An Error Estimate for Finite Volume Methods for Multidimensional Conservation Laws (Q4305982)

scientific article; zbMATH DE number 639646

Language	Label	Description	Also known as
English	An Error Estimate for Finite Volume Methods for Multidimensional Conservation Laws	scientific article; zbMATH DE number 639646

Statements

instance of

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3 February 1997

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zbMATH Keywords

error estimate

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discontinuous solution

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finite volume methods

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multidimensional conservation laws

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describes a project that uses

HLLE

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.2307/2153563

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title

An Error Estimate for Finite Volume Methods for Multidimensional Conservation Laws (English)

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cites work

Spectral Viscosity Approximations to Multidimensional Scalar Conservation Laws

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Entropy flux‐splittings for hyperbolic conservation laws part I: General framework

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Stability theorem and truncation error analysis for the Glimm scheme and for a front tracking method for flows with strong discontinuities

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Quasimonotone Schemes for Scalar Conservation Laws Part I

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Quasimonotone Schemes for Scalar Conservation Laws. Part II

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Quasimonotone Schemes for Scalar Conservation Laws. Part III

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On the Continuity in BV (Ω) of the L 2 -Projection into Finite Element Spaces

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Convergence of the Finite Volume Method for Multidimensional Conservation Laws

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TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework

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The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case

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The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws

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Q3471663

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Convergence of Finite Difference Schemes for Conservation Laws in Several Space Dimensions: The Corrected Antidiffusive Flux Approach

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Convergence of Finite Difference Schemes for Conservation Laws in Several Space Dimensions: A General Theory

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Monotone Difference Approximations for Scalar Conservation Laws

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Convergence of approximate solutions to conservation laws

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Measure-valued solutions to conservation laws

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On the Accuracy of Stable Schemes for 2D Scalar Conservation Laws

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On finite-difference approximations and entropy conditions for shocks

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On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws

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Error Bounds for Glimm Difference Approximations for Scalar Conservation Laws

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Why Nonconservative Schemes Converge to Wrong Solutions: Error Analysis

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On the Convergence of a Finite Element Method for a Nonlinear Hyperbolic Conservation Law

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FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation

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Hyperbolic systems of conservation laws II

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Error Bounds for the Methods of Glimm, Godunov and LeVeque

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A Moving Mesh Numerical Method for Hyperbolic Conservation Laws

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On Nonlocal Monotone Difference Schemes for Scalar Conservation Laws

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The Convergence Rate of Approximate Solutions for Nonlinear Scalar Conservation Laws

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Riemann Solvers, the Entropy Condition, and Difference

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Numerical Approximations to Nonlinear Conservation Laws with Locally Varying Time and Space Grids

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On the Convergence of Difference Approximations to Scalar Conservation Laws

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On Convergence of Monotone Finite Difference Schemes with Variable Spatial Differencing

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Q3710181

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Q4746129

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Convergence of a Shock-Capturing Streamline Diffusion Finite Element Method for a Scalar Conservation Law in Two Space Dimensions

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Convergence of a streamline diffusion finite element method for scalar conservation laws with boundary conditions

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Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes

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Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations

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Identifiers

zbMATH Open document ID

0855.65103

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DOI

10.2307/2153563

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4305982