Numerical methods for nonlocal problems
Kaya, Adem, author.

Numerical methods for nonlocal problems

Kaya, Adem, author.

Yazar Ek Girişi
Kaya, Adem, author.

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

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
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
Access to Electronic Versiyon.

KütüphaneMateryal TürüDemirbaş NumarasıYer NumarasıDurumu/İade Tarihi
IYTETezT001736QA297 .K23 2018Tez Koleksiyonu