activity
20242026
collaborators

5 papers

math.NA2026

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…

physics.flu-dyn2026

Density-based topology optimization for turbulent fluid flow using the standard k-epsilon RANS model with wall-functions imposed through an implicit wall penalty formulation

Amirhossein Bayat, Hao Li, Joe Alexandersen

Turbulent flows have high requirements for very fine meshes near the boundary to ensure accuracy. In the context of topology optimization (TO), such fine meshes become unrealistic…

cs.CE2025

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…

cs.CE2025

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…

cs.CE2024

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…