3 papers
math.NA2023
Topological Derivative for Shallow Water Equations
Mame Gor Ngom, Ibrahima Faye, Diaraf Seck
Coastal erosion is a major and growing environmental problem describing the movement of sand caused by tides, waves or currents. Several phenomena contribute to the significant adv…
math.OC2022
Min max method, shape, topological derivatives, averaged Lagrangian, homogenization, two scale convergence, Helmholtz equation
Mame Gor Ngom, Ibrahima Faye, Diaraf Seck
In this paper, we perform a rigourous version of shape and topological derivatives for optimizations problems under constraint Helmoltz problems. A shape and topological optimizati…
math.NA2022
On shape and topological optimization problems with constraints Helmholtz equation and spectral problems
Mame Gor Ngom, Ibrahima Faye, Diaraf Seck
Coastal erosion describes the displacement of sand caused by the movement induced by tides, waves or currents. Some of its wave phenomena are modeled by Helmholtz-type equations. O…