A space-time discontinuous galerkin method for linear hyperbolic PDE's with high frequencies
Göster/ Aç
Erişim
info:eu-repo/semantics/openAccessAttribution 3.0 United Stateshttp://creativecommons.org/licenses/by/3.0/us/Tarih
2020Üst veri
Tüm öğe kaydını gösterKünye
Toprakseven, Ş. (2020). AA space-time discontinuous galerkin method for linear hyperbolic PDE's with high frequencies. Communications Series A1 Mathematics & Statistics, 69(1), 213-231.doi:10.31801/cfsuasmas.544522.Özet
The main purpose of this paper is to describe a space-time discontinuous Galerkin (DG) method based on an extended space-time approximation space for the linear Örst order hyperbolic equation that contains a
high frequency component. We extend the space-time DG spaces of tensorproduct of polynomials by adding trigonometric functions in space and time
that capture the oscillatory behavior of the solution. We construct the method
by combining the basic framework of the space-time DG method with the extended Önite element method. The basic principle of the method is integrating
the features of the partial di§erential equation with the standard space-time
spaces in the approximation. We present error analysis of the proposed spacetime DG method for the linear Örst order hyperbolic problems. We show that
the new space-time DG approximation has an improvement in the convergence
compared to the space-time DG schemes with tensor-product polynomials. Numerical examples verify the theoretical Öndings and demonstrate the e§ects of
the proposed method.
Kaynak
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and StatisticsCilt
69Sayı
1Bağlantı
https://hdl.handle.net/11494/2123Koleksiyonlar
Aşağıdaki lisans dosyası bu öğe ile ilişkilidir: