A variational solution to the transport equation subject to an affine constraint.

Pousin, Jerome G. (National Institute of Applied Sciences, Villeurbanne Cedex, France) ; Najm, Habib N. ; Picq, Martine (National Institute of Applied Sciences, Villeurbanne Cedex, France) ; Pebay, Philippe Pierre

Sandia National Laboratories

关键词: Space-Time;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Least Squares.;    Equations-Numerical Solutions.;    Approximations Equations-Numerical Solutions.;   

DOI  :  10.2172/921135
RP-ID  :  SAND2004-8096
RP-ID  :  AC04-94AL85000
RP-ID  :  921135

美国|英语

来源: UNT Digital Library

【 摘 要 】

We establish an existence and uniqueness theorem for the transport equation subject to an inequality affine constraint, viewed as a constrained optimization problem. Then we derive a Space-Time Integrated Least Squares (STILS) scheme for its numerical approximation. Furthermore, we discuss some L{sup 2}-projection strategies and with numerical examples we show that there are not relevant for that problem.