Faculté des sciences

## Space-Time Integrated Least-Squares: Solving a Pure Advection Equation with a Pure Diffusion Operator

### In: Journal of Computational Physics, 1995, vol. 117, no. 2, p. 183-193

An alternative formulation for multidimensional scalar advection is derived following both a conservative and a variational approach, by applying the least-squares method simply generalized to the space-time domain. In the space-time framework pure advection is regarded as a process involving only anisotropic diffusion along space-time characteristics. The resulting parabolic-type equation lends... More