Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639134 | Journal of Computational and Applied Mathematics | 2013 | 12 Pages |
Abstract
We present an implementation of Böhmer’s finite element method for fully nonlinear elliptic partial differential equations on convex polygonal domains, based on a modified Argyris element and Bernstein–Bézier techniques. Our numerical experiments for several test problems, involving the classical Monge–Ampère equation and an unconditionally elliptic equation, confirm the convergence and error bounds predicted by Böhmer’s theoretical results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Oleg Davydov, Abid Saeed,