Optimal Numerical Integration Schemes for a Family of Polygonal Finite Elements with Schwarz–Christoffel Conformal Mapping

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2018.1502218 ◽

2018 ◽

Vol 19 (4) ◽

pp. 283-304 ◽

Author(s):

S. Chakraborty ◽

S. Natarajan ◽

S. Singh ◽

D. Roy Mahapatra ◽

S.P.A. Bordas

Keyword(s):

Finite Elements ◽

Conformal Mapping ◽

Numerical Integration ◽

Polygonal Finite Elements ◽

Integration Schemes

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Enhanced nodal gradient finite elements with new numerical integration schemes for 2D and 3D geometrically nonlinear analysis

Applied Mathematical Modelling ◽

10.1016/j.apm.2020.11.040 ◽

2021 ◽

Vol 93 ◽

pp. 326-359

Author(s):

Du Dinh Nguyen ◽

Minh Ngoc Nguyen ◽

Nguyen Dinh Duc ◽

Jaroon Rungamornrat ◽

Tinh Quoc Bui

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Numerical Integration ◽

Geometrically Nonlinear ◽

Geometrically Nonlinear Analysis ◽

Integration Schemes ◽

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Improved numerical integration of thick shell finite elements

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620030411 ◽

1971 ◽

Vol 3 (4) ◽

pp. 575-586 ◽

Author(s):

Stuart F. Pawsey ◽

Ray W. Clough

Keyword(s):

Finite Elements ◽

Numerical Integration ◽

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Numerical integration schemes for the BEM solution of hypersingular integral equations

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19990830)45:12<1807::aid-nme655>3.0.co;2-k ◽

1999 ◽

Vol 45 (12) ◽

pp. 1807-1830 ◽

Author(s):

A. Aimi ◽

M. Diligenti ◽

G. Monegato

Keyword(s):

Numerical Integration ◽

Integral Equations ◽

Hypersingular Integral ◽

Hypersingular Integral Equations ◽

Integration Schemes

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Volume Conservation in Phase Space: A Fresh Look at Numerical Integration Schemes

Monthly Weather Review ◽

10.1175/1520-0493(1996)124<1955:vcipsa>2.0.co;2 ◽

1996 ◽

Vol 124 (9) ◽

pp. 1955-1964 ◽

Author(s):

Joseph Egger

Keyword(s):

Phase Space ◽

Numerical Integration ◽

Volume Conservation ◽

Integration Schemes

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Polygonal finite elements for three-dimensional Voronoi-cell-based discretisations

European Journal of Computational Mechanics ◽

10.1080/17797179.2012.702432 ◽

2012 ◽

Vol 21 (1-2) ◽

pp. 92-102 ◽

Author(s):

Kaliappan Jayabal ◽

Andreas Menzel

Keyword(s):

Finite Elements ◽

Three Dimensional ◽

Voronoi Cell ◽

Polygonal Finite Elements

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Numerical Integration Schemes

The Heston Model and Its Extensions in VBA ◽

10.1002/9781119020523.ch5 ◽

2015 ◽

pp. 83-114

Keyword(s):

Numerical Integration ◽

Integration Schemes

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Implementation of numerical integration schemes for the simulation of magnetic SMA constitutive response

Smart Materials and Structures ◽

10.1088/0964-1726/21/9/094007 ◽

2012 ◽

Vol 21 (9) ◽

pp. 094007 ◽

Author(s):

B Kiefer ◽

T Bartel ◽

A Menzel

Keyword(s):

Numerical Integration ◽

Integration Schemes ◽

Constitutive Response

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Numerical Integration Schemes

The Heston Model and Its Extensions in Matlab and C# ◽

10.1002/9781118656471.ch5 ◽

2013 ◽

pp. 115-146

Keyword(s):

Numerical Integration ◽

Integration Schemes

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A comparison of numerical integration schemes for particle filter-based estimation of gas flow dynamics

Physica Scripta ◽

10.1088/1402-4896/aae517 ◽

2018 ◽

Vol 93 (12) ◽

pp. 125001 ◽

Author(s):

Ferdinand Evert Uilhoorn

Keyword(s):

Particle Filter ◽

Numerical Integration ◽

Gas Flow ◽

Flow Dynamics ◽

Integration Schemes

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A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.584 ◽

2002 ◽

Vol 19 (3) ◽

pp. 233-245 ◽

Author(s):

Rie Sugimoto ◽

Peter Bettess ◽

Jon Trevelyan

Keyword(s):

Finite Elements ◽

Helmholtz Equation ◽

Numerical Integration ◽

Integration Scheme ◽

Numerical Integration Scheme

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