Construction of basis functions in the finite element method

BIT Numerical Mathematics ◽

10.1007/bf01932676 ◽

1972 ◽

Vol 12 (1) ◽

pp. 81-89 ◽

Author(s):

A. R. Mitchell ◽

G. M. Phillips

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Basis Functions ◽

The Finite Element Method ◽

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The finite element method with weighted basis functions for singularly perturbed convection–diffusion problems

Journal of Computational Physics ◽

10.1016/j.jcp.2003.10.028 ◽

2004 ◽

Vol 195 (2) ◽

pp. 773-789 ◽

Author(s):

Xiang-Gui Li ◽

C.K. Chan ◽

Song Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Basis Functions ◽

Singularly Perturbed ◽

The Finite Element Method ◽

Convection Diffusion ◽

Diffusion Problems ◽

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The Construction of Basis Functions for Curved Elements in the Finite Element Method

IMA Journal of Applied Mathematics ◽

10.1093/imamat/10.3.382 ◽

1972 ◽

Vol 10 (3) ◽

pp. 382-393 ◽

Author(s):

R. MCLEOD ◽

A. R. MITCHELL

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Basis Functions ◽

The Finite Element Method ◽

Curved Elements ◽

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Two-dimensional higher-order wavelet-like basis functions in the finite element method

Proceedings of the Thirty-Fourth Southeastern Symposium on System Theory (Cat. No.02EX540) ◽

10.1109/ssst.2002.1027023 ◽

2003 ◽

Author(s):

W.E. Hutchcraft ◽

R.K. Gordon

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Higher Order ◽

Basis Functions ◽

Two Dimensional ◽

The Finite Element Method ◽

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Basis Functions With Divergence Constraints for the Finite Element Method

IEEE Transactions on Magnetics ◽

10.1109/tmag.2013.2288608 ◽

2014 ◽

Vol 50 (4) ◽

pp. 1-13 ◽

Author(s):

C. M. Pinciuc ◽

A. Konrad ◽

J. D. Lavers

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Basis Functions ◽

The Finite Element Method ◽

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Hermitian splines as basis functions of the finite-element method for plotting stress trajectories

Journal of Mathematical Sciences ◽

10.1007/s10958-010-0018-7 ◽

2010 ◽

Vol 168 (5) ◽

pp. 673-687 ◽

Author(s):

M. V. Marchuk ◽

M. M. Khomyak

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Basis Functions ◽

The Finite Element Method ◽

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Basis Functions for Divergence Constraints in the Finite Element Method

IEEE Transactions on Magnetics ◽

10.1109/tmag.2010.2044489 ◽

2010 ◽

Vol 46 (8) ◽

pp. 3421-3424 ◽

Author(s):

Chris M. Pinciuc ◽

Adalbert Konrad ◽

John Douglas Lavers

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Basis Functions ◽

The Finite Element Method ◽

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Error analysis of higher order wavelet-like basis functions in the finite element method

Proceedings of the Thirty-Fourth Southeastern Symposium on System Theory (Cat. No.02EX540) ◽

10.1109/ssst.2002.1027021 ◽

2003 ◽

Author(s):

W.E. Hutchcraft ◽

R.K. Gordon

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Higher Order ◽

Basis Functions ◽

The Finite Element Method ◽

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Basis Functions in the Finite Element Method

International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique - Numerical Solution of Partial Differential Equations: Theory, Tools and Case Studies ◽

10.1007/978-3-0348-6262-2_4 ◽

1983 ◽

pp. 134-166

Author(s):

M. L. Baart

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Basis Functions ◽

The Finite Element Method ◽

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A note on the finite element method with singular basis functions

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19990610)45:4<491::aid-nme597>3.0.co;2-y ◽

1999 ◽

Vol 45 (4) ◽

pp. 491-495

Author(s):

Hideaki Kaneko ◽

Peter A. Padilla

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Basis Functions ◽

The Finite Element Method ◽

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Higher order wavelet-like basis functions in the numerical solution of partial differential equations using the finite element method

Proceedings of the 33rd Southeastern Symposium on System Theory (Cat. No.01EX460) ◽

10.1109/ssst.2001.918552 ◽

2002 ◽

Author(s):

R.K. Gordon ◽

W.E. Hutchcraft

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Higher Order ◽

Basis Functions ◽

The Finite Element Method ◽

Partial Differential ◽

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