4 papers
Space-time spectral element summation-by-parts method for heterogeneous transient heat conduction arising in topology optimization
Sarah Nataj, Magnus Appel, Joe Alexandersen
We develop a stable space-time spectral element method for transient heat conduction in heterogeneous multi-material domains, motivated by topology optimization. The method treats…
Large-Scale Topology Optimisation of Time-dependent Thermal Conduction Using Space-Time Finite Elements and a Parallel Space-Time Multigrid Preconditioner
Joe Alexandersen, Magnus Appel
This paper presents a novel space-time topology optimisation framework for time-dependent thermal conduction problems, aiming to significantly reduce the time-to-solution. By treat…
Space-Time Multigrid Methods Suitable for Topology Optimisation of Transient Heat Conduction
Magnus Appel, Joe Alexandersen
This paper presents Space-Time MultiGrid (STMG) methods which are suitable for performing topology optimisation of transient heat conduction problems. The proposed methods use a po…
One-shot Parareal Approach for Topology Optimisation of Transient Heat Flow
Magnus Appel, Joe Alexandersen
This paper presents a method of performing topology optimisation of transient heat conduction problems using the parallel-in-time method Parareal. To accommodate the adjoint analys…