Numerical methods for problems of phase separation

Chantzaras, Lampros; Χαντζάρας, Λάμπρος

dc.contributor.author	Chantzaras, Lampros	en
dc.contributor.author	Χαντζάρας, Λάμπρος	el
dc.date.accessioned	2024-04-15T11:28:39Z
dc.date.available	2024-04-15T11:28:39Z
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/59194
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.26890
dc.rights	Default License
dc.subject	Phase separation	en
dc.subject	Finite element method	en
dc.subject	Cahn Hilliard	en
dc.title	Numerical methods for problems of phase separation	en
heal.type	masterThesis
heal.classification	Numerical methods for PDEs	en
heal.language	en
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2023-11-23
heal.abstract	Numerical methods that are developed for the Cahn-Hilliard equation often should take into account the nonlinearity in the system, the presence of the small parameter (thickness of the interface), and the different time scales that characterise the concentration evolution. Resolution schemes require proper scaling of numerical parameters, such as the spatial mesh size h and often adaptive time stepping techniques for the time step size k, relative to the interaction length . The aim of this thesis, is to present a range of the main numerical methods that have been applied to the mixed finite element approximation of the solution to the Cahn-Hilliard equation problems. These numerical schemes offer different orders of accuracy in time and vary also regarding their numerical stability and the solvability of the time discrete equations that arise. Fundamental ideas like the convex splitting are also illustrated, as their significance and versatillity has become central in the study of numerical schemes for the Cahn Hilliard equation.	en
heal.advisorName	Kavousanakis, Michalis	en
heal.committeeMemberName	Kokkoris, George	en
heal.committeeMemberName	Spyropoulos, Antonis	en
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Μηχανολόγων Μηχανικών	el
heal.academicPublisherID	ntua
heal.fullTextAvailability	false