r4.10.05 Residual error indicator for HM models

Summary

In this document, the a posteriori error indicators developed for HM models are presented. The a posteriori estimate in question is of the explicit residual type. First of all, a framework is provided for the retrospective study of these problems. The families of error indicators for the two types of problems are then presented and the theoretical results of reliability and optimality that guarantee the validity of the indicators are stated. The proofs of the announced results will not be given, the interested reader can consult [1] for this.

Table of Contents

• 1. Work environment
  • 1.1. The continuous model problem
  • 1.2. Dimensioning
  • 1.3. Finite element discretization and notations
• 2. Study of the transitory problem
• 3. Use in Code_Aster
• 4. Conclusion - Perspective
• 5. Bibliography
• 6. Document version history