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Can a mesh generator be used in a finite element method?
Mesh generators used in conjunction with the finite element method do not always produce good quality meshes1. Within the mesh generation process, ill shaped elements can be created, and this can lead to significant solution errors, particularly in regions where there is rapid solution change.
Why are mesh generation methods used in science?
As mesh generation methods evolved to handle complex three dimensional configurations, and the choice of element type broadened to include not just hexahedra but also tetrahedra and prisms, visual inspection of a mesh became much more difficult.
How is block-structured meshing used in hex generation?
In block-structured meshing, the domain is divided into large subregions, each of which is a structured mesh. Some direct methods start with a block-structured mesh and then move the mesh to conform to the input; see Automatic Hex-Mesh Generation based on polycube.
What are the highest dimensional entities in a mesh?
In finite elements, the highest-dimensional mesh entities are called “elements,” “edges” are 1D and “nodes” are 0D. If the elements are 3D, then the 2D entities are “faces.”
When to use toboundarymesh in element generation?
Among other uses, ToBoundaryMesh is useful if a numerical method only needs a boundary representation. One important point to keep in mind is that regardless of which way the element mesh is created, the element mesh is, except in simple cases, only an approximation to the exact region.
What is the importance of element mesh generation?
One important point to keep in mind is that regardless of which way the element mesh is created, the element mesh is, except in simple cases, only an approximation to the exact region. The exactness with which the element mesh captures essential parts of the region is crucial to the overall quality of the numerical solution.
What’s the difference between explicit and manual mesh generation?
By contrast, explicit mesh generation is based on converting an explicit representation such as a GraphicsComplex into an element mesh. Manual mesh generation also falls into this explicit category.