girişi

:
Tanoğlu, Gamze,

Tüzel Kişi Ek Girişi

:
İzmir Institute of Technology. Mathematics.

Tek Biçim Eser Adı

:
Thesis (Doctoral)--İzmir Institute of Technology: Mathematics.

İzmir Institute of Technology: Mathematics--Thesis (Doctoral).

Elektronik Erişim

:
Kütüphane | Materyal Türü | Demirbaş Numarası | Yer Numarası | Durumu/İade Tarihi |
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IYTE | Tez | T001736 | QA297 .K23 2018 | Tez Koleksiyonu |