Elastic half-plane under random displacement excitations on the boundary

DOI10.1007/s10955-008-9597-9zbMath1157.82010OpenAlexW1989400798MaRDI QIDQ960153

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

Publication date: 16 December 2008

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

Full work available at URL: https://doi.org/10.1007/s10955-008-9597-9

zbMATH Keywords

white noisePoisson integral formulaKarhunen-Loève expansion2D lamé equationboundary random excitations

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Elastic materials (74B99)

Related Items

Stochastic analysis of an elastic 3D half-space respond to random boundary displacements: exact results and Karhunen-Loève expansion, Elastodynamic problem on tensor random fields with fractal and Hurst effects, Stokes flows under random boundary velocity excitations, Impact force and moment problems on random mass density fields with fractal and Hurst effects, Elastostatics of a half-plane under random boundary excitations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the hidden beauty of the proper orthogonal decomposition
• A multiscale stochastic finite element method on elliptic problems involving uncertainties
• 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
• Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes
• Stochastic flow simulation in 3D porous media
• Stochastic forcing of the linearized Navier–Stokes equations
• Stochastic Eulerian model for the flow simulation in porous media
• Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography
• Expansion of random boundary excitations for elliptic PDEs
• Stochastic Spectral and Fourier-Wavelet Methods for Vector Gaussian Random Fields