An Adaptive Method for the Numerical Solution of a 2D Monge-Ampère Equation

== Summary ==

We consider a 2D parabolic Monge-Ampère equation, and aim at tracking stationary solutions. A time-stepping algorithm is advocated, together with a finite element space approximation. A mesh adaptation technique is considered to track the singularities of the solutions. The approximate error indicator is based on a linearization of the Monge-Ampère operator. Numerical experiments show the numerical efficiency of the approach on several examples.
                                                                                              
== Video ==
{{#evt:service=cloudfront|id=257151|alignment=center|filename=73.mp4}}

== Abstract ==
<pdf>Media:Draft_Content_107881929A_IDC6_73.pdf</pdf>
                                                
== Document ==
<pdf>Media:Caboussat_et_al_2021b_9141_P_IDC6_73.pdf</pdf>