The main idea we use to derive the topological derivatives for contact problems is the modification of the energy functional by an appropriate correction term and subsequent minimization of the resulting energy functional over the cone of admissible displacements. Such an approach leads to the outer approximations of solutions to variational inequalities.
CITATION STYLE
Sokołowski, J., & Zochowski, A. (2007). Topological derivatives for contact problems. In Free and Moving Boundaries: Analysis, Simulation and Control (pp. 309–320). CRC Press. https://doi.org/10.1201/9781420011159.ch16
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