Robust goal-oriented error estimation based on the constitutive relation error for stochastic problems

Autor: Ludovic Chamoin, Vincent Visseq, Sylvain Pavot, Eric Florentin
Přispěvatelé: Laboratoire de Mécanique et Technologie (LMT), École normale supérieure - Cachan (ENS Cachan)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS), Modélisation Mathématique en Mécanique (M3), Laboratoire de Mécanique et Génie Civil (LMGC), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-École normale supérieure - Cachan (ENS Cachan)
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Mathematical optimization
Current (mathematics)
Stochastic modelling
Constitutive equation
02 engineering and technology
[SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]
01 natural sciences
[PHYS.MECA.STRU]Physics [physics]/Mechanics [physics]/Structural mechanics [physics.class-ph]
0203 mechanical engineering
Bounding overwatch
[PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph]
General Materials Science
0101 mathematics
stochastic models
Civil and Structural Engineering
Mathematics
Estimation
Goal orientation
Mechanical Engineering
strict bounds
Pillar
Computer Science Applications
010101 applied mathematics
020303 mechanical engineering & transports
goal-oriented error estimation
[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph]
Modeling and Simulation
model verification
Round-off error
Zdroj: Computers & Structures
Computers & Structures, 2012, 106-107, pp.189-195. ⟨10.1016/j.compstruc.2012.05.002⟩
Computers and Structures
Computers and Structures, Elsevier, 2012, 106-107, pp.189-195. ⟨10.1016/j.compstruc.2012.05.002⟩
ISSN: 0045-7949
1879-2243
Popis: International audience; In this paper, we aim at extending to stochastic models a general and robust goal-oriented error estimation method presented in previous works. This method, which is based on the constitutive relation error and classical extraction techniques, enables to obtain strict bounds on quantities of interest. In the stochastic framework, several aspects are revisited in the current paper:(i) the construction of admissible elds, which is a pillar of the constitutive relation error; (ii) the error bounding itself; (iii) the splitting of error sources that may enable to drive adaptive procedures e ectively. Performances of the proposed approach are illustrated on two-dimensional applications.
Databáze: OpenAIRE
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