Browsing Department of Mathematics & Statistics by Subject "Parabolic initial-boundary value problems"

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Space-time isogeometric analysis of parabolic evolution equations

Langer, Ulrich; Moore, Stephen E.; Neum¨ller, Martin (University of Cape Coast, 2015)

We present and analyze a new stable space-time Isogeometric Analysis (IgA) method for the numerical solution of parabolic evolution equations in fixed and moving spatial computational domains. The discrete bilinear form ...
Space-time multi-patch discontinuous galerkin isogeometric analysis for parabolic evolution problems

Moore, Stephen Edward (University of Cape Coast, 2015)

We present and analyze a stable space-time multi-patch discontinuous Galerkin Isogeometric Analysis (dG-IgA) scheme for the numerical solution of parabolic evolution equations in deforming space-time computational domains. ...
Time-multipatch discontinuous galerkin space-time isogeometric analysis of parabolic evolution problems

Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Toulopoulos, Ioannis (University of Cape Coast, 2018)

In this paper, we present a new time-multipatch discontinuous Galerkin Isogeometric Analysis (IgA) technology for solving parabolic initial-boundary problems in space and time simultaneously. We prove coercivity of the IgA ...

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