Adaptive data refinement in the spectral stochastic finite element method

Communications in Numerical Methods in Engineering

Volumn 18, Issue 2, 2002, Pages 141-151

  Ghanem, R ^a   Pellissetti, M ^a,b  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b Johns Hopkins University   (United States)

Author keywords

Adaptive data refinement; Error estimation; Galerkin approximation; Karhunen Loeve expansion; Polynomial chaos expansion; Random operators; Stochastic processes

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; FINITE ELEMENT METHOD; PROBABILITY; STATISTICAL METHODS;

TRADITIONAL ERROR;

NUMERICAL METHODS;

FINITE ELEMENT METHOD; STOCHASTIC METHOD;

EID: 0036470866     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.476     Document Type: Article

References (13)

1. Stochastic finite element analysis for multiphase flow in heterogeneous porous media
2. Scales of fluctuation and the propagation of uncertainty in random porous media
3. Propagation of uncertainty in complex physical systems using a stochastic finite element approach
4. Ingredients for a general purpose stochastic finite elements formulation
5. Error estimates for adaptive finite element computations
6. Adaptive methods for problems in solid and fluid mechanics
7. The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
8. Simulation of non-Gaussian non-stationary processes
9. A Continuous-time inverse operator for groundwater and contaminant transport modeling, II, Model identifiability
10. The homogeneous chaos