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Applications of nonvariational finite element methods to Monge-Ampère type equations. (English) Zbl 1267.65183

Cangiani, Andrea (ed.) et al., Numerical mathematics and advanced applications 2011. Proceedings of ENUMATH 2011, the 9th European conference on numerical mathematics and advanced applications, Leicester, UK, September 5–9, 2011. Berlin: Springer (ISBN 978-3-642-33133-6/hbk; 978-3-642-33134-3/ebook). 441-448 (2013).
Summary: The goal of this work is to illustrate the application of the nonvariational finite element method to a specific Monge-Ampère type nonlinear partial differential equation. The equation we consider is that of prescribed Gauss curvature however the method can be generalised to any Monge-Ampère operator.
For the entire collection see [Zbl 1257.65002].

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

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