Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Gerard Awanou"'
Autor:
Gerard Awanou
Publikováno v:
Electronic Journal of Differential Equations, Vol Conference, Iss 26, Pp 13-32 (2022)
Externí odkaz:
https://doaj.org/article/ff04d2e73ebb43f0af8a902b33ac4d97
Autor:
Gerard Awanou
Publikováno v:
Symmetry, Vol 2, Iss 3, Pp 1375-1389 (2010)
The theory of elasticity is used to predict the response of a material body subject to applied forces. In the linear theory, where the displacement is small, the stress tensor which measures the internal forces is the variable of primal importance. H
Externí odkaz:
https://doaj.org/article/5e64f830b98b4e489c43268ab3d5a2f8
Publikováno v:
Journal of Computational Mathematics. 38:547-564
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7dd6daab0fb28db5ac9004953a6f858
https://doi.org/10.4208/jcm.1901-m2018-0039
https://doi.org/10.4208/jcm.1901-m2018-0039
Autor:
Gerard Awanou
To a mesh function we associate the natural analogue of the Monge-Ampere measure. The latter is shown to be equivalent to the Monge-Ampere measure of the convex envelope. We prove that the uniform convergence to a bounded convex function of mesh func
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4ce77dca7827c95ce05ce6e14bcd777
Autor:
Gerard Awanou
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 51:707-725
We prove a convergence result for a natural discretization of the Dirichlet problem of the elliptic Monge-Ampere equation using finite dimensional spaces of piecewise polynomial C0 or C1 functions. Standard discretizations of the type considered in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92a13de84619013b3897701f0544f510
https://doi.org/10.1051/m2an/2016037
https://doi.org/10.1051/m2an/2016037
Autor:
Gerard Awanou
Publikováno v:
Journal of Scientific Computing. 69:892-904
Given an orthogonal lattice with mesh length h on a bounded two-dimensional convex domain $${\varOmega }$$Ω, we propose to approximate the Aleksandrov solution of the Monge---Ampere equation by regularizing the data and discretizing the equation in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::735f51a4a926b3b040fb0d09c7a869bb
https://doi.org/10.1007/s10915-016-0220-y
https://doi.org/10.1007/s10915-016-0220-y
Autor:
Gerard Awanou
Publikováno v:
Calcolo. 54:281-297
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d4433489b8f2f82ec8b87c7034f41129
https://doi.org/10.1007/s10092-016-0187-y
https://doi.org/10.1007/s10092-016-0187-y
Autor:
Gerard Awanou
Publikováno v:
Communications in Mathematical Sciences. 13:427-441
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca5a73d085ed62a570fe9c4fd724f9d3
https://doi.org/10.4310/cms.2015.v13.n2.a8
https://doi.org/10.4310/cms.2015.v13.n2.a8
Autor:
Gerard Awanou
Publikováno v:
Calcolo. 52:503-518
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 variabl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e027c0595cdcce1a044e3b8cf6fd72ce
https://doi.org/10.1007/s10092-014-0127-7
https://doi.org/10.1007/s10092-014-0127-7
Autor:
Gerard Awanou
Publikováno v:
BIT Numerical Mathematics. 55:625-646
We analyze the convergence of an iterative method for solving the nonlinear system resulting from a natural discretization of the Monge–Ampere equation with smooth approximations. We make the assumption, supported by numerical experiments for the t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a3c9fbb8fa8ee90125e06c644530ef4
https://doi.org/10.1007/s10543-014-0524-y
https://doi.org/10.1007/s10543-014-0524-y