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Whole field computation using Monte Carlo method

✍ Scribed by Matthew N. O. Sadiku; Raymond C. Garcia

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
190 KB
Volume
10
Category
Article
ISSN
0894-3370

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✦ Synopsis

Monte Carlo methods are generally known for solving field problems one point at a time, unlike other numerical methods such as the finite difference and finite element methods which provide the solution at all the grid nodes simultaneously. This paper provides a Monte Carlo technique for obtaining the solution everywhere at once. The technique uses absorbing Markov chains to obtain the transition probabilities for all of the grid nodes at once. The procedure is illustrated with some examples for homogeneous and inhomogeneous, rectangular and axisymmetric solution regions, and is found to be accurate.

πŸ“œ SIMILAR VOLUMES

Computational Methods in Coupled Electro
Computational Methods in Coupled Electron–Ion Monte Carlo Simulations
✍ Carlo Pierleoni; David M. Ceperley πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 130 KB

## Abstract __In the last few years, we have been developing a Monte Carlo simulation method to cope with systems of many electrons and ions in the Born–Oppenheimer approximation: the coupled electron–ion Monte Carlo method (CEIMC). Electronic properties in CEIMC are computed by quantum Monte Carlo