Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes

In this article, we discuss and analyze new conforming virtual element methods (VEMs) for the approximation of semilinear parabolic problems on convex polygonal meshes in two spatial dimension. The spatial discretization is based on polynomial and suitable nonpolynomial functions, and a Euler backwa...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Numerical methods for partial differential equations 2019-01, Vol.35 (1), p.222-245
Hauptverfasser:	Adak, Dibyendu, Natarajan, E., Kumar, Sarvesh
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Convergence Discretization error estimates Functions (mathematics) Mathematical analysis Norms numerical experiments polygonal mesh Polynomials virtual element method
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!