An Ultra Weak Finite Element Method as an Alternative to a Monte Carlo Method for an Elasto-Plastic Problem with Noise

DOI10.1137/090751141zbMath1210.37060OpenAlexW2011433098MaRDI QIDQ3056233

Laurent Mertz, Janos Turi, Olivier Pironneau, Alain Bensoussan

Publication date: 11 November 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/861512607986f617e84675ceed9000a219560dd5

zbMATH Keywords

random vibration weak finite element method numerical approximation of invariant measure

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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A collocatedC⁰finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics ⋮ Numerical analysis of degenerate Kolmogorov equations of constrained stochastic Hamiltonian systems ⋮ Long cycle behavior of the plastic deformation of an elasto-perfectly-plastic oscillator with noise ⋮ Stochastic dynamics of fluid–structure interaction in turbulent thermal convection ⋮ Free boundary value problems and hjb equations for the stochastic optimal control of elasto-plastic oscillators ⋮ NonLocal Boundary Value Problems of a Stochastic Variational Inequality Modeling an Elasto-Plastic Oscillator Excited by a Filtered Noise ⋮ A collocated isogeometric finite element method based on Gauss-Lobatto Lagrange extraction of splines

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