Introducing the target-matrix paradigm for mesh optimization via node-movement
نویسندگان
چکیده
منابع مشابه
A general framework to improve mesh quality via node-movement
Objective functions for unstructured hexahedral and tetrahedral mesh optimization are analyzed using matrices and matrix norms. Mesh untangling objective functions that create valid meshes are used to initialize the optimization process. Several new objective functions to achieve element invertibility and quality are investigated, the most promising being the “condition number”. The condition n...
متن کاملAchieving !nite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part I—a framework for surface mesh optimization‡
Structured mesh quality optimization methods are extended to optimization of unstructured triangular, quadrilateral, and mixed !nite element meshes. New interpretations of well-known nodally based objective functions are made possible using matrices and matrix norms. The matrix perspective also suggests several new objective functions. Particularly signi!cant is the interpretation of the Oddy m...
متن کاملTetrahedral mesh improvement via optimization of the element condition number
We present a new shape measure for tetrahedral elements that is optimal in that it gives the distance of a tetrahedron from the set of inverted elements. This measure is constructed from the condition number of the linear transformation between a unit equilateral tetrahedron and any tetrahedron with positive volume. Using this shape measure, we formulate two optimization objective functions tha...
متن کاملTetrahedral mesh improvement via optimization of the elementcondition
SUMMARY We present a new shape measure for tetrahedral elements that is optimal in that it gives the distance of a tetrahedron from the set of inverted elements. This measure is constructed from the condition number of the linear transformation between a unit equilateral tetrahedron and any tetrahedron with positive volume. Using this shape measure, we formulate two optimization objective funct...
متن کاملTetrahedral mesh improvement via optimization of the elementcondition numberLori
SUMMARY We present a new shape measure for tetrahedral elements that is optimal in that it gives the distance of a tetrahedron from the set of inverted elements. This measure is constructed from the condition number of the linear transformation between a unit equilateral tetrahedron and any tetrahedron with positive volume. Using this shape measure, we formulate two optimization objective funct...
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ژورنال
عنوان ژورنال: Engineering with Computers
سال: 2011
ISSN: 0177-0667,1435-5663
DOI: 10.1007/s00366-011-0230-1