Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures.
An a posteriori error estimator is developed for the eigenvalue analysis of three-dimensional heterogeneous elastic structures. It constitutes an extension of a well-known explicit estimator to heterogeneous structures. We prove that our estimates are independent of the variations in material properties and independent of the polynomial degree of finite elements. Finally, we study numerically the effectivity of this estimator on several model problems.
- Research Organization:
- Sandia National Laboratories
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC04-94AL85000
- OSTI ID:
- 923176
- Report Number(s):
- SAND2005-4237
- Country of Publication:
- United States
- Language:
- English
Similar Records
Robust a posteriori error estimation for finite element approximation to H(curl) problem
A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces
Journal Article
·
Wed Jun 15 20:00:00 EDT 2016
· Computer Methods in Applied Mechanics and Engineering
·
OSTI ID:1466146
A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces
Journal Article
·
Fri Oct 31 00:00:00 EDT 2008
· Computer Methods in Applied Mechanics and Engineering
·
OSTI ID:1090873