# Optimization method ANSYS Workbench

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• Last Post 23 September 2019
h0tg3r posted this 23 September 2019

Dear Community,

I am a german civil engineering student at the "Technische Universität Kaiserslautern".

I want to know which optimization method is used in an Ansys workbench topologyoptimization.

I think it is the "Pixel-Method" but I couldn´t find any information.

Can anyone help me?

Regards Clemens

peteroznewman posted this 23 September 2019

The Sequential Convex Programming method (SCP), see Zillober [3, 5, 6], is an extension of the method for moving asymptotes (MMA), see Svanberg [2]. The Sequential Convex Programming method requires the derivatives of all functions present in the topology optimization problem. MMA is a nonlinear programming algorithm that approximates a solution for a topology optimization problem by solving a sequence of convex and separable subproblems. These subproblems can be solved efficiently due to their special structure.

The Sequential Convex Programming method extends MMA to ensure convergence by rejecting steps that do not lead to an optimal solution of the underlying problem. The test for acceptance is done by a merit function and a corresponding line search procedure, see Zillober [4]. The goal of the merit function is to measure the progress and enable the objective function and the constraints to be combined in a suitable way.

The above was copied from the 2019 R2 Online Help.  Follow these directions to use a help URL.

https://ansyshelp.ansys.com/account/secured?returnurl=/Views/Secured/corp/v194/wb_sim/ds_topo_solvers.html?q=topology optimization theory