A priori error estimates for upwind finite volume schemes for two-dimensional linear convection diffusion problems
DOI10.1007/s00574-016-0163-9zbMath1356.65234OpenAlexW2474847238MaRDI QIDQ504591
Mirko Rokyta, Dietmar B. Kröner
Publication date: 17 January 2017
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00574-016-0163-9
a priori error estimateselliptic problemfirst-order finite volume schemehigher-order finite volume schemeslinear convection dominated diffusion equation in 2DMUSCL-type reconstruction/limiterupwind finite volume scheme
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite volume methods for boundary value problems involving PDEs (65N08)
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Cites Work
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- A posteriori error estimates for HDG methods
- A priori error estimates for upwind finite volume schemes for two-dimensional linear convection diffusion problems
- Error estimate for the upwind finite volume method for the nonlinear scalar conservation law
- Finite difference methods on irregular networks. A generalized approach to second order elliptic problems. (Licensed ed.)
- Triangle based adaptive stencils for the solution of hyperbolic conservation laws
- Streamline diffusion finite element method for quasilinear elliptic problems
- Convergence of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions
- Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes.
- 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
- A priori error estimates of an extrapolated space-time discontinuous galerkin method for nonlinear convection-diffusion problems
- On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems
- Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids
- On the Convergence of a Finite Element Method for a Nonlinear Hyperbolic Conservation Law
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems
- Convergence of Upwind Finite Volume Schemes for Scalar Conservation Laws in Two Dimensions
- An Error Estimate for Finite Volume Methods for Multidimensional Conservation Laws
- An error estimate for a finite volume scheme for a diffusion–convection problem on a triangular mesh
- Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws
- Convergence and error estimates in finite volume schemes for general multidimensional scalar conservation laws. I. Explicite monotone schemes
- Convergence of the Finite Volume Method for Multidimensional Conservation Laws
- A priori error estimates for numerical methods for scalar conservation laws. Part I: The general approach
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