Institutional Repository [SANDBOX]
Technical University of Crete
EN  |  EL

Search

Browse

My Space

Discontinuous hermite collocation and diagonally implicit RK3 for a brain tumour invasion model

Saridakis Ioannis, Athanasakis Ioannis, Papadopoulou Eleni, Papadomanolaki Maria

Simple record


URIhttp://purl.tuc.gr/dl/dias/2B9407DA-314B-4ADB-A0C2-A439EEF26F54-
Identifierhttp://www.iaeng.org/publication/WCE2013/WCE2013_pp241-246.pdf-
Languageen-
Extent6 pagesen
TitleDiscontinuous hermite collocation and diagonally implicit RK3 for a brain tumour invasion modelen
CreatorSaridakis Ioannisen
CreatorΣαριδακης Ιωαννηςel
CreatorAthanasakis Ioannisen
CreatorΑθανασακης Ιωαννηςel
CreatorPapadopoulou Elenien
CreatorΠαπαδοπουλου Ελενηel
CreatorPapadomanolaki Mariaen
CreatorΠαπαδομανωλακη Μαριαel
Content SummaryOver the past years mathematical models, based on experimental data from MRI and CT scans, have been well developed to simulate the growth of aggressive forms of malignant brain tumours. The tumour growth model we are considering here, apart from proliferation and diffusion, is being characterized by a discontinuous diffusion coefficient to incorporate the heterogeneity of the brain tissue. For its numerical treatment by high order methods, we have developed a Discontinuous Hermite Collocation (DHC) finite element method, with appropriately discontinuous basis functions as- sociated with the discontinuity nodes, to discretize in space. In this work, together with the classical backward Euler and Crank Nicolson schemes, we also consider the deployment of a third order diagonally-implicit Runge-Kutta (RK3) scheme to discretize in time. Several numerical experiments are included to demonstrate the performance of the method. The numerical investigation conducted, reveals that the DHC-RK3 is an order O(τ3 +h4) scheme.en
Type of ItemΠλήρης Δημοσίευση σε Συνέδριοel
Type of ItemConference Full Paperen
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-16-
Date of Publication2013-
Bibliographic CitationI.E. Athanassakis, M.Papadomanolaki, E.P. Papadopoulou , Y. G. Saridakis.(2013). Discontinuous hermite collocation and diagonally implicit RK3 for a brain tumour mnvasion Model.Presented at Proceedings of the World Congress on Engineering .[online].Available: http://www.iaeng.org/publication/WCE2013/WCE2013_pp241-246.pdfen

Services

Statistics