SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Tetrahedral and hexahedral mesh adaptation for CFD problems
Proceedings of international centre for mathematical sciences on Grid adaptation in computational PDES : theory and applications: theory and applications
A new 3D adaptive finite element scheme with 1-irregular hexahedral element meshes
SAC '00 Proceedings of the 2000 ACM symposium on Applied computing - Volume 1
Algebraic Mesh Quality Metrics
SIAM Journal on Scientific Computing
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
libMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations
Engineering with Computers
Topologic and geometric constraint-based hexahedral mesh generation
Topologic and geometric constraint-based hexahedral mesh generation
A methodology for quadrilateral finite element mesh coarsening
Engineering with Computers - Special Issue: 5th Symposium on Trends in Unstructured Mesh Generation in 2006. Guest Editor: Steven J. Owen
Adaptive generation and local refinement methods of three-dimensional hexahedral element mesh
Finite Elements in Analysis and Design
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Mesh adaptation methods can improve the efficiency and accuracy of solutions to computational modeling problems. In many applications involving quadrilateral and hexahedral meshes, local modifications which maintain the original element type are desired. For triangle and tetrahedral meshes, effective refinement and coarsening methods that satisfy these criteria are available. Refinement methods for quadrilateral and hexahedral meshes are also available. However, due to the added complexity of maintaining and satisfying constraints in quadrilateral and hexahedral mesh topology, little research has occurred in the area of coarsening or simplification. This paper presents methods to locally coarsen conforming all-quadrilateral and all-hexahedral meshes. The methods presented provide coarsening while maintaining conforming all-quadrilateral and all-hexahedral meshes. Additionally, the coarsening is not dependent on reversing a previous refinement. Several examples showing localized coarsening are provided.