Computable Interpolation Error Constants for the Geometric Simplex Finite Elements

Journal of Scientific Computing ◽

10.1007/s10915-021-01449-4 ◽

2021 ◽

Vol 87 (1) ◽

Author(s):

Tingting Hao ◽

Xiaofei Guan ◽

Shipeng Mao ◽

Shaochun Chen

Keyword(s):

Finite Elements ◽

Interpolation Error

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Estimation of the Interpolation Error for Quadrilateral Finite Elements Which Can Degenerate into Triangles

SIAM Journal on Numerical Analysis ◽

10.1137/0714062 ◽

1977 ◽

Vol 14 (5) ◽

pp. 925-930 ◽

Author(s):

Pierre Jamet

Keyword(s):

Finite Elements ◽

Interpolation Error

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On the Interpolation Error Estimates for $Q_1$ Quadrilateral Finite Elements

SIAM Journal on Numerical Analysis ◽

10.1137/070700486 ◽

2009 ◽

Vol 47 (1) ◽

pp. 467-486 ◽

Author(s):

Shipeng Mao ◽

Serge Nicaise ◽

Zhong-Ci Shi

Keyword(s):

Finite Elements ◽

Error Estimates ◽

Interpolation Error

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Estimation of interpolation error constants for the P0 and P1 triangular finite elements

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2006.10.029 ◽

2007 ◽

Vol 196 (37-40) ◽

pp. 3750-3758 ◽

Author(s):

Fumio Kikuchi ◽

Xuefeng Liu

Keyword(s):

Finite Elements ◽

Interpolation Error ◽

Triangular Finite Elements

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p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142901387932 ◽

2003 ◽

Vol 41 (4) ◽

pp. 1195-1208 ◽

Author(s):

L. Demkowicz ◽

I. Babuska

Keyword(s):

Finite Elements ◽

Error Estimates ◽

Two Dimensions ◽

Interpolation Error ◽

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Convergence on layer-adapted meshes and anisotropic interpolation error estimates of non-standard higher order finite elements

Applied Numerical Mathematics ◽

10.1016/j.apnum.2011.02.001 ◽

2011 ◽

Vol 61 (6) ◽

pp. 723-737 ◽

Author(s):

Sebastian Franz ◽

Gunar Matthies

Keyword(s):

Finite Elements ◽

Error Estimates ◽

Higher Order ◽

Interpolation Error ◽

Higher Order Finite Elements

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Anisotropic interpolation error estimates for isoparametric quadrilateral finite elements

Computing ◽

10.1007/bf02684363 ◽

1998 ◽

Vol 60 (2) ◽

pp. 157-174 ◽

Author(s):

Th. Apel

Keyword(s):

Finite Elements ◽

Error Estimates ◽

Interpolation Error

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Interpolation Error Bounds for Curvilinear Finite Elements and Their Implications on Adaptive Mesh Refinement

Journal of Scientific Computing ◽

10.1007/s10915-018-0795-6 ◽

2018 ◽

Vol 78 (2) ◽

pp. 1045-1062 ◽

Author(s):

David Moxey ◽

Shankar P. Sastry ◽

Robert M. Kirby

Keyword(s):

Finite Elements ◽

Error Bounds ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Interpolation Error

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A mesh optimization algorithm to decrease the maximum interpolation error of linear triangular finite elements

Engineering With Computers ◽

10.1007/s00366-010-0176-8 ◽

2010 ◽

Vol 27 (1) ◽

pp. 3-15 ◽

Author(s):

U. Hetmaniuk ◽

P. Knupp

Keyword(s):

Finite Elements ◽

Optimization Algorithm ◽

Interpolation Error ◽

Mesh Optimization ◽

Triangular Finite Elements

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An electromagnetic-thermal coupling example solved on a high frequency inductive system with the Matlab finite elements solver

Revue Générale de Thermique ◽

10.1016/s0035-3159(99)80047-6 ◽

1999 ◽

Vol 38 (6) ◽

pp. 481-491

Author(s):

R Ernst

Keyword(s):

Finite Elements ◽

High Frequency ◽

Thermal Coupling ◽

Inductive System

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Finite Elements for Engineers with ANSYS Applications

10.1017/9781108151689 ◽

2020 ◽

Author(s):

Mohamed Gadala

Keyword(s):

Finite Elements

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