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: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

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
Title of host publication	Numerical Mathematics and Advanced Applications 2011
Subtitle of host publication	Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M.
Editors	A. Cangiani, R. Davidchack, E. Georgoulis, A. Gorban, J. Levesley, M. Tretyakov
Place of Publication	Netherlands
Publisher	Springer Nature
Pages	441-448
ISBN (Electronic)	9783642331343
ISBN (Print)	9783642331336
DOIs	https://doi.org/10.1007/978-3-642-33134-3_47
Publication status	Published - 1 Jan 2012

Publication series

Name	Numerical Mathematics and Advanced Applications 2011

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

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Pryer, T. (2012). Applications of Nonvariational Finite Element Methods to Monge–Ampère Type Equations. In A. Cangiani, R. Davidchack, E. Georgoulis, A. Gorban, J. Levesley, & M. Tretyakov (Eds.), Numerical Mathematics and Advanced Applications 2011: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. (pp. 441-448). (Numerical Mathematics and Advanced Applications 2011 ). Springer Nature. https://doi.org/10.1007/978-3-642-33134-3_47

Applications of Nonvariational Finite Element Methods to Monge–Ampère Type Equations. / Pryer, Tristan.
Numerical Mathematics and Advanced Applications 2011: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. . ed. / A. Cangiani; R. Davidchack; E. Georgoulis; A. Gorban; J. Levesley; M. Tretyakov. Netherlands: Springer Nature, 2012. p. 441-448 (Numerical Mathematics and Advanced Applications 2011 ).

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

Pryer, T 2012, Applications of Nonvariational Finite Element Methods to Monge–Ampère Type Equations. in A Cangiani, R Davidchack, E Georgoulis, A Gorban, J Levesley & M Tretyakov (eds), Numerical Mathematics and Advanced Applications 2011: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. . Numerical Mathematics and Advanced Applications 2011 , Springer Nature, Netherlands, pp. 441-448. https://doi.org/10.1007/978-3-642-33134-3_47

Pryer T. Applications of Nonvariational Finite Element Methods to Monge–Ampère Type Equations. In Cangiani A, Davidchack R, Georgoulis E, Gorban A, Levesley J, Tretyakov M, editors, Numerical Mathematics and Advanced Applications 2011: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. . Netherlands: Springer Nature. 2012. p. 441-448. (Numerical Mathematics and Advanced Applications 2011 ). doi: 10.1007/978-3-642-33134-3_47

Pryer, Tristan. / Applications of Nonvariational Finite Element Methods to Monge–Ampère Type Equations. Numerical Mathematics and Advanced Applications 2011: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. . editor / A. Cangiani ; R. Davidchack ; E. Georgoulis ; A. Gorban ; J. Levesley ; M. Tretyakov. Netherlands : Springer Nature, 2012. pp. 441-448 (Numerical Mathematics and Advanced Applications 2011 ).

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

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