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References from Space–time multigrid methods suitable for topology optimisation of transient heat conduction. Local targets link to admitted publications; unresolved targets remain external evidence.
Unresolved reference
2003 · External reference
A survey of structural and multidisciplinary continuum topology optimization: post 2000
10.1007/s00158-013-0956-z · 2014 · External reference
Topology optimization of the transient heat conduction problem on a triangular mesh
10.1080/10407790.2013.791785 · 2013 · External reference
A global heat compliance measure based topology optimization for the transient heat conduction problem
10.1080/10407790.2013.873309 · 2014 · External reference
A review about the engineering design of optimal heat transfer systems using topology optimization
10.1016/j.applthermaleng.2016.10.134 · 2017 · External reference
Transient thermal dissipation efficiency based method for topology optimization of transient heat conduction structures
10.1016/j.ijheatmasstransfer.2021.121004 · 2021 · External reference
Topology optimization for minimizing the maximum temperature of transient heat conduction structure
10.1007/s00158-019-02196-9 · 2019 · External reference
Topology optimization of heat sinks for instantaneous chip cooling using a transient pseudo-3d thermofluid model
10.1016/j.ijheatmasstransfer.2020.119681 · 2020 · External reference
A level-set method for steady-state and transient natural convection problems
10.1007/s00158-015-1377-y · 2016 · External reference
Design of robust and efficient photonic switches using topology optimization
10.1016/j.photonics.2011.10.003 · 2012 · External reference
Accelerating large-scale topology optimization: state-of-the-art and challenges
2021 · External reference
On multigrid-cg for efficient topology optimization
10.1007/s00158-013-1015-5 · 2014 · External reference
Topology optimization using petsc: An easy-to-use, fully parallel, open source topology optimization framework
10.1007/s00158-014-1157-0 · 2015 · External reference
Multi-gpu acceleration of large-scale density-based topology optimization
2021 · External reference
On the use of multigrid preconditioners for topology optimization
10.1007/s00158-020-02750-w · 2021 · External reference
Methods of conjugate gradients for solving linear systems
10.6028/jres.049.044 · 1952 · External reference
Gmres: A generalized minimal residual algorithm for solving nonsymmetric linear systems
10.1137/0907058 · 1986 · External reference
Large scale three-dimensional topology optimisation of heat sinks cooled by natural convection
10.1016/j.ijheatmasstransfer.2016.05.013 · 2016 · External reference
Giga-voxel computational morphogenesis for structural design
10.1038/nature23911 · 2017 · External reference
Topology optimization of two fluid heat exchangers
10.1016/j.ijheatmasstransfer.2020.120543 · 2020 · External reference
Topology optimization of ultra high resolution shell structures
10.1016/j.tws.2020.107349 · 2021 · External reference
A parallel geometric multigrid method for adaptive topology optimization
10.1007/s00158-023-03675-w · 2023 · External reference
An efficient isogeometric topology optimization based on the adaptive damped geometric multigrid method
10.1016/j.advengsoft.2024.103712 · 2024 · External reference
Unresolved reference
2025 · External reference
Topology optimization using multiscale finite element method for high-contrast media
2014 · External reference
Topology optimisation of manufacturable microstructural details without length scale separation using a spectral coarse basis preconditioner
10.1016/j.cma.2015.02.028 · 2015 · External reference
Unresolved reference
2015 · External reference
Fast multiscale contrast independent preconditioners for linear elastic topology optimization problems
10.1016/j.cam.2020.113366 · 2021 · External reference
An open-source framework for large-scale transient topology optimization using petsc
10.1007/s00158-022-03312-y · 2022 · External reference
50 Years of time parallel time integration
2015 · External reference
Applications of time parallelization
10.1007/s00791-020-00331-4 · 2020 · External reference
Résolution d’edp par un schéma en temps pararéel
2001 · External reference
Unresolved reference
2012 · External reference
A time-stepping algorithm for parallel computers
10.1137/0911049 · 1990 · External reference
Toward an efficient parallel in time method for partial differential equations
10.2140/camcos.2012.7.105 · 2012 · External reference
Parallel-in-time optimization of induction motors
10.1186/s13362-023-00134-5 · 2023 · External reference
Inexact and truncated parareal-in-time krylov subspace methods for parabolic optimal control problems
2013 · External reference
Parallel-in-time for parabolic optimal control problems using pfasst
2018 · External reference
A non-intrusive parallel-in-time approach for simultaneous optimization with unsteady pdes
10.1080/10556788.2018.1504050 · 2019 · External reference
Reducing time and memory requirements in topology optimization of transient problems
10.1002/nme.7461 · 2024 · External reference
Unresolved reference
2024 · External reference
Parabolic multi-grid methods
1983 · External reference
Multigrid methods with space–time concurrency
10.1007/s00791-017-0283-9 · 2017 · External reference
A space-time multigrid method for parabolic partial differential equations
10.1137/0916050 · 1995 · External reference
Multigrid method based on a space-time approach with standard coarsening for parabolic problems
2018 · External reference
Analysis of a new space-time parallel multigrid algorithm for parabolic problems
10.1137/15m1046605 · 2016 · External reference
Space-time geometric multigrid method for nonlinear advection–diffusion problems
10.1080/00036811.2022.2039387 · 2022 · External reference
Unresolved reference
2024 · External reference
Space-time discontinuous galerkin discretizations for linear first-order hyperbolic evolution systems
10.1515/cmam-2016-0015 · 2016 · External reference
Unresolved reference
2021 · External reference
Unresolved reference
2018 · External reference
Unresolved reference
2019 · External reference
Optimal shape design as a material distribution problem
10.1007/bf01650949 · 1989 · External reference
Generalized shape optimization without homogenization
10.1007/bf01742754 · 1992 · External reference
An accurate and robust multigrid algorithm for 2d forward resistivity modelling
10.1111/j.1365-2478.2004.00411.x · 2004 · External reference
Unresolved reference
1988 · External reference
Theoretical and practical aspects of a multigrid method
10.1137/0903025 · 1982 · External reference
Topology optimization of conductive heat transfer devices: An experimental investigation
10.1016/j.applthermaleng.2017.12.026 · 2018 · External reference
Filters in topology optimization
10.1002/nme.116 · 2001 · External reference
The method of moving asymptotes—a new method for structural optimization
10.1002/nme.1620240207 · 1987 · External reference
Tangent operators and design sensitivity formulations for transient non-linear coupled problems with applications to elastoplasticity
10.1002/nme.1620371408 · 1994 · External reference
