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Title:
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Enhanced goal-oriented error assessment and computational strategies in adaptive reduced basis solver for stochastic problems
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Author:
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Serafin, Kevin; Magnain, Benoît; Florentin, Eric; Parés Mariné, Núria; Díez, Pedro
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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This work focuses on providing accurate low-cost approximations of stochastic ¿nite elements simulations in the framework of linear elasticity. In a previous work, an adaptive strategy was introduced as an improved Monte-Carlo method for multi-dimensional large stochastic problems. We provide here a complete analysis of the method including a new enhanced goal-oriented error estimator and estimates of CPU (computational processing unit) cost gain. Technical insights of these two topics are presented in details, and numerical examples show the interest of these new developments. |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística
-Applications of mathematics
-Stochastic models
-reduced basis
-adaptivity
-stochastic modeling
-goal-oriented error assessment
-Models estocàstics
-Aplicacions (Matemàtica) |
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Rights:
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Document type:
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Article - Submitted version
Article |
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Published by:
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John Wiley & Sons
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