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math.NA2020
Local Finite Element Approximation of Sobolev Differential Forms
Evan S. Gawlik, Michael J. Holst, Martin W. Licht
We address fundamental aspects in the approximation theory of vector-valued finite element methods, using finite element exterior calculus as a unifying framework. We generalize th…
math.NA2020★ 1 cited
Local sensitivity analysis of the `Membrane shape equation' derived from the Helfrich energy
P. Rangamani, A. Behzadan, M. Holst
The Helfrich energy is commonly used to model the elastic bending energy of lipid bilayers in membrane mechanics. The governing differential equations for certain geometric charact…