Adaptive Discontinuous Galerkin Finite Elements for Advective Allen-Cahn Equation

Autor:	Uzunca, Murat, Sar��ayd��n-Filibelio��lu, Ay��e
Rok vydání:	2019
Předmět:	FOS: Mathematics Numerical Analysis (math.NA) Mathematics::Numerical Analysis
DOI:	10.48550/arxiv.1901.05317
Popis:	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. Accepted paper in "Numerical Algebra, Control & Optimization"
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ffa858e29855fb5ac9f0b0da52bbd0c4 Zobrazit plný text záznamu