Solving Laplace differential equation using Markov chains in Monte Carlo method

Solving Laplace differential equation using Markov chains in Monte Carlo method

This paper presents solution to Laplace differential equation by using Markov chains in Monte Carlo method. Considered here was a two-dimensional model that satisfies Dirichlet and Neumann conditions. In particular, electrostatic field was observed in case of homogeneous Neumann condition at one of...

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Bibliographische Detailangaben
Hauptverfasser: Kokorus, Mario, Sokolija, Kemo
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Absorption
Dirichlet and Neumman conditions
Electric potential
Electrostatics
Laplace differential equation
Markov Chains
Markov processes
Mathematical model
Monte Carlo methods
Vectors
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Beschreibung
Zusammenfassung:This paper presents solution to Laplace differential equation by using Markov chains in Monte Carlo method. Considered here was a two-dimensional model that satisfies Dirichlet and Neumann conditions. In particular, electrostatic field was observed in case of homogeneous Neumann condition at one of the domain boundaries.
DOI:10.1109/ICAT.2013.6684079