Direct Arbitrary-Lagrangian–Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2015.03.015 ◽

2015 ◽

Vol 292 ◽

pp. 56-87 ◽

Author(s):

Walter Boscheri ◽

Raphaël Loubère ◽

Michael Dumbser

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Arbitrary Lagrangian Eulerian ◽

Finite Volume Schemes ◽

Hyperbolic Conservation

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Arbitrary-Lagrangian–Eulerian ADER–WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.07.019 ◽

2014 ◽

Vol 280 ◽

pp. 57-83 ◽

Author(s):

Michael Dumbser

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Arbitrary Lagrangian Eulerian ◽

Finite Volume Schemes ◽

Hyperbolic Conservation ◽

Time Stepping ◽

Local Time Stepping

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High order sub-cell finite volume schemes for solving hyperbolic conservation laws II: Extension to two-dimensional systems on unstructured grids

Journal of Computational Physics ◽

10.1016/j.jcp.2017.02.052 ◽

2017 ◽

Vol 338 ◽

pp. 165-198 ◽

Author(s):

Jianhua Pan ◽

Yu-xin Ren ◽

Yutao Sun

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Unstructured Grids ◽

Two Dimensional ◽

Finite Volume Schemes ◽

Hyperbolic Conservation

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Behavior of Finite Volume Schemes for Hyperbolic Conservation Laws on Adaptive Redistributed Spatial Grids

SIAM Journal on Scientific Computing ◽

10.1137/050632853 ◽

2006 ◽

Vol 28 (5) ◽

pp. 1927-1956 ◽

Author(s):

Ch. Arvanitis ◽

A. I. Delis

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Schemes ◽

Hyperbolic Conservation ◽

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Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes

Acta Mathematica Sinica English Series ◽

10.1007/s10114-009-8090-y ◽

2009 ◽

Vol 25 (7) ◽

pp. 1041-1066 ◽

Author(s):

Philippe G. LeFloch ◽

Baver Okutmustur ◽

Wladimir Neves

Keyword(s):

Error Estimate ◽

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Schemes ◽

Hyperbolic Conservation

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Centred Unsplit Finite Volume Schemes for Multidimensional Hyperbolic Conservation Laws

Godunov Methods ◽

10.1007/978-1-4615-0663-8_86 ◽

2001 ◽

pp. 899-906

Author(s):

E. F. Toro ◽

W. Hu

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Schemes ◽

Hyperbolic Conservation

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The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids II: Extension to high order finite volume schemes

Journal of Computational Physics ◽

10.1016/j.jcp.2012.01.029 ◽

2012 ◽

Vol 231 (11) ◽

pp. 4053-4077 ◽

Author(s):

Wanai Li ◽

Yu-Xin Ren

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Unstructured Grids ◽

Finite Volume Schemes ◽

Hyperbolic Conservation

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Global and local central non-upwind finite volume schemes for hyperbolic conservation laws in porous media

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2178 ◽

2009 ◽

pp. n/a-n/a ◽

Author(s):

Michael G. Edwards

Keyword(s):

Porous Media ◽

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Schemes ◽

Hyperbolic Conservation ◽

Global And Local

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High order sub-cell finite volume schemes for solving hyperbolic conservation laws I: basic formulation and one-dimensional analysis

Science China Physics Mechanics and Astronomy ◽

10.1007/s11433-017-9033-9 ◽

2017 ◽

Vol 60 (8) ◽

Author(s):

JianHua Pan ◽

YuXin Ren

Keyword(s):

Conservation Laws ◽

Dimensional Analysis ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Schemes ◽

One Dimensional ◽

Hyperbolic Conservation

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Non-Upwind Monotonicity Based Finite Volume Schemes for Hyperbolic Conservation Laws in Porous Media

10.3997/2214-4609-pdb.9.b026 ◽

2004 ◽

Author(s):

M.G. Edwards

Keyword(s):

Porous Media ◽

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Schemes ◽

Hyperbolic Conservation

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Boundary stabilization of hyperbolic conservation laws using conservative finite volume schemes

2016 IEEE 55th Conference on Decision and Control (CDC) ◽

10.1109/cdc.2016.7799126 ◽

2016 ◽

Author(s):

Michael Herty ◽

Hui Yu

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Boundary Stabilization ◽

Finite Volume Schemes ◽

Hyperbolic Conservation

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