Finite element theory on curved domains with applications to discontinuous Galerkin finite element methods

Ellya L. Kawecki

doi:10.1002/num.22489

Finite element theory on curved domains with applications to discontinuous Galerkin finite element methods

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22489 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1492-1536 ◽

Cited By ~ 1

Author(s):

Ellya L. Kawecki

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Curved Domains ◽

Galerkin Finite Element Methods ◽

Element Theory

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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 ◽

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

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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 ◽

Cited By ~ 22

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 ◽

Cited By ~ 3

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 ◽

Cited By ~ 5

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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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 ◽

Cited By ~ 1

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 ◽

Cited By ~ 1

Author(s):

Stefano Giani

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

High Order ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations

Journal of Computational Physics ◽

10.1016/j.jcp.2007.10.007 ◽

2008 ◽

Vol 227 (3) ◽

pp. 1887-1922 ◽

Cited By ~ 82

Author(s):

S. Rhebergen ◽

O. Bokhove ◽

J.J.W. van der Vegt

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Partial Differential ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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A note on the design of hp-version interior penalty discontinuous Galerkin finite element methods for degenerate problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/dri038 ◽

2006 ◽

Vol 26 (2) ◽

pp. 381-390 ◽

Cited By ~ 10

Author(s):

Emmanuil H. Georgoulis ◽

Andris Lasis

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Interior Penalty ◽

Degenerate Problems ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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