Mathematics – Numerical Analysis
Scientific paper
2010-12-08
Mathematics
Numerical Analysis
Scientific paper
We consider numerical approximations of the Monge-Amp\`ere equation det $D^2 u=f, f>0$ with Dirichlet boundary conditions on a convex bounded domain $\Omega$ in $\mathbb{R}^n, n=2,3$. We make a comparative study of three existing methods suitable for finite element computations. We construct conforming approximations in the framework of the spline element method where constraints and interelement continuities are enforced using Lagrange multipliers.
No associations
LandOfFree
Spline element method for the Monge-Ampere equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spline element method for the Monge-Ampere equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spline element method for the Monge-Ampere equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-558707