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Meshfree‐enriched electromagnetic finite element formulation using nodal integration
Author(s) -
Wang LiFang
Publication year - 2014
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1940
Subject(s) - finite element method , smoothed finite element method , diffuse element method , mixed finite element method , extended finite element method , galerkin method , meshfree methods , mathematics , compressibility , constraint (computer aided design) , boundary knot method , finite element limit analysis , mathematical analysis , mathematical optimization , computer science , geometry , physics , structural engineering , boundary element method , mechanics , engineering
This paper presents a meshfree‐enriched finite element formulation using nodal integration for electrostatic analysis. The meshfree‐enriched finite element method, originally proposed to solve the incompressible constraint in mechanical problem, is revisited in this paper and applied to the analysis of electrostatic problems to improve the solution accuracy of conventional finite element method. A novel nodal integration scheme based on the meshfree‐enriched finite element mesh is developed for the integration of discrete equation and is shown to pass the linear exactness in the Galerkin approximation. To demonstrate the accuracy of the proposed formulation, two numerical examples are studied and comparisons are made to several other finite element formulations. Copyright © 2014 John Wiley & Sons, Ltd.