Geometric error of finite volume schemes for conservation laws on evolving surfaces
From MaRDI portal
Publication:471199
DOI10.1007/s00211-014-0621-5zbMath1306.65250arXiv1301.1287OpenAlexW3099299304MaRDI QIDQ471199
Jan Giesselmann, Thomas Müller
Publication date: 14 November 2014
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.1287
Hyperbolic conservation laws (35L65) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Hyperbolic equations on manifolds (58J45) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (15)
Intrinsic finite element method for advection-diffusion-reaction equations on surfaces ⋮ Adaptive discontinuous Galerkin methods on surfaces ⋮ Virtual Element Method for the Laplace-Beltrami equation on surfaces ⋮ Traces for Functions of Bounded Variation on Manifolds with Applications to Conservation Laws on Manifolds with Boundary ⋮ Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere ⋮ Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds ⋮ Improving the treatment of near-wall regions for multiple-correction \(k\)-exact schemes ⋮ An unfitted dG scheme for coupled bulk-surface PDEs on complex geometries ⋮ Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study ⋮ Discrete Conservation Laws on Evolving Surfaces ⋮ Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary ⋮ Hamilton–Jacobi equations on an evolving surface ⋮ A face-based LTL method for solving diffusion equations and Cahn-Hilliard equations on stationary surfaces ⋮ High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces ⋮ Asymptotic structure of cosmological fluid flows: a numerical study
Uses Software
Cites Work
- Scalar conservation laws on moving hypersurfaces
- A geometric approach to error estimates for conservation laws posed on a spacetime
- A generic interface for parallel and adaptive discretization schemes: Abstraction principles and the DUNE-FEM module
- A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
- Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme
- Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes
- Hyperbolic conservation laws on manifolds: total variation estimates and the finite volume method
- A hybrid numerical method for interfacial fluid flow with soluble surfactant
- A standard test set for numerical approximations to the shallow water equations in spherical geometry
- Scalar conservation laws on constant and time-dependent Riemannian manifolds
- Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds
- High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere
- A wave propagation method for hyperbolic systems on the sphere
- A Convergent Finite Volume Scheme for Diffusion on Evolving Surfaces
- Well-posedness of a Two-phase Flow with Soluble Surfactant
- A convergence result for finite volume schemes on Riemannian manifolds
- Finite elements on evolving surfaces
- Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains
- Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces
- Hyperbolic conservation laws on spacetimes. A finite volume scheme based on differential forms
- An Error Estimate for Finite Volume Methods for Multidimensional Conservation Laws
This page was built for publication: Geometric error of finite volume schemes for conservation laws on evolving surfaces
