Numerical instabilities in topology optimization¶
Sigmund, O., & Petersson, J. (1998). Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Structural Optimization, 16(1), 68-75.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Mechanisms¶
- Topology Optimization for Void Placement
- Density-based optimization is prone to checkerboarding and mesh-dependence, patterns that look optimal but are grid artifacts rather than real structure, and are only tamed by filtering and a minimum length scale.
This sourceIdentifies checkerboarding and mesh dependence as numerical artifacts in topology optimization and explains how filtering with a local minimum scale suppresses them.
- Density-based optimization is prone to checkerboarding and mesh-dependence, patterns that look optimal but are grid artifacts rather than real structure, and are only tamed by filtering and a minimum length scale.
Verification¶
Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.
Does it back the claim? Not recorded. The single citation of this work carries no recorded support check.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:c4688f587598 · see in the full table