scholarly journals simple technique for unstructured mesh generation via adaptive finite elements

2021 ◽  
Vol 54 (2) ◽  
pp. 69-79
Author(s):  
Tom Gustafsson
Keyword(s):  
Finite Element ◽  
Mesh Generation ◽  
Unstructured Mesh ◽  
Simple Technique ◽  
Smoothing Algorithm ◽  
Adaptive Finite Element ◽  
Mesh Smoothing ◽  
Adaptive Finite Element Methods ◽  
Mesh Generator ◽  
Unstructured Mesh Generation

This work describes a concise algorithm for the generation of triangular meshes with the help of standard adaptive finite element methods. We demonstrate that a generic adaptive finite element solver can be repurposed into a triangular mesh generator if a robust mesh smoothing algorithm is applied between the mesh refinement steps. We present an implementation of the mesh generator and demonstrate the resulting meshes via examples.

scholarly journals Adaptive finite element methods in geodynamics

2008 ◽  
Vol 18 (7/8) ◽  
pp. 1015-1035 ◽  
Author(s):  
D.R. Davies ◽  
J.H. Davies ◽  
O. Hassan ◽  
K. Morgan ◽  
P. Nithiarasu
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Adaptive Finite Element ◽  
Adaptive Finite Element Methods

Finite Element Mesh Generator Applying Constraints’ Propagation and Isoparametric Mapping

1991 ◽  
Author(s):  
J. Rodriguez ◽  
M. Him
Keyword(s):  
Finite Element ◽  
Mesh Generation ◽  
Element Model ◽  
Finite Element Mesh ◽  
Fe Model ◽  
Element Analysis ◽  
Element Mesh ◽  
Mesh Generator ◽  
Generation Algorithm ◽  
Essential Input

Abstract This paper presents a finite element mesh generation algorithm (PREPAT) designed to automatically discretize two-dimensional domains. The mesh generation algorithm is a mapping scheme which creates a uniform isoparametric FE model based on a pre-partitioned domain of the component. The proposed algorithm provides a faster and more accurate tool in the pre-processing phase of a Finite Element Analysis (FEA). A primary goal of the developed mesh generator is to create a finite element model requiring only essential input from the analyst. As a result, the generator code utilizes only a sketch, based on geometric primitives, and information relating to loading/boundary conditions. These conditions represents the constraints that are propagated throughout the model and the available finite elements are uniformly mapped in the resulting sub-domains. Relative advantages and limitations of the mesh generator are discussed. Examples are presented to illustrate the accuracy, efficiency and applicability of PREPAT.

Mesh Refinement Formulations in Adaptive Finite Element Methods

1996 ◽  
Vol 210 (4) ◽  
pp. 353-361 ◽  
Author(s):  
L-Y Li ◽  
P Bettess ◽  
J W Bull ◽  
T Bond
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Mesh Refinement ◽  
Adaptive Finite Element ◽  
Global Level ◽  
Adaptive Finite Element Methods ◽  
Element Level ◽  
Adaptive Remeshing ◽  
Numerical Examples ◽  
New Ideas

This paper presents some new ideas for developing adaptive remeshing strategies. It is shown that correct mesh refinement formulations should be defined at an element level rather than a global level. To accomplish this, permissible element errors are required to be defined. This paper describes the methods to determine the permissible element errors. Two mesh refinement formulations are derived according to different accuracy definitions and are compared with the conventional mesh refinement formulation derived at the global level. Numerical examples are shown to explain the features of these mesh refinement formulations. Recommendations are made for use of these mesh refinement formulations.

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