Geometric formulation of edge and nodal finite element equations in electromagnetics
نویسندگان
چکیده
منابع مشابه
Algebraic multigrid for finite element elasticity equations: Determination of nodal dependence via edge matrices and two-level convergence
We study an algebraic multigrid (AMG) method for solving elliptic finite element equations of linear elasticity problems. In this method, which has been proposed in [J.K. Kraus, SIAM J. Sci. Comput., 30 (2008), pp. 505–524], the coarsening is based on so-called edge matrices, which allows to generalize the concept of strong and weak connections, as used in classical AMG, to “algebraic vertices”...
متن کاملA finite element formulation for the hydrodynamic semiconductor device equations
A new formulation employing the Galerkin/least-squares finite element method is presented for the simulation of the hydrodynamic model of semiconductor devices. Numerical simulations are performed on the coupled Poisson and hydrodynamic equations for one carrier devices. The hydrodynamic equations for a single carrier, i.e. for the electrons or holes, resemble the compressible Navier-Stokes equ...
متن کاملEvaluation of Fracture Parameters by Coupling the Edge-Based Smoothed Finite Element Method and the Scaled Boundary Finite Element Method
This paper presents a technique to evaluate the fracture parameters by combining the edge based smoothed finite element method (ESFEM) and the scaled boundary finite element method (SBFEM). A semi-analytical solution is sought in the region close to the vicinity of the crack tip using the SBFEM, whilst, the ESFEM is used for the rest of the domain. As both methods satisfy the partition of unity...
متن کاملIntroduction to the Finite Element Method in Electromagnetics
The an introduction to the finite element method in electromagnetics that we provide for you will be ultimate to give preference. This reading book is your chosen book to accompany you when in your free time, in your lonely. This kind of book can help you to heal the lonely and get or add the inspirations to be more inoperative. Yeah, book as the widow of the world can be very inspiring manners...
متن کاملBlock Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD
The scalable iterative solution of strongly coupled three-dimensional incompressible resistive magnetohydrodynamics (MHD) equations is very challenging because disparate time scales arise from the electromagnetics, the hydrodynamics, as well as the coupling between these systems. This study considers a mixed finite element discretization of a dual saddle point formulation of the incompressible ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
سال: 2012
ISSN: 0332-1649
DOI: 10.1108/03321641211246392