ADAPTIVE DISCONTINUOUS GALERKIN FINITE ELEMENTS FOR ADVECTIVE ALLEN-CAHN EQUATION
[ X ]
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We apply a space adaptive interior penalty discontinuous Galerkin method for solving advective Allen-Cahn equation with expanding and contracting velocity fields. The advective Allen-Cahn equation is first discretized in time and the resulting semi-linear elliptic PDE is solved by an adaptive algorithm using a residual-based a posteriori error estimator. The a posteriori error estimator contains additional terms due to the non-divergence-free velocity field. Numerical examples demonstrate the effectiveness and accuracy of the adaptive approach by resolving the sharp layers accurately.
Açıklama
Anahtar Kelimeler
Advective Allen-Cahn equation, discontinuous Galerkin method, Rothe's method, adaptivity
Kaynak
Numerical Algebra Control and Optimization
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
11
Sayı
2
