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- Martin Berggren, Fotios Kasolis
- SIAM J. Numerical Analysis
- 2012

Consider the solution of a boundary-value problem for steady linear elasticity in which the computational domain contains one or several holes with traction-free boundaries. The presence of holes in the material can be approximated using a weak material; that is, the relative density of material ρ is set to 0 < = ρ 1 in the hole region. The weak material… (More)

- Fotios Kasolis, Eddie Wadbro, Martin Berggren
- SIAM J. Numerical Analysis
- 2015

Consider the Helmholtz equation ∇ · α∇p+ k2αp = 0 in a domain that contains a so-called hard scatterer. The scatterer is represented by the value α = , for 0 < 1, whereas α = 1 whenever the scatterer is absent. This scatterer model is often used for the purpose of design optimization and constitutes a fictitious domain approximation of a body characterized… (More)

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