Galerkin finite element methods for the Shallow Water equations over variable bottom

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.06.031 ◽

2020 ◽

Vol 373 ◽

pp. 112315 ◽

Author(s):

G. Kounadis ◽

V.A. Dougalis

Keyword(s):

Finite Element ◽

Shallow Water ◽

Finite Element Methods ◽

Shallow Water Equations ◽

Galerkin Finite Element ◽

Variable Bottom ◽

Galerkin Finite Element Methods

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Continuous, discontinuous and coupled discontinuous–continuous Galerkin finite element methods for the shallow water equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1156 ◽

2006 ◽

Vol 52 (1) ◽

pp. 63-88 ◽

Author(s):

Clint Dawson ◽

Joannes J. Westerink ◽

Jesse C. Feyen ◽

Dharhas Pothina

Keyword(s):

Finite Element ◽

Shallow Water ◽

Finite Element Methods ◽

Shallow Water Equations ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Continuous Galerkin

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Galerkin-finite element methods for the shallow water equations with characteristic boundary conditions

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drw017 ◽

2016 ◽

Vol 37 (1) ◽

pp. 266-295 ◽

Author(s):

D. C. Antonopoulos ◽

V. A. Dougalis

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Shallow Water ◽

Finite Element Methods ◽

Shallow Water Equations ◽

Galerkin Finite Element ◽

Characteristic Boundary ◽

Galerkin Finite Element Methods

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Coupled discontinuous and continuous Galerkin finite element methods for the depth-integrated shallow water equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2003.09.011 ◽

2004 ◽

Vol 193 (3-5) ◽

pp. 289-318 ◽

Author(s):

Clint Dawson ◽

Jennifer Proft

Keyword(s):

Finite Element ◽

Shallow Water ◽

Finite Element Methods ◽

Shallow Water Equations ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Continuous Galerkin

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Local time-stepping in Runge–Kutta discontinuous Galerkin finite element methods applied to the shallow-water equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2012.01.002 ◽

2012 ◽

Vol 217-220 ◽

pp. 139-152 ◽

Author(s):

Corey J. Trahan ◽

Clint Dawson

Keyword(s):

Finite Element ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Shallow Water Equations ◽

Galerkin Finite Element ◽

Time Stepping ◽

Discontinuous Galerkin Finite Element ◽

Local Time Stepping ◽

Galerkin Finite Element Methods

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Galerkin finite element methods for the numerical solution of two classical-Boussinesq type systems over variable bottom topography

Wave Motion ◽

10.1016/j.wavemoti.2021.102715 ◽

2021 ◽

Vol 102 ◽

pp. 102715

Author(s):

G. Kounadis ◽

D.C. Antonopoulos ◽

V.A. Dougalis

Keyword(s):

Finite Element ◽

Numerical Solution ◽

Finite Element Methods ◽

Bottom Topography ◽

Type Systems ◽

Galerkin Finite Element ◽

Variable Bottom ◽

Galerkin Finite Element Methods

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Recent Advances in Least-Squares and Discontinuous Petrov–Galerkin Finite Element Methods

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.05.029 ◽

2021 ◽

Vol 95 ◽

pp. 1-3

Author(s):

Fleurianne Bertrand ◽

Leszek Demkowicz ◽

Jay Gopalakrishnan

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Recent Advances ◽

Galerkin Finite Element Methods

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Flooding and Drying in Discontinuous Galerkin Finite-Element Discretizations of Shallow-Water Equations. Part 1: One Dimension

Journal of Scientific Computing ◽

10.1007/s10915-004-4136-6 ◽

2005 ◽

Vol 22-23 (1-3) ◽

pp. 47-82 ◽

Author(s):

Onno Bokhove

Keyword(s):

Finite Element ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

One Dimension ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Finite Element Discretizations ◽

Flooding And Drying ◽

Element Discretizations

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Application of hp-discontinuous Galerkin finite element methods to the rotating disk electrode problems in electrochemistry

Journal of Applied Mathematics and Computing ◽

10.1007/bf02896457 ◽

2006 ◽

Vol 22 (1-2) ◽

pp. 1-20 ◽

Author(s):

Daniel Okuonghae

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Rotating Disk ◽

Rotating Disk Electrode ◽

Disk Electrode ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20215 ◽

2007 ◽

Vol 23 (5) ◽

pp. 1149-1166 ◽

Author(s):

Béatrice Rivière ◽

Simon Shaw ◽

J.R. Whiteman

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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Convergence of linearized backward Euler–Galerkin finite element methods for the time-dependent Ginzburg–Landau equations with temporal gauge

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.847929 ◽

2013 ◽

Vol 91 (7) ◽

pp. 1507-1515

Author(s):

Chaoxia Yang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Time Dependent ◽

Ginzburg Landau ◽

Galerkin Finite Element ◽

Temporal Gauge ◽

Backward Euler ◽

Galerkin Finite Element Methods ◽

Ginzburg Landau Equations

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