Uncertainty quantification in a chemical system using error estimate-based mesh adaption

DOI10.1007/s00162-010-0210-xzbMath1294.92033OpenAlexW2037651733MaRDI QIDQ400481

Lionel Mathelin, Olivier P. Le Maître

Publication date: 22 August 2014

Published in: Theoretical and Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00162-010-0210-x

zbMATH Keywords

adaptive mesh refinementerror analysisuncertainty quantificationpolynomial chaosstochastic finite elements method

Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30) Classical flows, reactions, etc. in chemistry (92E20) Chemically reacting flows (80A32) Reaction effects in flows (76V05)

Related Items (1)

Multiscale stochastic preconditioners in non-intrusive spectral projection

Uses Software

• VODE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multi-resolution analysis of Wiener-type uncertainty propagation schemes
• Stochastic finite element modelling in linear transient heat transfer
• Probabilistic characterization of transport in heterogeneous media
• A stochastic projection method for fluid flow. II: Random process
• Modeling uncertainty in flow simulations via generalized polynomial chaos.
• Dual-based a posteriori error estimate for stochastic finite element methods
• An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
• A variance reduction method based on sensitivity derivatives
• Sequential Monte Carlo Samplers
• An optimal control approach to a posteriori error estimation in finite element methods
• Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures
• Uncertainty quantification in chemical systems
• VODE: A Variable-Coefficient ODE Solver
• Stabilized Finite Elements on Anisotropic Meshes: A Priori Error Estimates for the Advection-Diffusion and the Stokes Problems
• Natural Convection in a Closed Cavity under Stochastic Non-Boussinesq Conditions
• Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
• Multi‐Resolution‐Analysis Scheme for Uncertainty Quantification in Chemical Systems
• The Homogeneous Chaos
• Solution of stochastic partial differential equations using Galerkin finite element techniques

This page was built for publication: Uncertainty quantification in a chemical system using error estimate-based mesh adaption