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arXiv · 1806.10191

Weighted Extended B-Spline Finite Element Analysis of a coupled system of general Elliptic equations

Ayan Chakraborty·BV. Rathish Kumar
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Abstract

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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Ayan Chakraborty, BV. Rathish Kumar. 2018-06-24. Weighted Extended B-Spline Finite Element Analysis of a coupled system of general Elliptic equations. https://arxiv.org/abs/1806.10191

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