On Convex Functions and the Finite Element Method

DOI10.1137/080720917zbMath1204.65076arXiv0804.1780OpenAlexW2078897669MaRDI QIDQ3584640

Néstor E. Aguilera, Pedro Morin

Publication date: 30 August 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1780

zbMATH Keywords

optimizationfinite element methodnumerical experimentsconvex functionprojectionadaptive meshesdiscrete versionsemidefinite programming Hessian

Mathematics Subject Classification ID

Related Items (14)

Adaptive, anisotropic and hierarchical cones of discrete convex functions ⋮ Discontinuous Galerkin methods for a class of nonvariational problems ⋮ Numerical approximation of optimal convex and rotationally symmetric shapes for an eigenvalue problem arising in optimal insulation ⋮ Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution ⋮ Conforming approximation of convex functions with the finite element method ⋮ Convergent Semi-Lagrangian Methods for the Monge--Ampère Equation on Unstructured Grids ⋮ Numerical Approximation of Optimal Convex Shapes ⋮ Hessian recovery for finite element methods ⋮ Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation ⋮ The numerical solution of Newton's problem of least resistance ⋮ Convergent Two-Scale Filtered Scheme for the Monge--Ampère Equation ⋮ Optimal-Transport--Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements ⋮ Finite element methods for fully nonlinear second order PDEs based on a discrete Hessian with applications to the Monge-Ampère equation ⋮ On uniform consistent estimators for convex regression

Uses Software

• CSDP
• ALBERTA

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