Elastostatics of a half-plane under random boundary excitations

DOI10.1007/s10955-009-9857-3zbMath1179.82047OpenAlexW1993343792MaRDI QIDQ1047944

Irina A. Shalimova, K. K. Sabel'fel'd

Publication date: 8 January 2010

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-009-9857-3

zbMATH Keywords

Karhunen-Loeve expansionsLame elasticity equationrandom displacement excitations

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items

Implementation of the Multiscale Stochastic Finite Element Method on Elliptic PDE Problems, Elastodynamic problem on tensor random fields with fractal and Hurst effects, Impact force and moment problems on random mass density fields with fractal and Hurst effects

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elastic half-plane under random displacement excitations on the boundary
• Stokes flows under random boundary velocity excitations
• A multiscale stochastic finite element method on elliptic problems involving uncertainties
• Pseudo-spectral and asymptotic sensitivity investigation of counter- rotating vortices
• Correlation theory of stationary and related random functions. Volume I: Basic results
• The analysis of the Neumann and the oblique derivative problem: the theory of regularization and its stochastic version.
• Multidimensional reaction-diffusion equations with white noise boundary perturbations
• Comparative analysis of multiscale Gaussian random field simulation algorithms
• Stochastic forcing of the linearized Navier–Stokes equations
• Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography
• Expansion of random boundary excitations for elliptic PDEs
• Computational Science - ICCS 2004