Meshfree‐enriched electromagnetic finite element formulation using nodal integration. (30th January 2014)

• Record Type: Journal Article
• Authors: Wang, Li‐Fang
• Is Part Of: International journal of numerical modelling. Volume 27:Number 4(2014:Jul./Aug.)
• Page Start: 669
• Page End: 681
• Publication Date: 2014-01-30
• Subjects: Electric networks -- Mathematical models -- Periodicals; Electronics -- Mathematical models -- Periodicals; 621.3011
• DOI: 10.1002/jnm.1940
• Languages: English
• ISSNs: 0894-3370

Abstract

<abstract abstract-type="main"> <title>ABSTRACT</title> <p>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 &amp; Sons, Ltd.</p> </abstract>