Kamenski 2021a - Revision history

Scipediacontent at 17:20, 21 June 2021

2021-06-21T17:20:25Z

Scipediacontent: Scipediacontent moved page Draft Content 136554056 to Kamenski 2021a

2021-06-21T17:10:40Z

Scipediacontent moved page Draft Content 136554056 to Kamenski 2021a

Scipediacontent: Created page with "== Abstract == Highly adapted or misshaped meshes can have a strong influence on the conditioning of the finite element (FE) equations, which, in turn, has an impact on conve..."

2021-06-21T17:10:37Z

Created page with "== Abstract == Highly adapted or misshaped meshes can have a strong influence on the conditioning of the finite element (FE) equations, which, in turn, has an impact on conve..."

New page

== Abstract ==

Highly adapted or misshaped meshes can have a strong influence on the conditioning of the finite element (FE) equations, which, in turn, has an impact on convergence properties and accuracy of iterative methods for solving the resulting linear systems. In most of the available work, some local or global mesh regularity properties are required in order to bound the constants during the derivation of the estimates, which causes degeneration of these estimates in case of extreme mesh geometries or strong irregular anisotropic adaptation. The provided bound for the smallest eigenvalue of the FE equations has a similar form as the one by Graham and McLean [SIAM J. Numer. Anal., 44 (2006), pp. 1487–1513] but doesn't require any mesh regularity assumptions, neither global nor local. In particular, it is valid for highly adaptive, anisotropic, or non-regular meshes without any restrictions.

== Video ==
{{#evt:service=cloudfront|id=258440|alignment=center|filename=121.mp4}}

== Document ==
<pdf>Media:Draft_Content_136554056A_IDC6_121.pdf</pdf>

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-== Abstract ==
+== Summary ==
 Highly adapted or misshaped meshes can have a strong influence on the conditioning of the finite element (FE) equations, which, in turn, has an impact on convergence properties and accuracy of iterative methods for solving the resulting linear systems. In most of the available work, some local or global mesh regularity properties are required in order to bound the constants during the derivation of the estimates, which causes degeneration of these estimates in case of extreme mesh geometries or strong irregular anisotropic adaptation. The provided bound for the smallest eigenvalue of the FE equations has a similar form as the one by Graham and McLean [SIAM J. Numer. Anal., 44 (2006), pp. 1487–1513] but doesn't require any mesh regularity assumptions, neither global nor local. In particular, it is valid for highly adaptive, anisotropic, or non-regular meshes without any restrictions.
-−
 == Video ==
 {{#evt:service=cloudfront|id=258440|alignment=center|filename=121.mp4}}

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