This research investigates residual-based a posteriori error estimates for finite element approximations of heat conduction in single-layer and multi-layered materials. The finite element approximation, based upon hierarchical modelling combined with p-version finite elements, is described with specific application to a two-dimensional, steady state, heat-conduction problem. Element error indicators are determined by solving an element equation for the error with the element residual as a source, and a global error estimate in the energy norm is computed by collecting the element contributions. Numerical results of the performance of the error estimate are presented by comparisons to the actual error. Two methods are discussed and compared for approximating the element boundary flux. The equilibrated flux method provides more accurate results for estimating the error than the average flux method. The error estimation is applied to multi-layered materials with a modification to the equilibrated flux method to approximate the discontinuous flux along a boundary at the material interfaces. A directional error indicator is developed which distinguishes between the hierarchical modeling error and the finite element error. Numerical results are presented for single-layered materials which show that the directional indicators accurately determine which contribution to the total error dominates.

"About this title" may belong to another edition of this title.

Store Description

Visit Seller's Storefront

Seller's business information

RAREWAVES.COM LIMITED
Elsley Court, 20-22 Great Titchfield Street, London, W1W 8BE, United Kingdom

Sale & Shipping Terms

Terms of Sale

Shipping Terms

Please note that we do not offer Priority shipping to any country.

We currently do not ship to the below countries:

Russia
Belarus
Ukraine

Please do not attempt to place orders with any of these countries as a ship to address - they will be cancelled.

Shipping rates from United Kingdom to U.S.A.

Shipping rates from United Kingdom to U.S.A.
Order quantity	60 to 60 business days	60 to 60 business days
First item	US$ 88.03	US$ 135.43

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.