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We present an approach to the evaluation of the topological derivative for the energy type functional. The approach is based on the representation of the energy functional in the form of a minimization procedure for regularly perturbed quadratic functional. It is of some importance for the variational inequalities since allow us to derive the formulae for the topological derivatives which coincide with the formulae obtained for the corresponding liner boundary value problems.
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Projects co-financed by:
Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.