An alternative unsteady adaptive stochastic finite element formulation based on interpolation at constant phase

DOI10.1016/j.cma.2008.09.005zbMath1228.74098OpenAlexW1992342827MaRDI QIDQ653649

Jeroen A. S. Witteveen, Hester Bijl

Publication date: 19 December 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2008.09.005

zbMATH Keywords

fluid-structure interactionuncertainty quantificationrandom parametersunsteady problemsstochastic finite elements

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items

Effect of randomness on multi-frequency aeroelastic responses resolved by unsteady adaptive stochastic finite elements ⋮ Enforcing positivity in intrusive PC-UQ methods for reactive ODE systems ⋮ Time-dependent generalized polynomial chaos ⋮ Analysis of a nonlinear aeroelastic system with parametric uncertainties using polynomial chaos expansion ⋮ An alternative unsteady adaptive stochastic finite element formulation based on interpolation at constant phase ⋮ The stochastic finite element method: past, present and future ⋮ Higher period stochastic bifurcation of nonlinear airfoil fluid-structure interaction ⋮ Surrogate Models for Oscillatory Systems Using Sparse Polynomial Chaos Expansions and Stochastic Time Warping

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An adaptive stochastic finite elements approach based on Newton-Cotes quadrature in simplex elements
• Uncertainty propagation using Wiener-Haar expansions
• Multi-resolution analysis of Wiener-type uncertainty propagation schemes
• An alternative unsteady adaptive stochastic finite element formulation based on interpolation at constant phase
• A mathematical introduction to fluid mechanics
• Long-term behavior of polynomial chaos in stochastic flow simulations
• Stochastic approaches to uncertainty quantification in CFD simulations
• An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
• Uncertainty quantification of limit-cycle oscillations
• A Monomial Chaos Approach for Efficient Uncertainty Quantification in Nonlinear Problems
• Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• The stochastic piston problem
• A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
• Solution of stochastic partial differential equations using Galerkin finite element techniques