The effect of numerical integration in finite element methods for general nonlinear hyperbolic equations

Nonlinear Analysis and Differential Equations ◽

10.12988/nade.2017.6866 ◽

2017 ◽

Vol 5 ◽

pp. 1-15

Author(s):

Nguimbi Germain ◽

Pongui Ngoma Diogene Vianney ◽

Likibi Pellat Rhoss Beauneur

Keyword(s):

Finite Element ◽

Numerical Integration ◽

Finite Element Methods ◽

Hyperbolic Equations ◽

Nonlinear Hyperbolic Equations ◽

Effect Of Numerical Integration

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The full-discrete mixed finite element methods for nonlinear hyperbolic equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/s1007-5704(98)90005-3 ◽

1998 ◽

Vol 3 (3) ◽

pp. 152-155 ◽

Cited By ~ 10

Author(s):

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Hyperbolic Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Nonlinear Hyperbolic Equations

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The superconvergence of mixed finite element methods for nonlinear hyperbolic equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/s1007-5704(98)90006-5 ◽

1998 ◽

Vol 3 (3) ◽

pp. 155-158 ◽

Cited By ~ 5

Author(s):

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Hyperbolic Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Nonlinear Hyperbolic Equations

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The effect of numerical integration in finite element methods for nonlinear parabolic equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690060306 ◽

1990 ◽

Vol 6 (3) ◽

pp. 263-274 ◽

Cited By ~ 3

Author(s):

So-Hsiang Chou ◽

Qian Li

Keyword(s):

Finite Element ◽

Numerical Integration ◽

Finite Element Methods ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Nonlinear Parabolic ◽

Effect Of Numerical Integration

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The effect of numerical integration in finite element methods for nonlinear parabolic equations

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-001-0029-8 ◽

2001 ◽

Vol 16 (2) ◽

pp. 219-230 ◽

Cited By ~ 1

Author(s):

N'guimbi Germain

Keyword(s):

Finite Element ◽

Numerical Integration ◽

Finite Element Methods ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Nonlinear Parabolic ◽

Effect Of Numerical Integration

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THE EFFECT OF NUMERICAL INTEGRATION IN FINITE ELEMENT METHODS FOR SOLVING QUASILINEAR PARABOLIC EQUATIONS

Demonstratio Mathematica ◽

10.1515/dema-1987-3-422 ◽

1987 ◽

Vol 20 (3-4) ◽

Author(s):

Tadeusz J. Janik

Keyword(s):

Finite Element ◽

Numerical Integration ◽

Finite Element Methods ◽

Parabolic Equations ◽

Quasilinear Parabolic Equations ◽

Effect Of Numerical Integration ◽

Quasilinear Parabolic

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Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part II: Hyperbolic Equations

SIAM Journal on Scientific Computing ◽

10.1137/130931667 ◽

2014 ◽

Vol 36 (4) ◽

pp. A1911-A1936 ◽

Cited By ~ 7

Author(s):

Erik Burman

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Hyperbolic Equations ◽

Stabilized Finite Element Methods ◽

Stabilized Finite Element ◽

Ill Posed

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Space-time finite element methods for second-order hyperbolic equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(90)90082-w ◽

1990 ◽

Vol 84 (3) ◽

pp. 327-348 ◽

Cited By ~ 195

Author(s):

Gregory M. Hulbert ◽

Thomas J.R. Hughes

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Hyperbolic Equations ◽

Space Time ◽

Second Order

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Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-008-1901-6 ◽

2008 ◽

Vol 23 (4) ◽

pp. 455-462 ◽

Cited By ~ 9

Author(s):

Dong-yang Shi ◽

Zhi-yan Li

Keyword(s):

Finite Element Method ◽

Boundary Condition ◽

Finite Element ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Hyperbolic Equations ◽

The Finite Element Method ◽

Nonlinear Hyperbolic Equations ◽

Element Method

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THE COMBINED EFFECT OF CURVED BOUNDARIES AND NUMERICAL INTEGRATION IN ISOPARAMETRIC FINITE ELEMENT METHODS

The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations ◽

10.1016/b978-0-12-068650-6.50020-4 ◽

1972 ◽

pp. 409-474 ◽

Cited By ~ 74

Author(s):

P.G. Ciarlet ◽

P.-A. Raviart

Keyword(s):

Finite Element ◽

Numerical Integration ◽

Finite Element Methods ◽

Combined Effect ◽

Curved Boundaries ◽

Isoparametric Finite Element

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Literature Review : ON THE STABILITY OF EXPLICIT METHODS FOR THE NUMERICAL INTEGRATION OF THE EQUATIONS OF MOTION IN FINITE ELEMENT METHODS Fu, C. C. Intl. Numer. Methods Engr. 4, 95-107 (Jan. /Feb. 1972) Refer to Abstract No. 72-550

The Shock and Vibration Digest ◽

10.1177/058310247300500234 ◽

1973 ◽

Vol 5 (2) ◽

pp. 69-70

Author(s):

W.H. Armstrong

Keyword(s):

Finite Element ◽

Literature Review ◽

Numerical Integration ◽

Finite Element Methods ◽

Equations Of Motion ◽

Explicit Methods ◽

The Stability

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