Browsing by Author "Mayor de Montricher, Gilbert Franz"
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Item A non-linear elliptic problem arising in petroleum engineering(1971) Mayor de Montricher, Gilbert Franz; Tapia, Richard A.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.