In this paper we solve the time-dependent incompressible Navier-Stokes equations by splitting the non-linearity and incompressibility, and using discontinuous or continuous finite element methods in space. We prove optimal error estimates for the velocity and suboptimal estimates for the pressure. We present some numerical experiments.

We discuss the formulation of a simulator in three spatial dimensions for a multicomponent, two phase (air, water) system of groundwater flow and transport with biodegradation kinetics and wells with multiple screens. The simulator has been developed for parallel, distributed memory, message passing machines. The numerical procedures employed are a fully implicit expanded mixed finite element method for flow and either a characteristics-mixed method or a Godunov method for transport and reactions...

In this paper we solve the time-dependent incompressible Navier-Stokes
equations by splitting the non-linearity and incompressibility, and
using discontinuous or continuous finite element methods in space. We
prove optimal error estimates for the velocity and suboptimal
estimates for the pressure. We present some numerical experiments.

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