On the design of higher-order curl-conforming finite elements and its assembly features

Amor-Martín, Adrián; García-Doñoro, Daniel; Garcı́a-Castillo, L.E.

doi:10.1109/nemo.2017.7964233

Cited by 4 publications

(6 citation statements)

References 3 publications

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“…Finally, as the triangular prism is a hybrid of the former two spaces, ortv version performs better with triangular deformations while parv strategy shows better-conditioned basis functions for rectangular deformations, as shown in Ref. 12. For prisms, note that the face DOFs involved in the assembly are the same as in tetrahedra and hexahedra, but the space of functions is different: thus, the result in Ref.…”

Section: Discussionmentioning

confidence: 92%

“…In Ref. 12, it was observed a different behavior between the assembly between triangular and rectangular faces: ortv version always offers a better result but it is less advantageous for rectangular faces. To draw final conclusions, this analysis is expanded to tetrahedra and hexahedra where only triangular and rectangular faces are considered (and not a mix between those two).…”

Section: Numerical Resultsmentioning

confidence: 99%

“…For prisms, note that the face DOFs involved in the assembly are the same as in tetrahedra and hexahedra, but the space of functions is different: thus, the result in Ref. 12 is not as straightforward as it seems. He has been the Principal Investigator of three projects of the National Plan of Research, Spain, one of the Regional Plan of Research, Madrid, and one with the American Air Force Office of Scientific Research, Arlington County, VA.…”

Section: Discussionmentioning

confidence: 99%

“…The choice of this vector q is important since the condition number of the final FEM matrices is affected, as shown in Ref. 12. Moreover, if these vectors are not the same between neighbors, the traces of basis functions in the tangential sense may not be equal and curl-conformity of the finite element approximation will be lost.…”

Section: Assembly-oriented Strategiesmentioning

confidence: 99%

See 3 more Smart Citations

Construction of higher‐order curl‐conforming finite elements and its assembly

Amor-Martín

Garcı́a-Castillo

2019

Int J RF Microw Comput Aided Eng

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Different choices are available when constructing vector finite element bases in real coordinates. In this communication, two different designs of higher‐order curl‐conforming basis functions are introduced and explained, showing the particularities of its assembly. Tetrahedra and hexahedra are used as element shapes to assess the effect of triangular and quadrilateral faces on the two considered constructions of basis functions. A comparison of their robustness in terms of the condition number of the finite element matrices for a number of distortions is included.

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Section: Discussionmentioning

confidence: 92%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Assembly-oriented Strategiesmentioning

confidence: 99%

See 2 more Smart Citations

Construction of higher‐order curl‐conforming finite elements and its assembly

Amor-Martín

Garcı́a-Castillo

2019

Int J RF Microw Comput Aided Eng

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show abstract

“…Se debe mencionar que para realizar correctamente la suma de los términos hay que introducir un sentido geométrico que nos ayude a garantizar en esta familia de funciones la continuidad de las componentes transversales del campo E o H [71,72].…”

Section: Ensambladounclassified

Mesh-based multi-frontal solver with reuse of partial LU factorizations for antenna array

Martínez-Fernández

Woźniak

Garcı́a-Castillo

et al. 2017

Journal of Computational Science

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The optimal design model for a new type of scraper and research on its material properties

Hao

Song

Liu

et al. 2022

Preprint

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Mining scrapers as an important part of scraper conveyors are highly prone to wear and fatigue failure. A new scraper capable of turning sliding friction into rolling friction was designed to limit wear and reduce failure rate. To determine the safety and reliability of the new scraper, numerical pulling force measurement was made on its physical model and finite element analysis was performed on its 3D model based on SolidWorks Simulation. The results are then compared with data of the traditional scraper. Numerical pulling force measurement results indicated impressively lower friction for the new scraper. Stress, strain, and displacement distributions obtained by static stress analysis based on SolidWorks Simulation proved conformance with the strength and deflection standards. Damage percentage and total life nephograms yielded from fatigue analysis indicated no significant life reduction. Numerical pulling force measurement combined with analysis based on SolidWorks Simulation can help reduce the production cost and development cycle. It plays a great role in determining the safety, reliability, and stability of the new scraper.

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On the design of higher-order curl-conforming finite elements and its assembly features

Cited by 4 publications

References 3 publications

Construction of higher‐order curl‐conforming finite elements and its assembly

Construction of higher‐order curl‐conforming finite elements and its assembly

Mesh-based multi-frontal solver with reuse of partial LU factorizations for antenna array

The optimal design model for a new type of scraper and research on its material properties

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