Finite element mesh generation methods: a review and classification

@article{HoLe1988FiniteEM,
  title={Finite element mesh generation methods: a review and classification},
  author={K. Ho-Le},
  journal={Computer-aided Design},
  year={1988},
  volume={20},
  pages={27-38}
}
  • K. Ho-Le
  • Published 1 February 1988
  • Engineering
  • Computer-aided Design
Abstract An attempt is made to provide a clear overall picture of the finite element mesh generation field. A scheme for classifying mesh generation methods is proposed, whereby seven major mesh generation approaches are identified. The basis for classification is the temporal order in which nodes and elements are created. The published mesh generation methods are reviewed. Only four approaches are found to have fully automatic mesh generation methods. These approaches are compared on the… 
New method for graded mesh generation of quadrilateral finite elements
The well known mapping method is widely applied for mesh generation because of its efficiency, mesh quality and controllable mesh topology. One of the greatest obstacles to generating a quadrilateral
Automatic quadrilateral and hexahedral finite element mesh generation: review of existing methods
ABSTRACT In this paper, automatic quadrilateral and hexahedral mesh generation methods are reviewed. A classification is proposed and each method is explained. The first class deals with conversion
An approach to unstructured finite element mesh generation using Coons mapping and smoothing techniques
The principal ability of Coons mapping to produce high quality 2 and 3 Dimensional finite element meshes is presented in this paper. Focusing to finer non-uniform and manageable meshes, new
Automatic adaptive finite element mesh generation over arbitrary two-dimensional domain using advancing front technique
TLDR
Mesh generation examples demonstrate that the proposed mesh generator is capable of discretizing the problem domain into a well-graded, high quality adaptive finite element mesh with element sizes compatible with the user specification.
A hierarchical approach to automatic finite element mesh generation
A point-based two-stage hierarchical method for automatic finite element mesh generation from a solid model is presented. Given the solid model of a component and the required nodal density
Generation of gradation meshes by the background grid technique
Abstract A new algorithm for the generation of well-graded high-quality finite element mesh for adaptive refinement analysis is presented. The proposed mesh generation scheme is fully automatic and
3D mesh refinement procedure using the bisection and rivara algorithms with mesh quality assessment
TLDR
A couple of benchmark examples are used to compare the performance of both refinement methods in terms of mesh and size qualities, number of generated elements and CPU time consumed.
Generation of Hybrid Finite Element Mesh
: An algorithm is proposed for the generation of ‘hybrid’ finite element meshes composed of quadrilateral and triangular elements over any arbitrary planar domain. Although more complicated hybrid
Automatic generation of quadrilateral meshes for the finite element analysis of metal forming processes
This paper presents an effort to provide basic features for the fully automatic generation of graded initial quadrilateral finite element meshes to be applied in the analysis of metal forming
A novel meshing algorithm for dynamic finite element analysis
This paper describes a new algorithm to handle problems in dynamic finite element analysis and run-time simulation, where mesh re-generation or dynamic adjustment is required. Based on a concept
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 88 REFERENCES
Finite element mesh generation
TLDR
The capabilities of a geometric modeller are extended towards finite element analysis by a mesh generator which extracts all its geometric and topological information from the model, which accomodates material properties, loadcase and analysis requirements.
Mesh generation for computational analysis. Part I: Electromagnetic and technical considerations for mesh generation
TLDR
Technical specifications requiring high local accuracy can be accommodated in automatic mesh generation by permitting the user to specify a locally varying accuracy index.
A mesh generation method based on set theory
Abstract A method is proposed to study automatic generation of input data to finite element programs by the computer with minimal human involvement. Based on a set of objective criteria, a consistent
Automatic generation of finite element meshes
TLDR
A new algorithm for the automatic generation of finite element meshes of arbitrary multiply connected domains based upon the construction of a mapping from the generated mesh into a regular one is described.
Modern Methods for Automatic FE Mesh Generation
TLDR
An overview of the various Finite Element mesh generation techniques is presented, the time taken by a FE analyst to create the meshes, the savings in time because of the use of an automatic mesh generation program, and an example of a mesh created by the TRIQUAMESH technique.
Automatic three‐dimensional mesh generation by the finite octree technique
An octree-based fully automatic three-dimensional mesh generator is presented. The mesh generator is capable of meshing non-manifold models of arbitrary geometric complexity through the explicit
Automatic local refinement for irregular rectangular meshes
The use of local mesh refinements for the generation of meshes for the finite element or finite difference methods is studied. A class of rectangular meshes which admit restricted local refinements,
On a Data Structure for Adaptive Finite Element Mesh Refinements
TLDR
A general labelled tree structure is introduced for a class of nonuniform two-dimensional finite element meshes and the fundamental access algorithms on the tree are presented in a manner which lends itself to extensions to higher dimensions.
Automatic generation of quadrilateral elements by a conformal mapping
A finite element mesh generator is described based on a conformal mapping which requires little more than the definition of boundary geometry to generate a mesh. The method is restricted to plane
Two-dimensional automatic mesh generation for structural analysis (ijnme 2 (1970))
TLDR
The method uses a magnetic pen to record node point data and a computer program to generate element data and eliminates the tedium in the manual generation of data and the delay due to mistakes which would otherwise arise frequently for a complex mesh.
...
1
2
3
4
5
...