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A Note on the MLS Method

Răzvan Răducanu

Abstract


The present paper continues the work of a previous paper [7] which introduced the Moving Least Squares (MLS) method in electrostatics. It presents the equations of the linear electrostatics, and the main features of the MLS method. The MLS method is used to solve a one-dimensional problem in the context of linear electrostatics, and an algorithm for implementing numerically this method is proposed. Finally, a numerical example is proposed and the exact solution is compared with the
approximate one. An error analysis in energy norm is also provided.

Keywords


Meshless methods, electrostatics, numeric analysis

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