Mathematics   > Home   > Applied Mathematics: Deterministic and Stochastic   > Issue

Vol 1 - Issue 1

Applied Mathematics: Deterministic and Stochastic

List of Articles

Controlling the spurious oscillations in a least squares formulation of the transport equation approximated with space-time finite element

Finite element methods are known to produce spurious oscillations when the transport equation is solved. In this paper, a variational formulation for the transport equation is proposed, and by introducing extremal values constraints combined with a penalization of the total variation of the solution, the spurious oscillations are cancelled for a first order Lagrange finite element method.

Other issues :


Volume 16- 1

Issue 1


Volume 19- 2

Issue 1


Volume 20- 3

Issue 1