Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularized boundary element/finite element coupling for a nonlinear
  interface problem with nonmonotone set-valued transmission conditions   For the first time, a nonlinear interface problem on an unbounded domain with
nonmonotone set-valued transmission conditions is analyzed. The investigated
problem involves a nonlinear monotone partial differential equation in the
interior domain and the Laplacian in the exterior domain. Such a scalar
interface problem models nonmonotone frictional contact of elastic infinite
media. The variational formulation of the interface problem leads to a
hemivariational inequality, which lives on the unbounded domain, and so cannot
be treated numerically in a direct way. By boundary integral methods the
problem is transformed and a novel hemivariational inequality (HVI) is obtained
that lives on the interior domain and on the coupling boundary, only. Thus for
discretization the coupling of finite elements and boundary elements is the
method of choice. In addition smoothing techniques of nondifferentiable
optimization are adapted and the nonsmooth part in the HVI is regularized. Thus
we reduce the original variational problem to a finite dimensional problem that
can be solved by standard optimization tools. We establish not only convergence
results for the total approximation procedure, but also an asymptotic error
estimate for the regularized HVI.

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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol