70 citations · 93 across the 11 of their papers we have counts for
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math.NA2013★ 3 cited
Unfitted finite element methods using bulk meshes for surface partial differential equations
Klaus Deckelnick, Charles M. Elliott, Thomas Ranner
In this paper, we define new unfitted finite element methods for numerically approximating the solution of surface partial differential equations using bulk finite elements. The ke…
math.NA2013★ 70 cited
Evolving surface finite element method for the Cahn-Hilliard equation
Charles M. Elliott, Thomas Ranner
We use the evolving surface finite element method to solve a Cahn- Hilliard equation on an evolving surface with prescribed velocity. We start by deriving the equation using a cons…