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Resumen de Numerical solution of fully nonlinear elliptic equations by Böhmer�s method

Oleg Davydov, Abid Saeed

  • We present an implementation of Böhmer�s finite element method for fully nonlinear elliptic partial differential equations on convex polygonal domains, based on a modified Argyris element and Bernstein�Bézier techniques. Our numerical experiments for several test problems, involving the classical Monge�Ampère equation and an unconditionally elliptic equation, confirm the convergence and error bounds predicted by Böhmer�s theoretical results.


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