MS638 Error estimation and modeling adaptation in computational mechanics

undefinedL. Chamoin1, P. Ladeveze1, P. Diez2, M. Ainsworth3
1ENS Cachan/FR, 2Universitat Politecnica de Catalunya/ES, 3University of Strathclyde/UK


A persistent trend in computational science and engineering is that problems become larger in scale and mathematical models more complex, thus requiring robust and accurate error estimation, as well as dedicated adaptive strategies. Nowadays, the field of error estimation and adaptivity, known as model verification, goes beyond classical discretization errors and mesh refinement. It presently includes adaptive modeling i.e. the control of surrogate mathematical models with respect to their reference models; it also focuses on specific aspects such as goal-oriented procedures or the computation of guaranteed (upper and lower) error bounds for a large class of physical problems. Therefore, the objective of this mini-symposium is to present recent fundamental contributions to error estimation and adaptive methods that aim to control effectively the various models used for simulation purposes.


This mini-symposium includes (but it not restricted to) the following topics : 

  1. goal-oriented and adjoint/duality-based error estimators; 
  2. methods leading to guaranteed error bounds; 
  3. construction of equilibrated fields; 
  4. hierarchical, reduced-order and multiscale modeling; 
  5. error estimation and adaptive schemes in uncertainty quantification; 
  6. applications to linear, nonlinear, coupled, or time-dependent problems.



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