BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Monge Ampere equations and grid alignment in mesh generation - Chr
 is Budd (University of Bath)
DTSTART:20140227T150000Z
DTEND:20140227T160000Z
UID:TALK50059@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:Mesh generation is an important part of the numerical\nsolutio
 n of many PDEs. If the PDE has evolving structure\non small scales then it
  is often essential that the mesh\nadapts to resolve these scales. One way
  of doing this is\nto move the mesh points into regions where greater reso
 lution\nis needed. Such movement can be regarded as the action of a map\nf
 rom a regular mesh into an adapted mesh. Thus mesh generation\ncan be stud
 ied in terms of the properties of this map and the\ndifferential equations
  that it satisfies.\n\nIn this talk I will look at a class of such maps de
 rived from solutions\nof the (fully nonlinear) Monge Ampere equation. I wi
 ll show that\nsuch maps can be generated easily and moreover the global re
 gularity\nof the mesh can be understood in terms of the regularity of the\
 nsolution of the Monge Ampere equation. In particular I will demonstrate\n
 that such meshes align themselves very well with underlying features\nof t
 he solution and thus are effective in approximating these features.
LOCATION:MR 14\, CMS
END:VEVENT
END:VCALENDAR