Quadratic mixed finite element approximations of the Monge–Ampère equation in 2D

Autor:	Gerard Awanou
Rok vydání:	2014
Předmět:	Hessian matrix Hessian equation Algebra and Number Theory Degree (graph theory) Mathematics::Complex Variables Numerical analysis Mathematical analysis Monge–Ampère equation Mixed finite element method Finite element method Computational Mathematics symbols.namesake Quadratic equation symbols Mathematics
Zdroj:	Calcolo. 52:503-518
ISSN:	1126-5434 0008-0624
DOI:	10.1007/s10092-014-0127-7
Popis:	We give error estimates for a mixed finite element approximation of the two-dimensional elliptic Monge---Ampere equation with the unknowns approximated by Lagrange finite elements of degree two. The variables in the formulation are the scalar variable and the Hessian matrix.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e027c0595cdcce1a044e3b8cf6fd72ce https://doi.org/10.1007/s10092-014-0127-7 Zobrazit plný text záznamu Full text from SpringerLink