Solving boundary value problems using the generalized (partition of unity) finite element method

Author

Lu, C. ; Shanker, B.

Author_Institution

Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI

Volume

1B

fYear

2005

fDate

2005

Firstpage

125

Abstract

The principal contribution of this paper is two folds: (i) it fully details the implementation scheme for implementing GFEM for the Helmholz equation; (ii) it formulates the Nitsche´s method (S. Fernandez-Mendez and A. Huerte, 2004) for implementing the Dirichlet boundary condition. This paper proceeds along the following lines; in the next section, we formulate the problem. Here we introduce the concepts and implementation of GFEM. Then, we prescribe the manner in which various boundary conditions can be implemented. Finally, we demonstrate the accuracy and convergence of the GFEM via a series of analytical comparisons

Keywords

Helmholtz equations; boundary-value problems; computational electromagnetics; finite element analysis; Dirichlet boundary condition; GFEM; Helmholz equation; boundary value problems; generalized finite element method; Bismuth; Boundary conditions; Boundary value problems; Convergence; Differential equations; Electromagnetic fields; Electromagnetic modeling; Finite element methods; Magnetic fields; Poisson equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2005 IEEE

Conference_Location

Washington, DC

Print_ISBN

0-7803-8883-6

Type

conf

DOI

10.1109/APS.2005.1551500

Filename

1551500