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

Onno Bokhove

doi:10.1007/s10915-004-4136-6

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 ◽

Cited By ~ 50

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

Download Full-text

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

Download Full-text

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

Download Full-text

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 ◽

Cited By ~ 24

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

Download Full-text

A discontinuous Galerkin finite element shallow water model in simulating tidal flows

Oceans '04 MTS/IEEE Techno-Ocean '04 (IEEE Cat. No.04CH37600) ◽

10.1109/oceans.2004.1406348 ◽

2005 ◽

Author(s):

Zhixing Yu ◽

Y. Kyozuka

Keyword(s):

Finite Element ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Water Model ◽

Shallow Water Model ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Tidal Flows

Download Full-text

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

Download Full-text

Space–time discontinuous Galerkin finite element method for shallow water flows

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.01.047 ◽

2007 ◽

Vol 204 (2) ◽

pp. 452-462 ◽

Cited By ~ 19

Author(s):

V.R. Ambati ◽

O. Bokhove

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Space Time ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Water Flows ◽

Shallow Water Flows ◽

Discontinuous Galerkin Finite Element

Download Full-text

Discontinuous Galerkin Finite-Element Method for Transcritical Two-Dimensional Shallow Water Flows

Journal of Hydraulic Engineering ◽

10.1061/(asce)0733-9429(2004)130:5(412) ◽

2004 ◽

Vol 130 (5) ◽

pp. 412-421 ◽

Cited By ~ 63

Author(s):

D. Schwanenberg ◽

M. Harms

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Water Flows ◽

Shallow Water Flows ◽

Discontinuous Galerkin Finite Element

Download Full-text

Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.10.024 ◽

2016 ◽

Vol 299 ◽

pp. 68-91 ◽

Cited By ~ 3

Author(s):

Xiaobing Feng ◽

Thomas Lewis ◽

Michael Neilan

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Differential Calculus ◽

Numerical Solutions ◽

Nonlinear Partial Differential Equations ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Linear And Nonlinear

Download Full-text

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 ◽

Cited By ~ 2

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

Download Full-text

An efficient discontinuous Galerkin finite element method with nested domain decomposition for simulations of microresistivity imaging

Journal of Applied Geophysics ◽

10.1016/j.jappgeo.2015.01.006 ◽

2015 ◽

Vol 114 ◽

pp. 116-122 ◽

Cited By ~ 14

Author(s):

Jiefu Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Domain Decomposition ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Element Method

Download Full-text