A constrained optimization approach to finite element mesh smoothing
Finite Elements in Analysis and Design
Optismoothing: an optimization-driven approach to mesh smoothing
Finite Elements in Analysis and Design - Special issue—Robert J. Melosh medal competition
SCG '99 Proceedings of the fifteenth annual symposium on Computational geometry
Optimal point placement for mesh smoothing
SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
Smoothing by optimisation for a quadrilateral mesh with invalid elements
Finite Elements in Analysis and Design
Quality tetrahedral mesh smoothing via boundary-optimized Delaunay triangulation
Computer Aided Geometric Design
Finite Elements in Analysis and Design
New software developments for quality mesh generation and optimization from biomedical imaging data
Computer Methods and Programs in Biomedicine
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A new mesh smoothing algorithm that can improve poor-quality meshes, such as meshes with badly shaped elements, is presented. Such meshes are problematic for finite element analysis since the presence of poorly formed mesh elements can reduce the accuracy of the analysis. The new algorithm introduced here improves mesh quality by adjusting the position of the mesh's internal nodes based on optimization of a torsion spring system. The Gauss-Newton method is used to optimize this spring system's objective function to obtain the optimal location of each internal node. Demonstration of the improvement offered by application of the algorithm to real meshes is also made.