Article ID: | iaor2014887 |
Volume: | 49 |
Issue: | 5 |
Start Page Number: | 831 |
End Page Number: | 837 |
Publication Date: | May 2014 |
Journal: | Structural and Multidisciplinary Optimization |
Authors: | Tortorelli Daniel, Jensen Jakob, Nakshatrala Praveen |
Keywords: | design, programming: linear, programming: dynamic |
Gradient‐based topology optimization typically involves thousands or millions of design variables. This makes efficient sensitivity analysis essential and for this the adjoint variable method (AVM) is indispensable. For transient problems it has been observed that the traditional AVM, based on a differentiate‐then‐discretize approach, may lead to inconsistent sensitivities. Herein this effect is explicitly demonstrated for a single dof system and the source of inconsistency is identified. Additionally, we outline an alternative discretize‐then‐differentiate AVM that inherently produces consistent sensitivities.