Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical shape optimization of the Canham-Helfrich-Evans bending energy   In this paper we propose a novel numerical scheme for the
Canham-Helfrich-Evans bending energy based on a three-field lifting procedure
of the distributional shape operator to an auxiliary mean curvature field.
Together with its energetic conjugate scalar stress field as Lagrange
multiplier the resulting fourth order problem is circumvented and reduced to a
mixed saddle point problem involving only second order differential operators.
Further, we derive its analytical first variation (also called first shape
derivative), which is valid for arbitrary polynomial order, and discuss how the
arising shape derivatives can be computed automatically in the finite element
software NGSolve. We finish the paper with several numerical simulations
showing the pertinence of the proposed scheme and method.

9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat