Finite Volume Methods
暂无分享,去创建一个
[1] Michael Schäfer. Finite-Volume Methods , 2021, Computational Engineering - Introduction to Numerical Methods.
[2] Åke Björck,et al. Numerical Methods , 2021, Markov Renewal and Piecewise Deterministic Processes.
[3] K. Morton. Numerical Solution of Convection-Diffusion Problems , 2019 .
[4] S. Patankar. Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.
[5] A. Harten,et al. On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes , 2017 .
[6] Joel Smoller,et al. Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables , 2010 .
[7] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[8] Raphaèle Herbin,et al. Finite volume approximation of a class of variational inequalities , 2001 .
[9] Thomas J. R. Hughes,et al. The Continuous Galerkin Method Is Locally Conservative , 2000 .
[10] Jean-Marc Hérard,et al. A sequel to a rough Godunov scheme: application to real gases , 2000 .
[11] Thierry Gallouët,et al. Error Estimates on the Approximate Finite Volume Solution of Convection Diffusion Equations with General Boundary Conditions , 2000, SIAM J. Numer. Anal..
[12] Qian Li,et al. Error estimates in L2, H1 and Linfinity in covolume methods for elliptic and parabolic problems: A unified approach , 1999, Math. Comput..
[13] Yves Coudière,et al. CONVERGENCE RATE OF A FINITE VOLUME SCHEME FOR A TWO DIMENSIONAL CONVECTION-DIFFUSION PROBLEM , 1999 .
[14] R. Eymard,et al. Convergence of finite volume schemes for semilinear convection diffusion equations , 1999, Numerische Mathematik.
[15] I. Faille,et al. A rough finite volume scheme for modeling two-phase flow in a pipeline , 1999 .
[16] R. Eymard,et al. Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes , 1998 .
[17] Marie Hélène Vignal,et al. Numerical and theoretical study of a Dual Mesh Method using finite volume schemes for two phase flow problems in porous media , 1998, Numerische Mathematik.
[18] Mario Putti,et al. Finite Element Approximation of the Diffusion Operator on Tetrahedra , 1998, SIAM J. Sci. Comput..
[19] Claude Bardos,et al. Mathematical Topics in Fluid Mechanics, Volume 1, Incompressible Models , 1998 .
[20] Ilya D. Mishev,et al. FINITE VOLUME METHODS ON VORONOI MESHES , 1998 .
[21] Jean-Marc Hérard,et al. Un schma simple pour les quations de Saint-Venant , 1998 .
[22] Endre Süli,et al. Analysis of a cell-vertex finite volume method for convection-diffusion problems , 1997, Math. Comput..
[23] P. Roe. Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .
[24] B. V. Leer,et al. Towards the Ultimate Conservative Difference Scheme , 1997 .
[25] Raphaele Herbin,et al. Finite volume schemes for elliptic and elliptic-hyperbolic problems on triangular meshes , 1997 .
[26] M. Wheeler,et al. Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences , 1997 .
[27] M. Lukáčová-Medvid'ová,et al. On the Convergence of a Combined Finite Volume{Finite Element Method for Nonlinear Convection{Diffusion Problems , 1997 .
[28] Thomas Kerkhoven,et al. Piecewise Linear Petrov--Galerkin Error Estimates For The Box Method , 1996 .
[29] P. Raviart,et al. Numerical Approximation of Hyperbolic Systems of Conservation Laws , 1996, Applied Mathematical Sciences.
[30] Philippe G. LeFloch,et al. An entropy satisfying MUSCL scheme for systems of conservation laws , 1996 .
[31] Sebastian Noelle,et al. A note on entropy inequalities and error estimates for higher-order accurate finite volume schemes on irregular families of grids , 1996, Math. Comput..
[32] Bernardo Cockburn,et al. Error estimates for finite element methods for scalar conservation laws , 1996 .
[33] Bernardo Cockburn,et al. A priori error estimates for numerical methods for scalar conservation laws. Part I: The general approach , 1996, Math. Comput..
[34] M. Shashkov. Conservative Finite-Difference Methods on General Grids , 1996 .
[35] Panayot S. Vassilevski,et al. Finite volume methods for convection-diffusion problems , 1996 .
[36] M. Lukáčová-Medvid'ová,et al. Combined finite element-finite volume solution of compressible flow , 1995 .
[37] D. Kröner,et al. Convergence of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions , 1995 .
[38] Bernardo Cockburn,et al. Convergence of the finite volume method for multidimensional conservation laws , 1995 .
[39] R. Herbin. An error estimate for a finite volume scheme for a diffusion–convection problem on a triangular mesh , 1995 .
[40] Robert Eymard,et al. Mathematical and Numerical Properties of Control-Volumel Finite-Element Scheme for Reservoir Simulation , 1994 .
[41] E. Oñate,et al. Finite volumes and finite elements: Two ‘good friends’ , 1994 .
[42] Bernardo Cockburn,et al. An error estimate for finite volume methods for multidimensional conservation laws , 1994 .
[43] Raphaèle Herbin,et al. Comparison between finite volume and finite element methods for an elliptic system arising in electrochemical engineering , 1994 .
[44] D. Kröner,et al. Convergence of upwind finite volume schemes for scalar conservation laws in two dimensions , 1994 .
[45] Noel J. Walkington,et al. Co-volume methods for degenerate parabolic problems , 1993 .
[46] Thierry Gallouët,et al. Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh , 1993 .
[47] T. Gallouët,et al. A uniqueness result for measure-valued solutions of nonlinear hyperbolic equations , 1993, Differential and Integral Equations.
[48] R. Nicolaides. Analysis and convergence of the MAC scheme. I : The linear problem , 1992 .
[49] Panayot S. Vassilevski,et al. Finite Difference Schemes on Triangular Cell-Centered Grids with Local Refinement , 1992, SIAM J. Sci. Comput..
[50] I. Faille,et al. A control volume method to solve an elliptic equation on a two-dimensional irregular mesh , 1992 .
[51] E. Süli,et al. The accuracy of cell vertex finite volume methods on quadrilateral meshes , 1992 .
[52] A. M. Meirmanov,et al. The Stefan Problem , 1992 .
[53] Pierre-Alain Gremaud,et al. On a numerical approach to Stefan-like problems , 1991 .
[54] Peter A. Forsyth,et al. A Control Volume Finite Element Approach to NAPL Groundwater Contamination , 1991, SIAM J. Sci. Comput..
[55] Jérôme Jaffré,et al. Upstream differencing for multiphase flow in reservoir simulation , 1991 .
[56] Endre Süli,et al. Finite Volume Methods and their Analysis , 1991 .
[57] Zhiqiang Cai,et al. The finite volume element method for diffusion equations on general triangulations , 1991 .
[58] Zhiqiang Cai,et al. On the finite volume element method , 1990 .
[59] Peter A. Forsyth,et al. Quadratic convergence for cell-centered grids , 1988 .
[60] P. Floch,et al. Boundary conditions for nonlinear hyperbolic systems of conservation laws , 1988 .
[61] A. Weiser,et al. On convergence of block-centered finite differences for elliptic-problems , 1988 .
[62] E. Turkel,et al. Preconditioned methods for solving the incompressible low speed compressible equations , 1987 .
[63] Thomas A. Manteuffel,et al. The numerical solution of second-order boundary value problems on nonuniform meshes , 1986 .
[64] I I Danilyuk,et al. On the Stefan problem , 1985 .
[65] R. J. Diperna,et al. Measure-valued solutions to conservation laws , 1985 .
[66] S. Osher. Riemann Solvers, the Entropy Condition, and Difference , 1984 .
[67] M. Holt,et al. Numerical Solutions of Partial Differential Equations , 1983 .
[68] P. Raviart,et al. Finite Element Approximation of the Navier-Stokes Equations , 1979 .
[69] B. V. Leer,et al. Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .
[70] M. Crandall,et al. Monotone difference approximations for scalar conservation laws , 1979 .
[71] G. Sod. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws , 1978 .
[72] R. Temam. Navier-Stokes Equations , 1977 .
[73] Calyampudi R. Rao,et al. Characterization Problems in Mathematical Statistics , 1975 .
[74] J. Ciavaldini. Analyse Numerique d’un Probleme de Stefan a Deux Phases Par une Methode d’Elements Finis , 1975 .
[75] D. R. Atthey. A Finite Difference Scheme for Melting Problems , 1974 .
[76] B. V. Leer,et al. Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme , 1974 .
[77] G. Meyer. Multidimensional Stefan Problems , 1973 .
[78] S. Kružkov. FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES , 1970 .
[79] W. Rudin. Real and complex analysis , 1968 .
[80] A. I. Vol'pert. THE SPACES BV AND QUASILINEAR EQUATIONS , 1967 .
[81] Necas Jindrich. Les Méthodes directes en théorie des équations elliptiques , 2017 .
[82] Juliane Freud,et al. Characterization Problems In Mathematical Statistics , 2016 .
[83] Julien Vovelle,et al. Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains , 2002, Numerische Mathematik.
[84] Robert Eymard,et al. H-convergence and numerical schemes for elliptic equations SIAM Journal on Numerical Analysis , 2000 .
[85] Claire Chainais-Hillairet,et al. Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate , 1999 .
[86] Raimund Bürger,et al. The initial-boundary value problem for a scalar conservation law , 1999 .
[87] So-Hsiang Chou,et al. ERROR ESTIMATES IN L, H AND L∞ IN COVOLUME METHODS FOR ELLIPTIC AND PARABOLIC PROBLEMS: A UNIFIED APPROACH , 1999 .
[88] Jean-Pierre Croisille,et al. Finite volume box schemes on triangular meshes , 1998 .
[89] Mark A. Peletier,et al. Disappearing interfaces in nonlinear diffusion , 1997 .
[90] Martin Stynes,et al. An analysis of a cell-vertex finite volume method for a parabolic convection-diffusion problem , 1997, Math. Comput..
[91] Jean-Marie Masella. Quelques méthodes numériques pour les écoulements diphasiques bi-fluide en conduites pétrolières , 1997 .
[92] R. Nicolaides,et al. Analysis and convergence of the MAC scheme. II. Navier-Stokes equations , 1996, Math. Comput..
[93] N. Botta,et al. A Finite Volume Projection Method for the Numerical Solution of the Incompressible Navier-Stokes Equations on Triangular Grids , 1996 .
[94] J. Maître,et al. Connection between finite volume and mixed finite element methods , 1996 .
[95] P. Lions. Mathematical topics in fluid mechanics , 1996 .
[96] M. Vignal. Convergence of a finite volume scheme for an elliptic-hyperbolic system , 1996 .
[97] Raphaèle Herbin,et al. EXISTENCE AND UNIQUENESS OF THE ENTROPY SOLUTION TO A NONLINEAR HYPERBOLIC EQUATION , 1995 .
[98] T. Barth. Aspects of Unstructured Grids and Finite-Volume Solvers for the Euler and Navier-Stokes Equations , 1994 .
[99] Jean-Paul Vila,et al. Convergence and error estimates in finite volume schemes for general multidimensional scalar conservation laws. I. Explicite monotone schemes , 1994 .
[100] R. Eymard,et al. Convergence d'un schéma implicite de types élèments finis-volumes finis pour un système formé d'une équation elliptique et d'une équation hyperbolique , 1994 .
[101] P. Chévrier,et al. A Van Leer finite volume scheme for the Euler equations on unstructured meshes , 1993 .
[102] K. W. Morton,et al. Finite volume solutions of convection-diffusion test problems , 1993 .
[103] V. Selmin,et al. The node-centred finite volume approach: bridge between finite differences and finite elements , 1993 .
[105] Anela Kumbaro. Modélisation, analyse mathématique et numérique des modèles bi-fluides d'écoulement diphasique. , 1992 .
[106] Thierry Gallouët,et al. Convergence d'un schéma décentré amont sur un maillage triangulaire pour un problème hyperbolique linéaire , 1992 .
[107] P. G. Ciarlet,et al. Basic error estimates for elliptic problems , 1991 .
[108] J. Tinsley Oden,et al. Finite elements: An introduction , 1991 .
[109] Abdallah Chalabi,et al. Sur la théorie et l'approximation numérique de problèmes hyperboliques non linéaires , 1990 .
[110] R. LeVeque,et al. Numerical methods for conservation laws , 1990 .
[111] Peter A. Forsyth,et al. A Control Volume Finite Element Method for Local Mesh Refinement , 1989 .
[112] Christian Olivier,et al. Resolution numerique des equations de Navier-Stokes pour un fluide compressible en maillage triangulaire , 1989 .
[113] Anders Szepessy,et al. An existence result for scalar conservation laws using measure valued solutions. , 1989 .
[114] Philippe Angot,et al. Contribution à l'étude des transferts thermiques dans des systèmes complexes : application aux composants électroniques , 1989 .
[115] Philip L. Roe,et al. The use of the Riemann problem in finite difference schemes , 1989 .
[116] Agnès Pfertzel. Sur quelques schemas numeriques pour la resolution des ecoulements multiphasiques en milieu poreux , 1987 .
[117] Lambertus A. Peletier,et al. Positivity versus localization in degenerate diffusion equations , 1985 .
[118] K. Deimling. Nonlinear functional analysis , 1985 .
[119] R. Sanders. On convergence of monotone finite difference schemes with variable spatial differencing , 1983 .
[120] P. Lax,et al. On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws , 1983 .
[121] H. Brezis. Analyse fonctionnelle : théorie et applications , 1983 .
[122] J. Nédélec,et al. First order quasilinear equations with boundary conditions , 1979 .
[123] Haim Brezis,et al. A numerical method for solving the problem $u_t - \Delta f (u) = 0$ , 1979 .
[124] B. Vanleer,et al. Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .
[125] N. N. Kuznetsov. Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation , 1976 .
[126] V. Zhurin,et al. Introduction to the theory of difference schemes: A. A. Samarskii, 552p. Nauka, Editor-in-chief of physical-mathematical literature, Moscow, 1971☆ , 1973 .
[127] O. Ladyženskaja. Linear and Quasilinear Equations of Parabolic Type , 1968 .
[128] A. A. Samarskii. Monotonic difference schemes for elliptic and parabolic equations in the case of a non-selfadjoint elliptic operator☆ , 1965 .
[129] Ye.G. D'yakonov,et al. Introduction to the theory of difference schemes , 1964 .
[130] A. A. Samarskii,et al. Homogeneous difference schemes on non-uniform nets☆ , 1963 .