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

Tristan Pryer

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

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

Research output: Contribution to journal › Conference article › peer-review

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.

Original language	English
Journal	Numerical Mathematics and Advanced Applications 2011
DOIs	https://doi.org/10.1007/978-3-642-33134-3_47
Publication status	Published - 1 Jan 2012

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title = "Applications of Nonvariational Finite Element Methods to Monge–Amp{\`e}re Type Equations",

abstract = "The goal of this work is to illustrate the application of the nonvariational finite element method to a specific Monge–Amp{\`e}re type nonlinear partial differential equation. The equation we consider is that of prescribed Gauss curvature however the method can be generalised to any Monge–Amp{\`e}re operator.",

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AB - 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.

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DO - 10.1007/978-3-642-33134-3_47

M3 - Conference article

JO - Numerical Mathematics and Advanced Applications 2011

JF - Numerical Mathematics and Advanced Applications 2011

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

Abstract

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