Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An interface-unfitted finite element method for elliptic interface
  optimal control problem   This paper develops and analyses numerical approximation for linear-quadratic
optimal control problem governed by elliptic interface equations. We adopt
variational discretization concept to discretize optimal control problem, and
apply an interface-unfitted finite element method due to [A. Hansbo and P.
Hansbo. An unfitted finite element method, based on Nitsche's method, for
elliptic interface problems. Comput. Methods Appl. Mech. Engrg., 191(47-48):
5537-5552, 2002] to discretize corresponding state and adjoint equations, where
piecewise cut basis functions around interface are enriched into standard
conforming finite element space. Optimal error estimates in both $L^2$ norm and
a mesh-dependent norm are derived for optimal state, co-state and control under
different regularity assumptions. Numerical results verify the theoretical
results.

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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph