Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergent adaptive hybrid higher-order schemes for convex minimization   This paper proposes two convergent adaptive mesh-refining algorithms for the
hybrid high-order method in convex minimization problems with two-sided
p-growth. Examples include the p-Laplacian, an optimal design problem in
topology optimization, and the convexified double-well problem. The hybrid
high-order method utilizes a gradient reconstruction in the space of piecewise
Raviart-Thomas finite element functions without stabilization on triangulations
into simplices or in the space of piecewise polynomials with stabilization on
polytopal meshes. The main results imply the convergence of the energy and,
under further convexity properties, of the approximations of the primal resp.
dual variable. Numerical experiments illustrate an efficient approximation of
singular minimizers and improved convergence rates for higher polynomial
degrees. Computer simulations provide striking numerical evidence that an
adopted adaptive HHO algorithm can overcome the Lavrentiev gap phenomenon even
with empirical higher convergence rates.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
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The categories of this paper are: eess
29
The categories of this paper are: funct-an