Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials: I. Error estimates and adaptive algorithms

By T. Oden, Kumar S. VemagantiTexas. 2000

248 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8171678a39b36e1391feb90c32b81179fd4d0987

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Jacob Fish
2. Caglar Oskay

In Computational Theory and Mathematics

1. Jacob Fish
2. Caglar Oskay
3. Ted Belytschko
4. Jeong‐Hoon Song
5. H. Askes
6. Elias C. Aifantis

In Mechanics of Materials

1. Jacob Fish
2. Caglar Oskay
3. Ted Belytschko
4. Jeong‐Hoon Song
5. H. Askes
6. Elias C. Aifantis
7. Mgd Marc Geers
8. Zheng Yuan

Citations in the corpus

• Bridging the scales in nano engineering and science (2006, methodology): “An alternative approach, which estimates modelling errors in so-called quantities of interest has been developed in Oden et al. (2005). Upper and lower bounds of modelling errors in local quantities of interest for this class of problems were developed in Oden and Vemaganti (2000) and model adaptivi”
• Eigendeformation-based reduced order homogenization for failure analysis of heterogeneous materials (2007, methodology): “We presented a heuristic approach to adaptivity, but certainly a more rigorous framework based on error analysis in quantities of interest would be advantageous [51].”