Abstract
Conservative linear equations arise in many areas of application,
including continuum mechanics or high-frequency geometrical optics
approximations. This kind of equations admits most of the time solutions
which
are only bounded measures in the space variable known as duality
solutions. In
this paper, we study the
convergence of a class of finite-differences numerical schemes and
introduce an
appropriate concept of consistency with the continuous problem. Some
basic
examples including computational results are also supplied.
Anno
2002
Autori IAC
Tipo pubblicazione
Altri Autori
Gosse L., James F.
Editore
Springer
Rivista
Numerische Mathematik