Topology Optimization of transient problems using an adaptive diagonally implicit Runge-Kutta scheme
This thesis derives a consistent adjoint sensitivity analysis for an adaptive time- stepping scheme, the Singly Diagonally Implicit Runge-Kutta scheme and evaluates its performance by comparing the scheme with a conventional time integration ap- proach. The goals are to derive the sensitivity analysis and assess whether solution accuracy can be improved while preserving computational efficiency. B