Convergence of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions

Numerische Mathematik ◽

10.1007/s002110050156 ◽

1995 ◽

Vol 71 (4) ◽

pp. 527-560 ◽

Author(s):

Dietmar Kröner ◽

Sebastian Noelle ◽

Mirko Rokyta

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Unstructured Grids ◽

Higher Order ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Scalar Conservation

Download Full-text

Convergence of Upwind Finite Volume Schemes for Scalar Conservation Laws in Two Dimensions

SIAM Journal on Numerical Analysis ◽

10.1137/0731017 ◽

1994 ◽

Vol 31 (2) ◽

pp. 324-343 ◽

Author(s):

Dietmar Kröner ◽

Mirko Rokyta

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Two Dimensions ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Scalar Conservation

Download Full-text

Convergence and error estimates in finite volume schemes for general multidimensional scalar conservation laws. I. Explicite monotone schemes

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1994280302671 ◽

1994 ◽

Vol 28 (3) ◽

pp. 267-295 ◽

Author(s):

J.-P. Vila

Keyword(s):

Conservation Laws ◽

Error Estimates ◽

Finite Volume ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Monotone Schemes ◽

Scalar Conservation

Download Full-text

Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws

Journal of Computational Physics ◽

10.1016/s0021-9991(03)00086-x ◽

2003 ◽

Vol 187 (2) ◽

pp. 391-427 ◽

Author(s):

Ramaz Botchorishvili ◽

Olivier Pironneau

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Source Terms ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Scalar Conservation

Download Full-text

An Integrated Quadratic Reconstruction for Finite Volume Schemes to Scalar Conservation Laws in Multiple Dimensions

CSIAM Transactions on Applied Mathematics ◽

10.4208/csiam-am.2020-0017 ◽

2020 ◽

Vol 1 (3) ◽

pp. 437-463

Author(s):

Li Chen

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Multiple Dimensions ◽

Scalar Conservation

Download Full-text

Convergence of monotone finite volume schemes for hyperbolic scalar conservation laws with multiplicative noise

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-015-0052-z ◽

2015 ◽

Vol 4 (1) ◽

pp. 150-223 ◽

Author(s):

C. Bauzet ◽

J. Charrier ◽

T. Gallouët

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Multiplicative Noise ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Scalar Conservation

Download Full-text

Finite volume schemes for nonhomogeneous scalar conservation laws: error estimate

Numerische Mathematik ◽

10.1007/pl00005452 ◽

2001 ◽

Vol 88 (4) ◽

pp. 607-639 ◽

Author(s):

Claire Chainais-Hillairet ◽

Sylvie Champier

Keyword(s):

Error Estimate ◽

Conservation Laws ◽

Finite Volume ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Scalar Conservation

Download Full-text

Convergence of flux-splitting finite volume schemes for hyperbolic scalar conservation laws with a multiplicative stochastic perturbation

Mathematics of Computation ◽

10.1090/mcom/3084 ◽

2016 ◽

Vol 85 (302) ◽

pp. 2777-2813 ◽

Author(s):

C. Bauzet ◽

J. Charrier ◽

T. Gallouët

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Stochastic Perturbation ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Flux Splitting ◽

Scalar Conservation

Download Full-text

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

Download Full-text

Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics

Computers & Fluids ◽

10.1016/j.compfluid.2010.07.018 ◽

2011 ◽

Vol 46 (1) ◽

pp. 498-504 ◽

Author(s):

François Vilar ◽

Pierre-Henri Maire ◽

Rémi Abgrall

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Unstructured Grids ◽

Two Dimensional ◽

Scalar Conservation Laws ◽

One Dimensional ◽

Lagrangian Hydrodynamics ◽

Scalar Conservation

Download Full-text

Convergence of the Finite Volume method for scalar conservation laws with multiplicative noise: an approach by kinetic formulation

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-019-00146-6 ◽

2019 ◽

Vol 8 (2) ◽

pp. 265-310 ◽

Author(s):

Sylvain Dotti ◽

Julien Vovelle

Keyword(s):

Conservation Laws ◽

Finite Volume Method ◽

Finite Volume ◽

Multiplicative Noise ◽

Scalar Conservation Laws ◽

Kinetic Formulation ◽

Scalar Conservation ◽

Download Full-text