Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Extended B-Spline Finite Element Analysis of a coupled system
  of general Elliptic equations   In this study we establish the existence and uniqueness of the solution of a
coupled system of general elliptic equations with anisotropic diffusion ,
non-uniform advection and variably influencing reaction terms on Lipschitz
continuous domain $\Omega \subset \mathbb{R}^m $ (m$\geq$1) with a Dirichlet
boundary. Later we consider the finite element (FE) approximation of the
coupled equations in a meshless framework based on weighted extended B-Spine
functions (WEBS).The a priori error estimates corresponding to the finite
element analysis are derived to establish the convergence of the corresponding
FE scheme and the numerical methodology has been tested on few examples.

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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph