𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An operator method for a numerical quadrature finite element method for a Maxwell-eigenvalue problem

✍ Scribed by Wouter Hamelinck; Roger Van Keer

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
160 KB
Volume
30
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We consider a Maxwell‐eigenvalue problem on a brick. As is well known, we need to pay special attention to avoiding the so‐called spurious eigenmodes. We extend the results obtained in (SIAM J. Numer. Anal. 2000; 38:580–607) to include the use of numerical quadrature. For simplicity, we restrict ourselves to a Gauss–Lobatto integration scheme. The numerical quadrature variational problem can be recasted in an operator form. The main goal of the article consists of proving that a set of necessary and sufficient conditions for spurious freeness remain valid while using numerical quadrature with sufficient precision. Copyright © 2007 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

A quadrature finite element method for s
A quadrature finite element method for semilinear second-order hyperbolic problems
✍ K. Mustapha; H. Mustapha 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 178 KB

## Abstract In this work we propose and analyze a fully discrete modified Crank–Nicolson finite element (CNFE) method with quadrature for solving semilinear second‐order hyperbolic initial‐boundary value problems. We prove optimal‐order convergence in both time and space for the quadrature‐modified

Numerical analysis of a mixed finite ele
Numerical analysis of a mixed finite element method for a flow-transport problem
✍ S.-H. Chou; Q. Li 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 502 KB

We consider a generic flow-transport system of partial differential equations, which has wide application in the waste disposal industry. The approximation of this system, using a finite element method for the brine, radionuclides, and heat combined with a mixed finite element method for the pressur

A computational method for frictional co
A computational method for frictional contact problem using finite element method
✍ Seok-Soon Lee 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 476 KB

Using the finite element method a numerical procedure is developed for the solution of the two-dimensional frictional contact problems with Coulomb's law of friction. The formulation for this procedure is reduced to a complementarity problem. The contact region is separated into stick and slip regio

A time-marching finite element method fo
A time-marching finite element method for an electromagnetic scattering problem
✍ Tri Van; Aihua Wood 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 182 KB 👁 1 views

## Abstract In this paper, Newmark time‐stepping scheme and edge elements are used to numerically solve the time‐dependent scattering problem in a three‐dimensional polyhedral cavity. Finite element methods based on the variational formulation derived in Van and Wood (__Adv. Comput. Math.__, to app