Title :
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
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;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2005 IEEE
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-8883-6
DOI :
10.1109/APS.2005.1551500
