Mesh generation with adaptive finite element analysis

Hinton, E.; Rao, N. Bheema; Özakça, Mustafa

doi:10.1016/0961-3552(91)90030-8

Cited by 17 publications

(8 citation statements)

References 17 publications

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“…Originally, the advancing-front method was developed, as a part of a finite-element procedure, for triangulating a region in a plane [13,14]. In recent years, the method was extended to handle three dimensional stationary surfaces with applications in aerodynamics [15][16][17][18]. The highlights of the method in three dimensions are: adaptive triangulation according to a measure of the local surface curvature; reasonably uniform distribution of triangle sizes; effective control of triangle skewness; and reduced user intervention.…”

Section: Figmentioning

confidence: 99%

Adaptive Triangulation of Evolving, Closed, or Open Surfaces by the Advancing-Front Method

Kwak¹,

Pozrikidis²

1998

Journal of Computational Physics

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Section: Figmentioning

confidence: 99%

Adaptive Triangulation of Evolving, Closed, or Open Surfaces by the Advancing-Front Method

Kwak¹,

Pozrikidis²

1998

Journal of Computational Physics

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“…(9). The next separator, S nC1 will then be located on B v0 with its first end point as S nC1 P 1 , as usual.…”

Section: Case-1mentioning

confidence: 99%

“…The most common approach to mesh generic 3D surfaces is to map the Cartesian characteristics on to a parametric plane, through appropriate functions [1][2][3][4][5][6][7][8][9][10][11][12].…”

Section: Three-dimensional Surface Meshingmentioning

confidence: 99%

On the meshing of trimmed 3D surfaces

Marur

2005

Advances in Engineering Software

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“…The total error in the problem is the sum of the elemental contributions (4) Obviously, the exact solution is unknown and, therefore, it is impossible to know the exact error or the exact accuracy. However, it is possible to obtain an estimation.…”

Section: Curl-recovery Error Indicatormentioning

confidence: 99%

New recovery error indicator for adaptive finite-element analysis on waveguiding structures

Díaz‐Morcillo

Balbastre

Nuño

2003

IEEE Trans. Microwave Theory Techn.

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Abstract-The adaptive finite-element method (FEM) is an iterative variant of the FEM where, in a first step, an initial mesh with few and low-order elements is generated, the corresponding algebraic problem is solved and the error in the solution is estimated in order to add degrees of freedom in those regions of the domain with the biggest error estimation. This process is repeated until an ending condition is reached. The two basic stages in this method are the error indication and the mesh enrichment. In this paper, within the analysis of waveguiding structures, a new error indicator based on the curl recovery is described. In addition, an overview on refinement techniques is presented, and the -refinement employed in this study is briefly described. Results obtained with the curl-recovery indicator are discussed and compared with the classical nonadaptive FEM and two previously developed error indicators: the residual and flux continuity indicators.

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Mesh generation with adaptive finite element analysis

Cited by 17 publications

References 17 publications

Adaptive Triangulation of Evolving, Closed, or Open Surfaces by the Advancing-Front Method

Adaptive Triangulation of Evolving, Closed, or Open Surfaces by the Advancing-Front Method

On the meshing of trimmed 3D surfaces

New recovery error indicator for adaptive finite-element analysis on waveguiding structures

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