Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You and Your Team.

Learn More →

Solution of 3D singular electrostatics problems using adaptive hp ‐FEM

Solution of 3D singular electrostatics problems using adaptive hp ‐FEM Purpose – This paper seeks to describe the solution of a simple electrostatic problem using an adaptive hp ‐FEM and to show the benefits of this approach. Numerical experiments are presented to demonstrate its superiority. Design/methodology/approach – Adaptive hp ‐FEM is used. In contrast with standard FEM, the automatic adaptivity procedure can choose from a variety of refinement candidates. An element with over estimated error can be refined in space, or its polynomial degree can be increased. Arbitrary level hanging nodes are allowed, so that no unnecessary refinements are performed in order to keep a mesh regular. Findings – Numerical solution of a singular electrostatic problem is presented. From the comparison it can be seen that the hp ‐FEM outperforms both the standard linear and quadratic elements significantly. The accuracy of an hp ‐FEM solution would be hard to attain by standard means due to the limited capacity of the computer memory. Originality/value – The paper describes results obtained from an original and innovative implementation of the adaptive hp ‐FEM. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

Loading next page...
 
/lp/emerald-publishing/solution-of-3d-singular-electrostatics-problems-using-adaptive-hp-fem-ONdN6A0rEk
Publisher
Emerald Publishing
Copyright
Copyright © 2008 Emerald Group Publishing Limited. All rights reserved.
ISSN
0332-1649
DOI
10.1108/03321640810878360
Publisher site
See Article on Publisher Site

Abstract

Purpose – This paper seeks to describe the solution of a simple electrostatic problem using an adaptive hp ‐FEM and to show the benefits of this approach. Numerical experiments are presented to demonstrate its superiority. Design/methodology/approach – Adaptive hp ‐FEM is used. In contrast with standard FEM, the automatic adaptivity procedure can choose from a variety of refinement candidates. An element with over estimated error can be refined in space, or its polynomial degree can be increased. Arbitrary level hanging nodes are allowed, so that no unnecessary refinements are performed in order to keep a mesh regular. Findings – Numerical solution of a singular electrostatic problem is presented. From the comparison it can be seen that the hp ‐FEM outperforms both the standard linear and quadratic elements significantly. The accuracy of an hp ‐FEM solution would be hard to attain by standard means due to the limited capacity of the computer memory. Originality/value – The paper describes results obtained from an original and innovative implementation of the adaptive hp ‐FEM.

Journal

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic EngineeringEmerald Publishing

Published: Jul 11, 2008

Keywords: Simulation; Finite element analysis; Meshes; Electrostatics

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$499/year

Save searches from
Google Scholar,
PubMed

Create folders to
organize your research

Export folders, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month