Julio at 20:18, 5 October 2019

2019-10-05T20:18:45Z

Move page script: Move page script moved page Samper et al 2018i to Nadunkandi et al 2012a

2019-02-01T11:40:17Z

Move page script moved page Samper et al 2018i to Nadunkandi et al 2012a

Cinmemj: Cinmemj moved page Draft Samper 728251882 to Samper et al 2018i

2018-12-10T13:45:48Z

Cinmemj moved page Draft Samper 728251882 to Samper et al 2018i

Cinmemj at 13:45, 10 December 2018

2018-12-10T13:45:10Z

Cinmemj: Created page with "==1 Title, abstract and keywords

← Older revision		Revision as of 20:18, 5 October 2019
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−	~~Published in ''Computer Methods in Applied Mechanics and Engineering'' Vol. 213-216, pp. 327-352, 2012<br />~~
−	~~doi: 10.1016/j.cma.2011.10.003~~
	== Abstract ==		== Abstract ==

	A multidimensional extension of the HRPG method using the lowest order block finite elements is presented. First, we design a nondimensional element number that quantifies the characteristic layers which are found only in higher dimensions. This is done by matching the width of the characteristic layers to the width of the parabolic layers found for a fictitious 1D reaction–diffusion problem. The nondimensional element number is then defined using this fictitious reaction coefficient, the diffusion coefficient and an appropriate element size. Next, we introduce anisotropic element length vectors li and the stabilization parameters αi, βi are calculated along these li. Except for the modification to include the new dimensionless number that quantifies the characteristic layers, the definitions of αi, βi are a direct extension of their counterparts in 1D. Using αi, βi and li, objective characteristic tensors associated with the HRPG method are defined. The numerical artifacts across the characteristic layers are manifested as the Gibbs phenomenon. Hence, we treat them just like the artifacts formed across the parabolic layers in the reaction-dominant case. Several 2D examples are presented that support the design objective—stabilization with high-resolution		A multidimensional extension of the HRPG method using the lowest order block finite elements is presented. First, we design a nondimensional element number that quantifies the characteristic layers which are found only in higher dimensions. This is done by matching the width of the characteristic layers to the width of the parabolic layers found for a fictitious 1D reaction–diffusion problem. The nondimensional element number is then defined using this fictitious reaction coefficient, the diffusion coefficient and an appropriate element size. Next, we introduce anisotropic element length vectors li and the stabilization parameters αi, βi are calculated along these li. Except for the modification to include the new dimensionless number that quantifies the characteristic layers, the definitions of αi, βi are a direct extension of their counterparts in 1D. Using αi, βi and li, objective characteristic tensors associated with the HRPG method are defined. The numerical artifacts across the characteristic layers are manifested as the Gibbs phenomenon. Hence, we treat them just like the artifacts formed across the parabolic layers in the reaction-dominant case. Several 2D examples are presented that support the design objective—stabilization with high-resolution
		+
		+	==Full document==
		+	<pdf>Media:Nadunkandi_et_al_2012a_9098_CMAME_2012.pdf</pdf>

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-==1 Title, abstract and keywords<!-- Your document should start with a concise and informative title. Titles are often used in information-retrieval systems. Avoid abbreviations and formulae where possible. Capitalize the first word of the title.
+Published in ''Computer Methods in Applied Mechanics and Engineering''  Vol. 213-216, pp. 327-352, 2012<br />
-Provide a maximum of 6 keywords, and avoiding general and plural terms and multiple concepts (avoid, for example, 'and', 'of'). Be sparing with abbreviations: only abbreviations firmly established in the field should be used. These keywords will be used for indexing purposes.
+A multidimensional extension of the HRPG method using the lowest order block finite elements is presented. First, we design a nondimensional element number that quantifies the characteristic layers which are found only in higher dimensions. This is done by matching the width of the characteristic layers to the width of the parabolic layers found for a fictitious 1D reaction–diffusion problem. The nondimensional element number is then defined using this fictitious reaction coefficient, the diffusion coefficient and an appropriate element size. Next, we introduce anisotropic element length vectors li and the stabilization parameters αi, βi are calculated along these li. Except for the modification to include the new dimensionless number that quantifies the characteristic layers, the definitions of αi, βi are a direct extension of their counterparts in 1D. Using αi, βi and li, objective characteristic tensors associated with the HRPG method are defined. The numerical artifacts across the characteristic layers are manifested as the Gibbs phenomenon. Hence, we treat them just like the artifacts formed across the parabolic layers in the reaction-dominant case. Several 2D examples are presented that support the design objective—stabilization with high-resolution
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← Older revision	Revision as of 11:40, 1 February 2019
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← Older revision	Revision as of 13:45, 10 December 2018
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Nadunkandi et al 2012a - Revision history

Julio at 20:18, 5 October 2019

Move page script: Move page script moved page Samper et al 2018i to Nadunkandi et al 2012a

Cinmemj: Cinmemj moved page Draft Samper 728251882 to Samper et al 2018i

Cinmemj at 13:45, 10 December 2018

Cinmemj: Created page with "==1 Title, abstract and keywords