Reduced approximation for opirator with time in parabolic problems case
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
This work is devoted to singular perturbation of the parabolic equation with discontinuous coeffcients for the time operator. For P1-P0 finite element, by using a reduction of the approximation order for the time differential operator, we propose a numerical method which does not have any oscillations in the neighborhood of the coefficient discontinuity. Error estimates of order tow with respect to space are provided, and we have compared this method with the modified second member method (T.T. Cuc Bui, 2008). Euler explicit and implicit time schemes are proposed, and by considering a toy problem, the order one and tow of convergence with respect to time and space is checked.
Açıklama
Anahtar Kelimeler
Singular mass matrix, Error estimates, Degenerate operator
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Berkane, A. ve Belhout, M. (2019). Reduced approximation for opirator with time in parabolic problems case. International Conference of Mathematical Sciences (ICMS 2019). s. 32.
