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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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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Implicit–Explicit Backward Difference Formulae Discontinuous Galerkin Finite Element Methods for Convection–Diffusion Problems

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_99 ◽

2010 ◽

pp. 921-928

Author(s):

Miloslav Vlasák ◽

Vít Dolejší

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Diffusion Problems

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hp–Adaptive Two-Grid Discontinuous Galerkin Finite Element Methods for Quasi-Newtonian Fluid Flows

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_37 ◽

2012 ◽

pp. 341-349

Author(s):

S. Congreve ◽

P. Houston ◽

T. P. Wihler

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Newtonian Fluid ◽

Finite Element Methods ◽

Fluid Flows ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

10.1007/978-3-319-01818-8 ◽

2014 ◽

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Partial Differential ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Recent Developments ◽

Galerkin Finite Element Methods

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Discontinuous Galerkin finite element methods for radiative transfer in spherical symmetry

Astronomy and Astrophysics ◽

10.1051/0004-6361/201628578 ◽

2016 ◽

Vol 595 ◽

pp. A90 ◽

Author(s):

D. Kitzmann ◽

J. Bolte ◽

A. B. C. Patzer

Keyword(s):

Finite Element ◽

Radiative Transfer ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Spherical Symmetry ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

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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On the Poincaré-Friedrichs inequality for piecewise $H^\{1\}$ functions in anisotropic discontinuous Galerkin finite element methods

Mathematics of Computation ◽

10.1090/s0025-5718-2010-02296-3 ◽

2010 ◽

Vol 80 (273) ◽

pp. 119-140 ◽

Author(s):

Huo-Yuan Duan ◽

Roger C. E. Tan

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Friedrichs Inequality

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High-order/ $$hp$$ -adaptive discontinuous Galerkin finite element methods for acoustic problems

Computing ◽

10.1007/s00607-012-0253-5 ◽

2012 ◽

Vol 95 (S1) ◽

pp. 215-234 ◽

Author(s):

Stefano Giani

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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