A non-linear elliptic problem arising in petroleum engineering
Date
1971
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Abstract
The problem of determining the temperature distribution of a body heated by radiation is formulated as a variational nonlinear partial differential equation. An existence and uniqueness theorem is proved for this problem. It is shown that Newton's method applied to this nonlinear problem gives a sequence of linear Dirichlet problems. Convergence results for Newton's method are also derived.
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Degree
Master of Arts
Type
Thesis
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Citation
Mayor de Montricher, Gilbert Franz. "A non-linear elliptic problem arising in petroleum engineering." (1971) Master’s Thesis, Rice University. https://hdl.handle.net/1911/89973.
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