Search

Our systems are now restored following recent technical disruption, and we’re working hard to catch up on publishing. We apologise for the inconvenience caused. Find out more: https://www.cambridge.org/universitypress/about-us/news-and-blogs/cambridge-university-press-publishing-update-following-technical-disruption

Skip to main content Accessibility help

Home
Search

Only show content I have access to (0)

Articles (1)

Over 3 years (1)

From year:

To year:

Apply

Mathematics (1)

numericalsimulations.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

1 results

Numerical analysis of the quasistatic thermoviscoelastic thermistor problem
José R. Fernández
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 40 / Issue 2 / March 2006

Published online by Cambridge University Press:

21 June 2006, pp. 353-366

Print publication:

March 2006
- Article
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation
In this work, the quasistatic thermoviscoelastic thermistor problem isconsidered. The thermistor model describes the combination of the effects due tothe heat, electrical current conduction and Joule's heat generation. The variationalformulation leads to a coupled system of nonlinear variational equations for whichthe existence of a weak solution is recalled.Then, a fully discrete algorithm is introduced based on the finite elementmethod to approximate the spatial variable and an Euler scheme to discretizethe time derivatives. Error estimates are derived and, under suitableregularity assumptions, the linear convergence of the scheme is deduced.Finally, some numerical simulations are performed in order to show the behaviourof the algorithm.

Search Results

Refine search

Refine search

Actions for selected content:

1 results

Numerical analysis of the quasistatic thermoviscoelastic thermistor problem

Search Results

Refine search

Refine search

Actions for selected content:

Save Search

1 results

Numerical analysis of the quasistatic thermoviscoelastic thermistor problem