Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations

Optimization with the time-dependent Navier-Stokes equations as constraints

In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the opt...

The Best Values of Parameters in Accelerated Successive Overrelaxation Methods

In this paper we find the best values of parameters in accelerated successive overrelaxation method (ASOR). We state and prove some theorems that show how we can find the optimal values of parameters in ASOR for special coefficient matrices. Key-Words: Linear systems, iterative methods, relaxation, ASOR.

optimization with the time-dependent navier-stokes equations as constraints

in this paper, optimal distributed control of the time-dependent navier-stokes equations is considered. the control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. a mixed numerical method involving a quasi-newton algorithm, a novel calculation of the gradients and an inhomogeneous navier-stokes solver, to find the opt...

Time-dependent Stokes Equations with Measure Data

A posteriori estimates for approximations of time-dependent Stokes equations

In this paper, we derive a posteriori error estimates for space-discrete approximations of the timedependent Stokes equations. By using an appropriate Stokes reconstruction operator, we are able to write an auxiliary error equation, in pointwise form, that satisfies the exact divergence-free condition. Thus, standard energy estimates from partial differential equation theory can be applied dire...