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

[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.

[发布日期] 2004-02-01 [发布机构] 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.