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- H. Kasumba, Karl Kunisch
- 2010 15th International Conference on Methods andâ€¦
- 2010

A shape design optimization problem for viscous flows in an open channel with a bump and an obstacle are investigated. An analytical expression for the shape design sensitivity involving differentâ€¦ (More)

- H. Kasumba, Karl Kunisch
- Comp. Opt. and Appl.
- 2012

The use of translation invariant cost functionals for the reduction of vortices in the context of shape optimization of fluid flow domain is investigated. Analytical expressions for the shape designâ€¦ (More)

A bilevel shape optimization problem with the exterior Bernoulli free boundary problem as lower-level problem and the control of the free boundary as the upper-level problem is considered. Using theâ€¦ (More)

- H. Kasumba, Karl Kunisch
- Comp. Opt. and Appl.
- 2013

The use of translation invariant cost functionals for the reduction of vortices in the context of shape optimization of fluid flow domains is investigated. Analytical expressions for the shape designâ€¦ (More)

- H. Kasumba, Karl Kunisch
- J. Optimization Theory and Applications
- 2014

A framework for calculating the shape Hessian for the domain optimization problem with a partial differential equation as the constraint is presented. First and second order approximations of theâ€¦ (More)

- Johann Radon, H. Kasumba
- 2014

We present a boundary optimal control approach for a Bernoulli free boundary problem. Our control objective consists in tracking a free boundary to an a priori given desired one. An appropriate costâ€¦ (More)

- M. S. Nhlapo, H. Kasumba, Tabukeli Ruhiiga
- 2011

This paper reports the results of a study conducted in several former homeland towns in South Africa aimed at assessing the nature of urban growth constraints. The methodology involved an analysis ofâ€¦ (More)

On Shape Sensitivity Analysis of the Cost Functional Without Shape Sensitivity of the State Variable

- H. Kasumba, Karl Kunisch
- 2011

A general framework for calculating shape derivatives for domain optimization problems with partial differential equations as constraints is presented. The first order approximation of the cost withâ€¦ (More)

- H. Kasumba, Karl Kunisch
- Applied Mathematics and Computation
- 2012

Shape optimization problems in fluid dynamics governed by the free surface flows are considered. Such problems are inspired by the process of continuous casting of steel where optimization of largeâ€¦ (More)

- H. Kasumba
- 2015

Three different reformulations of a free surface problem as shape optimization problems are considered. These give rise to three different cost functionals which apparently have not been exploited inâ€¦ (More)