DRBEM solution of exterior nonlinear wave problem using FDM and LSM time integrations

The nonlinear wave equation is solved numerically in an exterior region. For the discretization of the space derivatives dual reciprocity boundary element method (DRBEM) is applied using the fundamental solution of Laplace equation. The time derivative and the nonlinearity are treated as the nonhomogenity. The boundary integrals coming from the far boundary are eliminated using rational and exponential interpolation functions which have decay properties far away from the region of interest. The resulting system of ordinary differential equations in time are solved using finite difference method (FDM) with a relaxation parameter and least squares method (LSM). The proposed methods are examined with numerical test problems in which the behaviours of solutions are known. Although it gives almost the same accuracy with the DRBEM+FDM procedure, DRBEM+LSM solution procedure is preferred, since it is a direct method without the need of a parameter. © 2010 Elsevier Ltd. All rights reserved.

Yazar Meral G.
Tezer-Sezgin M.
Yayın Türü Article
Tek Biçim Adres https://hdl.handle.net/20.500.12628/5199
Tek Biçim Adres 10.1016/j.enganabound.2010.01.006
Konu Başlıkları DRBEM
FDM
FEM
LSM
Nonlinear exterior wave problem
Koleksiyonlar Araştırma Çıktıları | WoS | Scopus | TR-Dizin | PubMed | SOBİAD
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WoS İndeksli Yayınlar Koleksiyonu
Dergi Adı Engineering Analysis with Boundary Elements
Dergi Cilt Bilgisi 34
Dergi Sayısı 6
Sayfalar 574 - 580
Yayın Yılı 2010
Eser Adı
[dc.title]
DRBEM solution of exterior nonlinear wave problem using FDM and LSM time integrations
Yazar
[dc.contributor.author]
Meral G.
Yazar
[dc.contributor.author]
Tezer-Sezgin M.
Yayın Yılı
[dc.date.issued]
2010
Yayın Türü
[dc.type]
article
Özet
[dc.description.abstract]
The nonlinear wave equation is solved numerically in an exterior region. For the discretization of the space derivatives dual reciprocity boundary element method (DRBEM) is applied using the fundamental solution of Laplace equation. The time derivative and the nonlinearity are treated as the nonhomogenity. The boundary integrals coming from the far boundary are eliminated using rational and exponential interpolation functions which have decay properties far away from the region of interest. The resulting system of ordinary differential equations in time are solved using finite difference method (FDM) with a relaxation parameter and least squares method (LSM). The proposed methods are examined with numerical test problems in which the behaviours of solutions are known. Although it gives almost the same accuracy with the DRBEM+FDM procedure, DRBEM+LSM solution procedure is preferred, since it is a direct method without the need of a parameter. © 2010 Elsevier Ltd. All rights reserved.
Kayıt Giriş Tarihi
[dc.date.accessioned]
2019-12-23
Açık Erişim Tarihi
[dc.date.available]
2019-12-23
Yayın Dili
[dc.language.iso]
eng
Konu Başlıkları
[dc.subject]
DRBEM
Konu Başlıkları
[dc.subject]
FDM
Konu Başlıkları
[dc.subject]
FEM
Konu Başlıkları
[dc.subject]
LSM
Konu Başlıkları
[dc.subject]
Nonlinear exterior wave problem
Haklar
[dc.rights]
info:eu-repo/semantics/closedAccess
ISSN
[dc.identifier.issn]
0955-7997
İlk Sayfa Sayısı
[dc.identifier.startpage]
574
Son Sayfa Sayısı
[dc.identifier.endpage]
580
Dergi Adı
[dc.relation.journal]
Engineering Analysis with Boundary Elements
Dergi Sayısı
[dc.identifier.issue]
6
Dergi Cilt Bilgisi
[dc.identifier.volume]
34
Tek Biçim Adres
[dc.identifier.uri]
https://dx.doi.org/10.1016/j.enganabound.2010.01.006
Tek Biçim Adres
[dc.identifier.uri]
https://hdl.handle.net/20.500.12628/5199
Görüntülenme Sayısı ( Şehir )
Görüntülenme Sayısı ( Ülke )
Görüntülenme Sayısı ( Zaman Dağılımı )
Görüntülenme
2
09.12.2022 tarihinden bu yana
İndirme
1
09.12.2022 tarihinden bu yana
Son Erişim Tarihi
06 Eylül 2023 16:45
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Tıklayınız
method boundary solution parameter region equation solved procedure solutions behaviours problems Elsevier examined methods proposed squares relaxation reserved numerical almost without direct Although preferred DRBEM+LSM rights accuracy DRBEM+FDM properties difference derivative Laplace fundamental applied (DRBEM)
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