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inverted elements method

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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1 results

Inverted finite elements: a new method for solving elliptic problems in unbounded domains
Tahar Zamène Boulmezaoud
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 39 / Issue 1 / January 2005

Published online by Cambridge University Press:

15 March 2005, pp. 109-145

Print publication:

January 2005
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In this paper, we propose a new numerical method for solving elliptic equations in unbounded regions of ${\mathbb{R}}^n$. The method is based on the mapping of a part of the domain into a bounded region. An appropriate family of weighted spaces is used for describing the growth or the decay of functions at large distances. After exposing the main ideas of the method, we analyse carefully its convergence. Some 3D computational results are displayed to demonstrate its efficiency and its high performance.