Presented by:
James Jackaman
Date:
Friday 12th July 2019 - 10:00 to 10:30
Venue:
INI Seminar Room 1
Event:
Abstract:
Through
the mathematical construction of finite element methods, the “standard”
finite element method will often preserve the underlying symmetry of a given
differential equation. However, this is not always the case, and while
historically much attention has been paid to the preserving of conserved
quantities the preservation of Lie symmetries is an open problem. We
introduce a methodology for the design of arbitrary order finite element
methods which preserve the underlying Lie symmetries through an equivariant
moving frames based invariantization procedure.
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