Semi-Lagrange method for level-set-based structural topology and shape optimization

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Topology optimization of thermoelastic structures using level set method (2008, methodology): “For spatial discretization, there exist upwind differencing, essentially non-oscillatory scheme (ENO) [34,35], and weighted essentially non-oscillatory scheme(WENO)[22].Fortimediscretization,thereexistforward Euler differencing, total variation diminishing Runge– Kutta scheme (TVD-RK) [46], and semi”
Introducing the sequential linear programming level-set method for topology optimization (2015, methodology): “2008) or a semi-Lagrange approach (Xia et al. 2006).”
Level set topology optimization of fluids in Stokes flow (2009, background): “Research has also been focussed on parameterization schemes for the level set function [32–36], different velocity extensions [37, 38], alternative approaches for solving the evolution equation [39, 40], and ways to improve the accuracy of the level set representation and finite element solution nea”