Error estimates for the standard Galerkin-finite element method for the shallow water equations

D. C. Antonopoulos; V. A. Dougalis

doi:10.1090/mcom3040

Error estimates for the standard Galerkin-finite element method for the shallow water equations

Mathematics of Computation ◽

10.1090/mcom3040 ◽

2015 ◽

Vol 85 (299) ◽

pp. 1143-1182 ◽

Cited By ~ 4

Author(s):

D. C. Antonopoulos ◽

V. A. Dougalis

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Shallow Water ◽

Error Estimates ◽

Shallow Water Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Element Method

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The discontinuous Galerkin finite element method for the 2D shallow water equations

Mathematics and Computers in Simulation ◽

10.1016/s0378-4754(01)00277-4 ◽

2001 ◽

Vol 56 (3) ◽

pp. 223-233 ◽

Cited By ~ 19

Author(s):

Hong Li ◽

RuXun Liu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

2D Shallow Water Equations ◽

Element Method

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ADVANCED PERIODIC GALERKIN FINITE ELEMENT METHOD FOR SHALLOW WATER EQUATION

Doboku Gakkai Ronbunshu ◽

10.2208/jscej.1990.422_155 ◽

1990 ◽

pp. 155-164

Author(s):

Noriyoshi KANEKO ◽

Mutsuto KAWAHARA

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Shallow Water ◽

Shallow Water Equation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Element Method

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Dam-Break and Transcritical Flow Simulation of 1D Shallow Water Equations with Discontinuous Galerkin Finite Element Method

Journal of the Korean Society of Civil Engineers ◽

10.12652/ksce.2014.34.5.1383 ◽

2014 ◽

Vol 34 (5) ◽

pp. 1383-1393

Author(s):

Kwang Hee Yun ◽

Haegyun Lee ◽

Namjoo Lee

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Flow Simulation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Transcritical Flow

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Application of Runge-Kutta Discontinuous Galerkin finite element method to shallow water flow

KSCE Journal of Civil Engineering ◽

10.1007/s12205-014-0068-3 ◽

2014 ◽

Vol 18 (5) ◽

pp. 1554-1562 ◽

Cited By ~ 3

Author(s):

Haegyun Lee

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Water Flow ◽

Galerkin Finite Element Method ◽

Shallow Water Flow ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Element Method

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Interior energy error estimates for the weak Galerkin finite element method

Numerische Mathematik ◽

10.1007/s00211-017-0940-4 ◽

2017 ◽

Vol 139 (2) ◽

pp. 447-478 ◽

Cited By ~ 2

Author(s):

Hengguang Li ◽

Lin Mu ◽

Xiu Ye

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Energy Error ◽

Element Method

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Local Discontinuous Galerkin Finite Element Method and Error Estimates for One Class of Sobolev Equation

Journal of Scientific Computing ◽

10.1007/s10915-009-9308-y ◽

2009 ◽

Vol 41 (3) ◽

pp. 436-460 ◽

Cited By ~ 27

Author(s):

Fuzheng Gao ◽

Jianxian Qiu ◽

Qiang Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Sobolev Equation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Local Discontinuous Galerkin ◽

Discontinuous Galerkin Finite Element ◽

Element Method

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Application of Petrov-Galerkin finite element method to shallow water waves model: Modified Korteweg-de Vries equation

Scientia Iranica ◽

10.24200/sci.2017.4096 ◽

2017 ◽

Vol 24 (3) ◽

pp. 1148-1159 ◽

Cited By ~ 2

Author(s):

T. Ak ◽

S.B.G. Karakoc ◽

A. Biswas

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Shallow Water ◽

Water Waves ◽

Vries Equation ◽

Galerkin Finite Element Method ◽

Shallow Water Waves ◽

Galerkin Finite Element ◽

De Vries ◽

Element Method

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A Modified Method of Characteristic Technique Combined with Galerkin Finite Element Method to Solve Shallow Water Mass Transport Problems

Coastal Engineering 1992 ◽

10.1061/9780872629332.234 ◽

1993 ◽

Author(s):

A. Garzon ◽

L. D’Alpaos

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mass Transport ◽

Shallow Water ◽

Water Mass ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Modified Method ◽

Transport Problems ◽

Element Method

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A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113525 ◽

2021 ◽

Vol 394 ◽

pp. 113525

Author(s):

Xiu Ye ◽

Shangyou Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Element Method

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A weak Galerkin finite element method for two-dimensional coupled burgers’ equation by using polynomials of order (k, k – 1, k – 1)

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2019.1706844 ◽

2020 ◽

Vol 23 (4) ◽

pp. 777-790

Author(s):

Ahmed Jabbar Hussein ◽

Hashim A. Kashkool

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Burgers Equation ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Coupled Burgers Equation ◽

Element Method

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