An iterative solution method for p-harmonic functions on finite graphs with an implementation
In this paper I give a description and derivation of Dirichlet's problem, a boundary value problem, for p-harmonic functions on graphs and study an iterative method for solving it.The method's convergence is proved and some preliminary results about its speed of convergence are presented.T...
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| Format: | Others |
| Language: | English |
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Linköpings universitet, Matematiska institutionen
2009
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| Online Access: | http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-18162 |
| Summary: | In this paper I give a description and derivation of Dirichlet's problem, a boundary value problem, for p-harmonic functions on graphs and study an iterative method for solving it.The method's convergence is proved and some preliminary results about its speed of convergence are presented.There is an implementation accompanying this thesis and a short description of the implementation is included. The implementation will be made available on the internet at http://www.mai.liu.se/~anbjo/pharmgraph/ for as long as possible. |
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