Discretization Error Estimation for Discontinuous Galerkin Methods using Error Transport Equations

AIAA Scitech 2019 Forum ◽

10.2514/6.2019-2173 ◽

2019 ◽

Author(s):

Hongyu Wang ◽

William C. Tyson ◽

Christopher J. Roy

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Methods ◽

Transport Equations ◽

Discretization Error ◽

Galerkin Methods

Download Full-text

Algebraic and Discretization Error Estimation by Equilibrated Fluxes for Discontinuous Galerkin Methods on Nonmatching Grids

Journal of Scientific Computing ◽

10.1007/s10915-014-9921-2 ◽

2014 ◽

Vol 64 (1) ◽

pp. 1-34 ◽

Cited By ~ 5

Author(s):

Vít Dolejší ◽

Ivana Šebestová ◽

Martin Vohralík

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Methods ◽

Discretization Error ◽

Galerkin Methods ◽

Nonmatching Grids

Download Full-text

High-order Discontinuous Galerkin Methods for a class of transport equations with structured populations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.05.024 ◽

2016 ◽

Vol 72 (3) ◽

pp. 768-784 ◽

Cited By ~ 3

Author(s):

Joe Coyle ◽

Nilima Nigam

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Transport Equations ◽

High Order ◽

Structured Populations ◽

Galerkin Methods

Download Full-text

Adjoint-based error estimation and mesh adaptation for hybridized discontinuous Galerkin methods

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3959 ◽

2014 ◽

Vol 76 (11) ◽

pp. 811-834 ◽

Cited By ~ 18

Author(s):

M. Woopen ◽

G. May ◽

J. Schütz

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Methods ◽

Mesh Adaptation ◽

Galerkin Methods ◽

Hybridized Discontinuous Galerkin Methods

Download Full-text

ERROR ESTIMATION AND hp-ADAPTIVE MESH REFINEMENT FOR DISCONTINUOUS GALERKIN METHODS

Advances in Computational Fluid Dynamics - Adaptive High-Order Methods in Computational Fluid Dynamics ◽

10.1142/9789814313193_0003 ◽

2011 ◽

pp. 67-94 ◽

Cited By ~ 10

Author(s):

Tobias Leicht ◽

Ralf Hartmann

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Adaptive Mesh Refinement ◽

Discontinuous Galerkin Methods ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Galerkin Methods

Download Full-text

Unstructured h- and hp- adaptive strategies for discontinuous Galerkin methods based on a posteriori error estimation for compressible flows

Computers & Fluids ◽

10.1016/j.compfluid.2021.105245 ◽

2021 ◽

pp. 105245

Author(s):

Francesca Basile ◽

Jean-Baptiste Chapelier ◽

Marta de la Llave Plata ◽

Romain Laraufie ◽

Pascal Frey

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Compressible Flows ◽

Discontinuous Galerkin Methods ◽

Adaptive Strategies ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

Download Full-text

Adaptivity and Error Estimation for Discontinuous Galerkin Methods

Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-3-319-01818-8_3 ◽

2013 ◽

pp. 63-96 ◽

Cited By ~ 4

Author(s):

Slimane Adjerid ◽

Mahboub Baccouch

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

Download Full-text

Energy norm a posteriori error estimation for discontinuous Galerkin methods

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00593-5 ◽

2003 ◽

Vol 192 (5-6) ◽

pp. 723-733 ◽

Cited By ~ 64

Author(s):

Roland Becker ◽

Peter Hansbo ◽

Mats G. Larson

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Methods ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Energy Norm ◽

Galerkin Methods ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

Download Full-text

Flux reconstruction and a posteriori error estimation for discontinuous Galerkin methods on general nonmatching grids

Comptes Rendus Mathematique ◽

10.1016/j.crma.2009.01.017 ◽

2009 ◽

Vol 347 (7-8) ◽

pp. 441-444 ◽

Cited By ~ 26

Author(s):

Alexandre Ern ◽

Martin Vohralík

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Methods ◽

Posteriori Error ◽

Flux Reconstruction ◽

Galerkin Methods ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Nonmatching Grids

Download Full-text

Implicit Discontinuous Galerkin Methods for Transport Equations in Porous Media

10.1017/9781009019781.007 ◽

2021 ◽

pp. 70-96

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Transport Equations ◽

Galerkin Methods

Download Full-text

Device Modeling Using Discontinuous Galerkin Methods for Fluid Plasmas

40th AIAA Plasmadynamics and Lasers Conference ◽

10.2514/6.2009-3834 ◽

2009 ◽

Author(s):

John Loverich ◽

Ammar Hakim

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Device Modeling ◽

Galerkin Methods

Download Full-text