Efficient EM modeling based on conversion of triangular mesh into quadrilateral mesh

Kolundžija, Branko M.; Mrdakovic, Branko Lj.; Kostic, Milan M.; Sumic, D.S.

doi:10.1109/iceaa.2009.5297630

Cited by 5 publications

(4 citation statements)

References 6 publications

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“…Meshed models obtained using three mesh techniques are shown in Figure 1. The quantity used to estimate the accuracy of RCS results is the mean error (in dB), the calculation of which is described in [5]. Mean error for three different meshes is shown in Figure 2.…”

Section: Numerical Examplesmentioning

confidence: 99%

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Quadrilateral meshing technique optimized for higher order basis functions

Mrdakovic

Kostic

Zoric

et al. 2013

2013 IEEE Antennas and Propagation Society International Symposium (APSURSI)

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Section: Numerical Examplesmentioning

confidence: 99%

“…The first one implies direct creation of mesh elements by using WIPL-D Pro objects or manual creation of quad patches. The second algorithm is related to automatic meshing of the 3D CAD model [5] and is based on creation of a triangular mesh and conversion of this mesh into a quadrilateral mesh.…”

Section: Introductionmentioning

confidence: 99%

Quadrilateral meshing technique optimized for higher order basis functions

Mrdakovic

Kostic

Zoric

et al. 2013

2013 IEEE Antennas and Propagation Society International Symposium (APSURSI)

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“…The major difference between the new meshing technique and the other two techniques is that the new technique creates a quad mesh directly. The two other techniques are based on creation of a triangular mesh and conversion of this mesh into a quadrilateral mesh [6].…”

Section: Introductionmentioning

confidence: 99%

A new method for quadrilateral meshing of arbitrary shaped geometry based on meshing of flat polygons

Mrdakovic

Kostic

Zoric

et al. 2014

The 8th European Conference on Antennas and Propagation (EuCAP 2014)

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EM modeling of real life structures in the majority of cases starts from an appropriate CAD model. In order to prepare such a model for EM simulation, the model has to be meshed. The number of unknowns can be dramatically reduced by using higher order basis functions and a quadrilateral mesh. A novel and efficient quadrilateral mesh technique, optimized for higher order basis functions, is presented in this paper. The efficiency and accuracy of this technique is compared with two other meshing techniques, which are based on creation of a triangular mesh and conversion of this mesh into a quadrilateral mesh.Index Terms-method of moments, quadrilateral mesh, higher order basis functions, direct meshing technique.I.

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“…In general, a more accurate geometrical modeling of composite structures and a more efficient corresponding analysis requires different building elements, commonly triangles and quadrilaterals [19]. It is also reported that using solely quadrilateral meshing instead of triangular one could lead to a substantial reduction of the necessary number of degrees of freedom [20].…”

Section: Introductionmentioning

confidence: 99%

On the Analytic-Numeric Treatment of Weakly Singular Integrals on Arbitrary Polygonal Domains

Lopez-Pena¹,

Polimeridis

Mosig³

2011

PIER

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Abstract-An alternative analytical approach to calculate the weakly singular free-space static potential integral associated to uniform sources is presented. Arbitrary oriented flat polygons are considered as integration domains. The technique stands out by its mathematical simplicity and it is based on a novel integral transformation. The presented formula is equivalent to others existing in literature, being also concise and suitable within a singularity subtraction framework. Generalized Cartesian product rules built on the double exponential formula are utilized to integrate numerically the resulting analytical 2D potential integral. As a consequence, drawbacks associated to endpoint singularities in the derivative of the potential are tempered. Numerical examples within a surface integral equation-Method of Moments framework are finally provided.

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Efficient EM modeling based on conversion of triangular mesh into quadrilateral mesh

Cited by 5 publications

References 6 publications

Quadrilateral meshing technique optimized for higher order basis functions

Quadrilateral meshing technique optimized for higher order basis functions

A new method for quadrilateral meshing of arbitrary shaped geometry based on meshing of flat polygons

On the Analytic-Numeric Treatment of Weakly Singular Integrals on Arbitrary Polygonal Domains

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