When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization | Paper Citation Record

Observation b23fd878-8424-44ca-bd5a-0f081505c26a · outbound

This paper cites Generating optimal topologies in structural design using a homogenization method.Computer Methods in Applied Mechanics and Engineering, 71(2):197–224, 1988.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Generating optimal topologies in structural design using a homogenization method.Computer Methods in Applied Mechanics and Engineering, 71(2):197–224, 1988

Reference 1

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Observation 31e0f1b3-0b8c-45b2-9fae-d65f954c6d43 · outbound

This paper cites Bendsøe and Ole Sigmund.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Bendsøe and Ole Sigmund

Reference 2

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Observation bc39da68-e84d-4ce6-965b-ac87f11cfdcb · outbound

This paper cites Bendsøe and Ole Sigmund.Topology Optimization: Theory, Methods, and Applications.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Bendsøe and Ole Sigmund.Topology Optimization: Theory, Methods, and Applications

Reference 3

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Observation 4494a585-fdeb-4be9-b85f-cafbdd4fd763 · outbound

This paper cites Filters in topology optimization.International Journal for Numerical Methods in Engineering, 50(9):2143–2158, 2001.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Filters in topology optimization.International Journal for Numerical Methods in Engineering, 50(9):2143–2158, 2001

Reference 4

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Observation e2ea140e-e5e8-4c8b-ac4f-a24ca4ae9063 · outbound

This paper cites Lazarov and Ole Sigmund.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Lazarov and Ole Sigmund

Reference 5

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Observation 3afdcb41-88e0-4f21-adc4-6a439bdea990 · outbound

This paper cites Guest, Jean H.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Guest, Jean H

Reference 6

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Observation 7fc13472-32f1-41bf-9d60-8ed9aedcd46b · outbound

This paper cites Lazarov, and Ole Sig- mund.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Lazarov, and Ole Sig- mund

Reference 7

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Observation 13bebc28-c336-409a-a61d-0f0c443bb066 · outbound

This paper cites A new generation 99 line Matlab code for compliance topology optimization and its extension to 3d.Structural and Multidisciplinary Optimization, 62(4):2211–2228, 2020.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization A new generation 99 line Matlab code for compliance topology optimization and its extension to 3d.Structural and Multidisciplinary Optimization, 62(4):2211–2228, 2020

Reference 8

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Observation 05cbc40b-5b79-4b85-949d-0699e56b38d5 · outbound

This paper cites Topology optimization approaches.Structural and Multidis- ciplinary Optimization, 48(6):1031–1055, 2013.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Topology optimization approaches.Structural and Multidis- ciplinary Optimization, 48(6):1031–1055, 2013

Reference 9

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Observation 81ba41b4-14e1-458b-9334-d9bc153531f3 · outbound

This paper cites an unresolved cited work.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Unresolved cited work

Reference 10

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Observation 4bac4445-a4ac-4be7-b63e-2a42c697e6e7 · outbound

This paper cites an unresolved cited work.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-08-01T17:08:22.233226Z

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Observation cd722cf7-e256-4946-b926-0d126f1de9fb · outbound

This paper cites an unresolved cited work.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-08-01T17:08:22.149064Z

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Observation 04f770b9-6c14-4b79-b281-80dba6953c94 · outbound

This paper cites an unresolved cited work.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Unresolved cited work

Reference 13

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Observation e2a406de-3191-4b67-8e06-ca51e96c37c1 · outbound

This paper cites an unresolved cited work.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Unresolved cited work

Reference 14

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Observation 06572e9c-c219-433d-8b39-13c531273996 · outbound

This paper cites Lazarov, and Ole Sigmund.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Lazarov, and Ole Sigmund

Reference 15

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Observation c985ed1a-0a25-41b5-88a1-a001e76571bb · outbound

This paper cites A system for high-resolution topology optimization.IEEE Transactions on Visualization and Computer Graphics, 22(3):1195–1208,.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization A system for high-resolution topology optimization.IEEE Transactions on Visualization and Computer Graphics, 22(3):1195–1208,

Reference 16

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Observation 294124e0-9093-40c8-9fde-649e8f96dbda · outbound

This paper cites Träff, Anton Rydahl, Sven Karlsson, Ole Sigmund, and Niels Aage.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Träff, Anton Rydahl, Sven Karlsson, Ole Sigmund, and Niels Aage

Reference 17

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Observation eda49e1f-971b-416e-8861-71b10e469149 · outbound

This paper cites an unresolved cited work.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Unresolved cited work

Reference 18

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Observation 6f3e4094-50f5-4d1c-8f6f-2a25d1a0e2dd · outbound

This paper cites An efficient GPU solver for 3D topology optimization of continuous fiber-reinforced composite structures.Computer Methods in Applied Mechanics and Engineering, 435:117675, 2025.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization An efficient GPU solver for 3D topology optimization of continuous fiber-reinforced composite structures.Computer Methods in Applied Mechanics and Engineering, 435:117675, 2025

Reference 19

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Observation f049a2ad-faa2-4f0b-9f1a-f8156b1831bd · outbound

This paper cites Efficient large-scale 3D topology optimization with matrix-free MATLAB code.Structural and Multidisciplinary Optimization, 68(9):174, 2025.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Efficient large-scale 3D topology optimization with matrix-free MATLAB code.Structural and Multidisciplinary Optimization, 68(9):174, 2025

Reference 20

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Observation b00cf00b-f40f-4721-bafe-414a0aef25a5 · outbound

This paper cites Topology optimization methods for 3d structural problems: A comparative study.Archives of Computational Methods in Engineering, 29(3):1525–1567, 2022.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Topology optimization methods for 3d structural problems: A comparative study.Archives of Computational Methods in Engineering, 29(3):1525–1567, 2022

Reference 21

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Observation 93969702-aeb5-43fa-ae42-ec50c0132912 · outbound

This paper cites A parallel geometric multigrid method for adaptive topology optimization.Structural and Multidisciplinary Optimization, 66(10):225, 2023.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization A parallel geometric multigrid method for adaptive topology optimization.Structural and Multidisciplinary Optimization, 66(10):225, 2023

Reference 22

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Observation 33e0e5ab-a9f8-4cee-820c-3eaa7b7c9ea0 · outbound

This paper cites an unresolved cited work.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Unresolved cited work

Reference 23

Resolution: verified exact; doi, observed 2026-08-01T17:08:20.679806Z

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Observation befddcb2-5fcc-4771-a7b0-248bb6d1e7fa · outbound

This paper cites Effi- cienthybridtopologyoptimizationusingGPUandhomogenization-basedmultigridapproach.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Effi- cienthybridtopologyoptimizationusingGPUandhomogenization-basedmultigridapproach

Reference 24

Resolution: verified exact; doi, observed 2026-08-01T17:08:20.560614Z

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Observation 2630cdbc-044c-42dc-9620-06d0404ab975 · outbound

This paper cites Matrix-Free 3D SIMP Topology Optimization with Fused Gather-GEMM-Scatter Kernels.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Matrix-Free 3D SIMP Topology Optimization with Fused Gather-GEMM-Scatter Kernels

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-01T17:08:20.424148Z

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Observation 71955687-399b-427a-bb0f-78679092e23b · outbound

This paper cites A Matrix-Free Galerkin Multigrid Solver and Failure-Mode Screen for Single-GPU 3D SIMP Linear Systems.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization A Matrix-Free Galerkin Multigrid Solver and Failure-Mode Screen for Single-GPU 3D SIMP Linear Systems

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-01T17:08:20.104750Z

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Observation 227956ab-4768-4937-a556-871303bf571a · outbound

This paper cites an unresolved cited work.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Unresolved cited work

Reference 27

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Observation 8d8584fe-c7a0-4bd7-aa79-632d8a009d46 · outbound

This paper cites an unresolved cited work.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Unresolved cited work

Reference 28

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Observation 4355827e-f5bd-4259-9328-42eedbc369d0 · outbound

This paper cites Higham and Theo Mary.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Higham and Theo Mary

Reference 29

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Observation 8a6826a8-e336-4362-bb7c-c537775f5445 · outbound

This paper cites McCormick, Joseph Benzaken, and Rasmus Tamstorf.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization McCormick, Joseph Benzaken, and Rasmus Tamstorf

Reference 30

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Observation 76ba326f-156d-4efe-990f-14096c2eb31d · outbound

This paper cites Three-precision algebraic multigrid on GPUs.Future Generation Computer Systems, 149:280–293, 2023.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Three-precision algebraic multigrid on GPUs.Future Generation Computer Systems, 149:280–293, 2023

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Observation b3ef5517-771c-4d80-9dec-d13198efff4b · outbound

This paper cites Element connectivity parameterization for topology optimization of geometrically nonlinear structures.International Journal of Solids and Structures, 42(7):1983–2009, 2005.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Element connectivity parameterization for topology optimization of geometrically nonlinear structures.International Journal of Solids and Structures, 42(7):1983–2009, 2005

Reference 32

Resolution: verified exact; doi, observed 2026-08-01T17:08:19.882933Z

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Observation e335dd16-663d-40ad-9fc0-76618193c0f3 · outbound

This paper cites Tortorelli.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Tortorelli

Reference 33

Resolution: verified exact; doi, observed 2026-08-01T17:08:19.728928Z

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Observation c49a7448-4807-48d9-997a-c9c8c5fd0fed · outbound

This paper cites an unresolved cited work.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Unresolved cited work

Reference 34

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Observation 5747f8a3-6593-4e9f-b6e2-a777931d2472 · outbound

This paper cites A level set method for structural topology optimization.Computer Methods in Applied Mechanics and Engineering, 192(1–2): 227–246, 2003.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization A level set method for structural topology optimization.Computer Methods in Applied Mechanics and Engineering, 192(1–2): 227–246, 2003

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Observation e27f25d6-66ce-4595-95db-d35cb1fd182f · outbound

This paper cites Structural optimization using sensitivity analysis and a level-set method.Journal of Computational Physics, 194(1): 363–393, 2004.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Structural optimization using sensitivity analysis and a level-set method.Journal of Computational Physics, 194(1): 363–393, 2004

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Observation a08f0bec-6d49-4d45-80b1-15ef745a5fd2 · outbound

This paper cites MFEM: A modular finite element methods library.Computers and Mathematics with Applications, 81:42–74, 2021.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization MFEM: A modular finite element methods library.Computers and Mathematics with Applications, 81:42–74, 2021

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Observation a34219c0-a730-488d-b14a-ed166f33dbf9 · outbound

This paper cites A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid

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This paper cites High-order matrix- free incompressible flow solvers with GPU acceleration and low-order refined preconditioners.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization High-order matrix- free incompressible flow solvers with GPU acceleration and low-order refined preconditioners

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Observation 592af73a-48c5-4967-bf90-45086e35af6e · outbound

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When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Unresolved cited work

Reference 40

Resolution: verified exact; doi, observed 2026-08-01T17:08:21.625360Z

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Observation 033a39e6-acfe-4c01-acde-a43e0dcdc15e · outbound

This paper cites Stitt, Kenneth Weiss, Vladimir Z.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Stitt, Kenneth Weiss, Vladimir Z

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Observation 7eccb81d-6e82-43b3-bd06-0a697b5c4f0f · outbound

This paper cites Ham, and Paul H.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Ham, and Paul H

Reference 42

Resolution: verified exact; doi, observed 2026-08-01T17:08:21.332807Z

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Observation 2b603b33-7ccf-435b-8940-00923291a1bc · outbound

This paper cites Large-scale multigrid with adaptive Galerkin coarsening, 2025.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Large-scale multigrid with adaptive Galerkin coarsening, 2025

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Observation 5882def6-4a4b-462f-a015-ab2ea817e5db · outbound

This paper cites A flexible inner-outer preconditioned GMRES algorithm.SIAM Journal on Scientific Computing, 14(2):461–469, 1993.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization A flexible inner-outer preconditioned GMRES algorithm.SIAM Journal on Scientific Computing, 14(2):461–469, 1993

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Observation 772a9b2c-f5a1-4167-98b4-b694b5fd5f59 · outbound

This paper cites Society for Industrial and Applied Mathematics, Philadelphia, PA, 2 edition, 2003.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Society for Industrial and Applied Mathematics, Philadelphia, PA, 2 edition, 2003

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Observation 70f9e055-1b4e-4f9d-89cf-b50261b6cedd · outbound

This paper cites Briggs, Van Emden Henson, and Steve F.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Briggs, Van Emden Henson, and Steve F

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Observation 69e2eab5-d662-4c94-9d65-699cf1d15cd1 · outbound

This paper cites Oosterlee, and Anton Schüller.Multigrid.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Oosterlee, and Anton Schüller.Multigrid

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Observation 9cebeef1-8089-4437-b583-5b2f189c1efd · outbound

This paper cites AmgX: A library for GPU accelerated algebraic multigrid and preconditioned iterative methods.SIAM Journal on Scientific Computing, 37(5): S602–S626, 2015.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization AmgX: A library for GPU accelerated algebraic multigrid and preconditioned iterative methods.SIAM Journal on Scientific Computing, 37(5): S602–S626, 2015

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Observation fa8ad3df-4032-45ca-8260-36e49988ae20 · outbound

This paper cites Olson, Jacob Schroder, and Ben Southworth.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Olson, Jacob Schroder, and Ben Southworth

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Observation 12585604-694a-4748-9de9-795ec365211e · outbound

This paper cites an unresolved cited work.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Unresolved cited work

Reference 50

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Observation 3f5d28c3-48fc-4de4-b118-df1661695f7e · outbound

This paper cites Boman, Erin Carson, Terry Cojean, Jack Dongarra, Alyson Fox, Mark Gates, Nicholas J.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Boman, Erin Carson, Terry Cojean, Jack Dongarra, Alyson Fox, Mark Gates, Nicholas J

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Observation 51941c3a-7cb1-48e4-bec9-c0a6c5919d4f · outbound

This paper cites Mixed-precision numerics in scientific applications: sur- vey and perspectives.The Journal of Supercomputing, 82(5):287, 2026.

When a positive SIMP density floor is not enough: solver admissibility and guarded floor selection in matrix-free 3D topology optimization Mixed-precision numerics in scientific applications: sur- vey and perspectives.The Journal of Supercomputing, 82(5):287, 2026

Reference 52

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