Topological Derivatives in Shape Optimization

1. Introduction
Antonio André Novotny, Jan Sokołowski

2. Domain Derivation in Continuum Mechanics
Antonio André Novotny, Jan Sokołowski

3. Material and Shape Derivatives for Boundary Value Problems
Antonio André Novotny, Jan Sokołowski

4. Singular Perturbations of Energy Functionals
Antonio André Novotny, Jan Sokołowski

5. Configurational Perturbations of Energy Functionals
Antonio André Novotny, Jan Sokołowski

6. Topological Derivative Evaluation with Adjoint States
Antonio André Novotny, Jan Sokołowski

7. Topological Derivative for Steady-State Orthotropic Heat Diffusion Problems
Antonio André Novotny, Jan Sokołowski

8. Topological Derivative for Three-Dimensional Linear Elasticity Problems
Antonio André Novotny, Jan Sokołowski

9. Compound Asymptotic Expansions for Spectral Problems
Antonio André Novotny, Jan Sokołowski

10. Topological Asymptotic Analysis for Semilinear Elliptic Boundary Value Problems
Antonio André Novotny, Jan Sokołowski

11. Topological Derivatives for Unilateral Problems
Antonio André Novotny, Jan Sokołowski

Keywords: Engineering, Theoretical and Applied Mechanics, Computational Science and Engineering, Mathematical Applications in the Physical Sciences