Stochastic Finite Elements
By Maurice Lemaire, Alaa Chateauneuf, J. Mitteau. 2010
161 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Mechanics of Materials, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/8980840b70bdcf80458ebdaecabedb35f70efb6d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Daniel Straub
- K. Andrew Cliffe
- Adrian Sandu
- Robert Scheichl
- Aretha L. Teckentrup
- Emmanuel D. Blanchard
- Iason Papaioannou
- M. Giles
In Mechanics of Materials
- Iason Papaioannou
- Daniel Straub
- Adrian Sandu
- Robert Scheichl
- Emmanuel D. Blanchard
- M. Giles
- Corina Sandu
In Statistics and Probability
- Iason Papaioannou
- Daniel Straub
- K. Andrew Cliffe
- Paolo Manfredi
- Adrian Sandu
- Robert Scheichl
- Tzong-Lin Wu
- Aretha L. Teckentrup
Citations in the corpus
- Overview of Signal Integrity and EMC Design Technologies on PCB: Fundamentals and Latest Progress (2013, background): “Any function H , carrying the effects of variability, can be approximated by means of the following truncated series [120]”
- Stochastic Analysis of Multiconductor Cables and Interconnects (2011, background): “It is based on the so-called polynomial chaos (PC) technique that assumes a series of orthogonal polynomials of random variables for the description of the solution of a stochastic problem [2]–[4].”
- Learning soil parameters and updating geotechnical reliability estimates under spatial variability – theory and application to shallow foundations (2017, methodology): “A method that is optimal in terms of the average mean-square error in the discretisation, and hence can lead to efficient RF representation with small number of RVs, is the Karhunen–Loève expansion (e.g. Ghanem and Spanos 1991; Betz, Papaioannou, and Straub 2014).”
- A Polynomial Chaos-Based Kalman Filter Approach for Parameter Estimation of Mechanical Systems (2010, methodology): “1/11/2012 3 The polynomial chaos method started to gain attention after Ghanem and Spanos [39-42] applied it successfully to the study of uncertainties in structural mechanics and vibration using Wiener-Hermite polynomials.”
- Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients (2011, methodology): “[Ghanem, Spanos, 1991], we get for d = 1, D = (0, 1) and σ2 = 1 in (3.”