Solving elliptic boundary value problems with uncertain coefficients by the finite element method: The stochastic formulation

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 12-16, 2005, Pages 1251-1294

  Babuŝka, Ivo ^a   Tempone, Raúl ^a   Zouraris, Georgios E ^b,c  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b UNIVERSITY OF CRETE   (Greece)

^c INSTITUTE OF COMPUTER SCIENCE   (Greece)

Author keywords

Adaptive methods; Error control; Error estimates; Expected value; Finite elements; k h vesions; Karhunen Lo ve expansion; Monte Carlo methods; p h versions; Perturbation estimstes; Stochastic elliptic equation

Indexed keywords

ADAPTIVE ALGORITHMS; APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD; MONTE CARLO METHODS; NUMERICAL METHODS; PROBABILITY; RANDOM PROCESSES; TENSORS; VECTORS;

ASYMPTOTIC COMPLEXITY; MONTE CARLO FINITE ELEMENT METHOD; STOCHASTIC COEFFICIENTS; UNCERTAINTY;

PROBLEM SOLVING;

ERROR; MATHEMATICAL METHOD; STOCHASTIC METHOD;

EID: 13844314882     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.02.026     Document Type: Article

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