Many physical phenomena in science and engineering can be modeled by partial differential equations (PDEs) and solved by means of the Finite Element Method (FEM). Such a method uses as computational spatial support a mesh of the domain where the equations are formulated. Mesh quality is a key-point
Surface mesh quality evaluation
β Scribed by Pascal J. Frey; Houman Borouchaki
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 392 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0029-5981
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β¦ Synopsis
This paper proposes a method to evaluate the size quality as well as the shape quality of constrained surface meshes, the constraint being either a given metric or the geometric metric associated with the surface geometry. In the context of numerical simulations, the metric speciΓΏcations are those related to the ΓΏnite element method. The proposed measures allow to validate the surface meshes within a general mesh adaption scheme, the metric map being usually provided via an a posteriori error estimate. Several examples of surface meshes are proposed to illustrate the relevance of the approach.
π SIMILAR VOLUMES
A method is presented for controlling element sizes on the interior of areas during surface meshing. A Delaunay background mesh is de"ned over which natural neighbour interpolation, a neighbourhoodbased interpolation scheme, is used to generate a sizing function. The sizing function may be used to i
## Abstract A highβquality triangular meshing is proposed for surfaces defined by linear Lie algebra. It is known that linear Lie algebra can define a variety of surfaces including a certain type of nonalgebraic surfaces as well as algebraic ones. Therefore, it is also applicable to the field of co