Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2011.05.014 ◽

2011 ◽

Vol 230 (17) ◽

pp. 6843-6865 ◽

Author(s):

Zhiliang Xu ◽

Yingjie Liu ◽

Huijing Du ◽

Guang Lin ◽

Chi-Wang Shu

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Finite Volume Methods

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Hermite WENO limiting for multi-moment finite-volume methods using the ADER-DT time discretization for 1-D systems of conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2014.11.017 ◽

2015 ◽

Vol 282 ◽

pp. 381-396 ◽

Author(s):

Matthew R. Norman

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Time Discretization ◽

Finite Volume Methods ◽

Systems Of Conservation Laws

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Comparison of Finite Volume and Discontinuous Galerkin Methods of Higher Order for Systems of Conservation Laws in Multiple Space Dimensions

Geometric Analysis and Nonlinear Partial Differential Equations ◽

10.1007/978-3-642-55627-2_30 ◽

2003 ◽

pp. 573-589 ◽

Author(s):

A. Dedner ◽

D. Kröner ◽

C. Rohde ◽

T. Schnitzer ◽

M. Wesenberg

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

Systems Of Conservation Laws

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A brief survey on high order accurate maximum principle satisfying and positivity preserving discontinuous Galerkin and finite volume schemes for conservation laws

Fifth International Congress of Chinese Mathematicians - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/051.2/16 ◽

2012 ◽

pp. 747-758

Keyword(s):

Maximum Principle ◽

Conservation Laws ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Finite Volume Schemes ◽

Positivity Preserving

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High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids

Journal of Computational Physics ◽

10.1016/j.jcp.2015.01.006 ◽

2015 ◽

Vol 288 ◽

pp. 181-195 ◽

Author(s):

P. McCorquodale ◽

M.R. Dorr ◽

J.A.F. Hittinger ◽

P. Colella

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Methods ◽

Hyperbolic Conservation ◽

Multiblock Grids

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Essentially Non-Oscillatory Finite Difference, Finite Volume and Discontinuous Galerkin Finite Element Methods for Conservation Laws

Proceedings of the Third International Colloquium on Numerical Analysis ◽

10.1515/9783112314098-020 ◽

1995 ◽

pp. 171-180

Keyword(s):

Finite Element ◽

Finite Difference ◽

Conservation Laws ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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An error estimate for finite volume methods for multidimensional conservation laws

Mathematics of Computation ◽

10.1090/s0025-5718-1994-1240657-4 ◽

1994 ◽

Vol 63 (207) ◽

pp. 77-77 ◽

Author(s):

Bernardo Cockburn ◽

Fr{éd{éric Coquel ◽

Philippe LeFloch

Keyword(s):

Error Estimate ◽

Conservation Laws ◽

Finite Volume ◽

Finite Volume Methods

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Numerical comparison of hybridized discontinuous Galerkin and finite volume methods for incompressible flow

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3938 ◽

2014 ◽

Vol 76 (5) ◽

pp. 267-281 ◽

Author(s):

T. Ahnert ◽

G. Bärwolff

Keyword(s):

Discontinuous Galerkin ◽

Finite Volume ◽

Incompressible Flow ◽

Finite Volume Methods ◽

Numerical Comparison

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An optimal error estimate for upwind Finite Volume methods for nonlinear hyperbolic conservation laws

Applied Numerical Mathematics ◽

10.1016/j.apnum.2011.07.005 ◽

2011 ◽

Vol 61 (11) ◽

pp. 1114-1131 ◽

Author(s):

Daniel Bouche ◽

Jean-Michel Ghidaglia ◽

Frédéric P. Pascal

Keyword(s):

Error Estimate ◽

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Methods ◽

Optimal Error Estimate ◽

Optimal Error ◽

Hyperbolic Conservation ◽

Nonlinear Hyperbolic Conservation Laws

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Nonlinear Conservation Laws and Finite Volume Methods

Computational Methods for Astrophysical Fluid Flow - Saas-Fee Advanced Courses ◽

10.1007/3-540-31632-9_1 ◽

2006 ◽

pp. 1-159 ◽

Author(s):

Randall J. LeVeque

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Finite Volume Methods ◽

Nonlinear Conservation Laws

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Finite volume methods on unstructured Voronoi meshes for hyperbolic conservation laws

Hyperbolic Problems: Theory, Numerics and Applications - Proceedings of Symposia in Applied Mathematics ◽

10.1090/psapm/067.2/2605246 ◽

2009 ◽

pp. 507-516

Author(s):

Ivan Christov ◽

Ilya D. Mishev ◽

Bojan Popov

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Methods ◽

Hyperbolic Conservation

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