Applications of Nonvariational Finite Element Methods to Monge–Ampère Type Equations

T. Pryer ()
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T. Pryer: University of Kent

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 441-448 from Springer

Abstract: Abstract 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.

Keywords: Order PDEs; Piecewise Quadratic Function; Dirichlet Type Boundary Condition; Optimal Transport Problem; Vanish Viscosity Method (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_47

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DOI: 10.1007/978-3-642-33134-3_47

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