𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An hp-adaptive finite element method for scattering problems in computational electromagnetics

✍ Scribed by W. Rachowicz; A. Zdunek

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
1010 KB
Volume
62
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

An hp‐adaptive finite element (FE) approach is presented for a reliable, efficient and accurate solution of 3D electromagnetic scattering problems. The radiation condition in the far field is satisfied automatically by approximation with infinite elements (IE). Near optimal discretizations that can effectively resolve local rapid variations in the scattered field are sought adaptively by mesh refinements blended with graded polynomial enrichments. The p‐enrichments need not be spatially isotropic. The discretization error can be controlled by a self‐adaptive process, which is driven by implicit or explicit a posteriori error estimates. The error may be estimated in the energy norm or in a quantity of interest. A radar cross section (RCS) related linear functional is used in the latter case. Adaptively constructed solutions are compared to pure uniform p approximations. Numerical, highly accurate, and fairly converged solutions for a number of generic problems are given and compared to previously published results. Copyright © 2004 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

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

An efficient finite element-boundary int
An efficient finite element-boundary integral method solving electromagnetic scattering problems
✍ Xiang An; Zhi-Qing Lü 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 447 KB 👁 1 views

## Abstract The “conventional” finite element‐boundary integral (FE‐BI) method suffers from two major drawbacks, one is the huge computer resources required by the dense BI submatrix; the other is the slow convergence rate of the resulting linear system of equations. In this article, both the drawb

An adaptive hp-version of the finite ele
An adaptive hp-version of the finite element method applied to flame propagation problems
✍ V. China Venkata Rao; P. C. Das; T. Sundararajan 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 409 KB 👁 2 views

This paper describes an adaptive hp-version mesh reÿnement strategy and its application to the ÿnite element solution of one-dimensional ame propagation problems. The aim is to control the spatial and time discretization errors below a prescribed error tolerance at all time levels. In the algorithm,