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Introducing the Target-Matrix Paradigm for Mesh Optimization via Node-movement

Patrick Knupp

Proceedings, 19th International Meshing Roundtable, Springer-Verlag, pp.67-84, October 3-6 2010


19th International Meshing Roundtable
Chattanooga, Tennessee, USA.
October 3-6, 2010

Sandia National Laboratories

A general-purpose algorithm for mesh optimization via nodemovement, known as the Target-Matrix Paradigm, is introduced. The algorithm is general purpose in that it can be applied to a wide variety of mesh and element types, and to various commonly recurring mesh optimization problems such as shape improvement, and to more unusual problems like boundary-layer preservation with sliver removal, high-order mesh improvement, and edge-length equalization. The algorithm can be considered to be a direct optimization method in which weights are automatically constructed to enable de├śnitions of application-speci├śc mesh quality. The high-level concepts of the paradigm have been implemented in the Mesquite mesh-improvement library, along with a number of concrete algorithms that address mesh quality issues such as those shown in the examples of the present paper.

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