Error Estimate for Time-Explicit Finite Volume Approximation of Strong Solutions to Systems of Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/15m1029886 ◽

2016 ◽

Vol 54 (2) ◽

pp. 1263-1287 ◽

Author(s):

Clément Cancès ◽

Hélène Mathis ◽

Nicolas Seguin

Keyword(s):

Error Estimate ◽

Conservation Laws ◽

Finite Volume ◽

Strong Solutions ◽

Systems Of Conservation Laws ◽

Volume Approximation ◽

Finite Volume Approximation

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Error estimate in a finite volume approximation of the partial asymptotic domain decomposition

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2735 ◽

2013 ◽

Vol 36 (14) ◽

pp. 1892-1917 ◽

Author(s):

Grigory Panasenko ◽

Marie-Claude Viallon

Keyword(s):

Error Estimate ◽

Domain Decomposition ◽

Finite Volume ◽

Volume Approximation ◽

Finite Volume Approximation

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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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Finite volume approximation of the three-dimensional flow equation in axisymmetric, heterogeneous porous media based on local analytical solution

Journal of Hydrology ◽

10.1016/j.jhydrol.2013.07.036 ◽

2013 ◽

Vol 501 ◽

pp. 45-55 ◽

Author(s):

Amgad Salama ◽

Wang Li ◽

Shuyu Sun

Keyword(s):

Porous Media ◽

Analytical Solution ◽

Finite Volume ◽

Three Dimensional ◽

Flow Equation ◽

Heterogeneous Porous Media ◽

Three Dimensional Flow ◽

Dimensional Flow ◽

Volume Approximation ◽

Finite Volume Approximation

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Upwind finite volume solution of sensitivity equations for hyperbolic systems of conservation laws with discontinuous solutions

Computers & Fluids ◽

10.1016/j.compfluid.2009.03.002 ◽

2009 ◽

Vol 38 (9) ◽

pp. 1697-1709 ◽

Author(s):

V. Guinot

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Sensitivity Equations ◽

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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Finite volume approximation of multidimensional aggregation population balance equation on triangular grid

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2019.12.009 ◽

2020 ◽

Vol 172 ◽

pp. 191-212 ◽

Author(s):

Mehakpreet Singh ◽

Randhir Singh ◽

Sukhjit Singh ◽

Gagandeep Singh ◽

Gavin Walker

Keyword(s):

Finite Volume ◽

Balance Equation ◽

Population Balance ◽

Population Balance Equation ◽

Triangular Grid ◽

Volume Approximation ◽

Finite Volume Approximation

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Quasi-Positive Anisotropic Darcy-Flux Finite-volume Approximation for General Grids and MPFA Decoupling Analysis

10.2118/142206-ms ◽

2011 ◽

Author(s):

Michael G. Edwards ◽

Hongwen Zheng

Keyword(s):

Finite Volume ◽

Decoupling Analysis ◽

Volume Approximation ◽

Finite Volume Approximation

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A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension

IMA Journal of Numerical Analysis ◽

10.1093/imanum/dri036 ◽

2006 ◽

Vol 26 (2) ◽

pp. 326-353 ◽

Author(s):

R. Eymard ◽

T. Gallouët ◽

R. Herbin

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Space Dimension ◽

Unstructured Meshes ◽

A Cell ◽

Volume Approximation ◽

Finite Volume Approximation

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On the direct construction of the steady traveling solution to high explosive sandwich, cylinder and aquarium tests via a streamline finite volume approximation

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.029 ◽

2019 ◽

Vol 395 ◽

pp. 653-670 ◽

Author(s):

Stephen A. Andrews ◽

Tariq Aslam

Keyword(s):

Finite Volume ◽

High Explosive ◽

Direct Construction ◽

Volume Approximation ◽

Finite Volume Approximation

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Finite volume approximation of stiff problems on two-dimensional curvilinear domain

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1075013 ◽

2015 ◽

Vol 93 (10) ◽

pp. 1787-1799 ◽

Author(s):

Sylvain Faure ◽

Mohamed Mahdi Tekitek ◽

Roger Temam

Keyword(s):

Finite Volume ◽

Stiff Problems ◽

Two Dimensional ◽

Volume Approximation ◽

Finite Volume Approximation

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