126 citations · 181 across the 14 of their papers we have counts for
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math.NA2023
On discrete analogues of potential vorticity for variational shallow water systems
Elizabeth L. Mansfield
We outline how discrete analogues of the conservation of potential vorticity may be achieved in Finite Element numerical schemes for a variational system which has the particle rel…
math.NA2012★ 1 cited
Noether type discrete conserved quantities arising from a finite element approximation of a variational problem
Elizabeth Mansfield, Tristan Pryer
In this work we prove a weak Noether type theorem for a class of variational problems which include broken extremals. We then use this result to prove discrete Noether type conserv…
math.NA2010
Discrete Variational Calculus for B-spline Approximated Curves
Jun Zhao, Elizabeth Mansfield
We study variational problems for curves approximated by B-spline curves. We show that, one can obtain discrete Euler-Lagrange equations, for the data describing the approximated c…