A stable space-time finite element method for parabolic evolution problems

dc.contributor.author	Moore, Stephen Edward
dc.date.accessioned	2021-08-26T10:02:08Z
dc.date.available	2021-08-26T10:02:08Z
dc.date.issued	2018
dc.identifier.issn	23105496
dc.identifier.uri	http://hdl.handle.net/123456789/5961
dc.description	19p:, ill.	en_US
dc.description.abstract	This paper is concerned with the analysis of a new stable space-time finite element method (FEM) for the numerical solution of parabolic evolution problems in moving spatial computational domains. The discrete bilinear form is elliptic on the FEM space with respect to a discrete energy norm. This property together with a corresponding boundedness property, consistency and approximation results for the FEM spaces yield an a priori discretization error estimate with respect to the discrete norm. Finally, we confirm the theoretical results with numerical experiments in spatial moving domains	en_US
dc.language.iso	en	en_US
dc.publisher	University of Cape Coast	en_US
dc.subject	Finite element method	en_US
dc.subject	Space-time	en_US
dc.subject	Parabolic evolution problem	en_US
dc.subject	Moving spatial computational domains	en_US
dc.subject	A priori discretization error estimates	en_US
dc.title	A stable space-time finite element method for parabolic evolution problems	en_US
dc.type	Article	en_US