Extendible and efficient Python framework for solving evolution equations with stabilized discontinuous Galerkin methods
DOI10.1007/s42967-021-00134-5zbMath1499.65490arXiv2009.13416OpenAlexW3196381478WikidataQ114216658 ScholiaQ114216658MaRDI QIDQ2143374
Robert Klöfkorn, Andreas Dedner
Publication date: 31 May 2022
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.13416
Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical quadrature and cubature formulas (65D32) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31) PDEs in connection with mathematical programming (35Q90) Compressible Navier-Stokes equations (76N06)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- An integrated linear reconstruction for finite volume scheme on unstructured grids
- Entropy viscosity method for nonlinear conservation laws
- A generic interface for parallel and adaptive discretization schemes: Abstraction principles and the DUNE-FEM module
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods
- A generic stabilization approach for higher order discontinuous Galerkin methods for convection dominated problems
- Automated solution of differential equations by the finite element method. The FEniCS book
- Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks
- A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Comparison of linear reconstructions for second-order finite volume schemes on polyhedral grids
- On some aspects of the discontinuous Galerkin finite element method for conservation laws
- The \textsc{Dune} framework: basic concepts and recent developments
- Assimulo: a unified framework for ODE solvers
- Python framework for \(hp\)-adaptive discontinuous Galerkin methods for two-phase flow in porous media
- Explicit discontinuous Galerkin methods for unsteady problems
- High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
- Positivity-preserving DG and central DG methods for ideal MHD equations
- Adaptive simulations of two-phase flow by discontinuous Galerkin methods
- Strong Stability-Preserving High-Order Time Discretization Methods
- Two-Dimensional Slope Limiters for Finite Volume Schemes on Non-Coordinate-Aligned Meshes
- Compact and Stable Discontinuous Galerkin Methods for Convection-Diffusion Problems
- Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
- Firedrake
- deal.II—A general-purpose object-oriented finite element library
- Computation of electromagnetic scattering with a non‐conforming discontinuous spectral element method
- Automatic Symbolic Computation for Discontinuous Galerkin Finite Element Methods
- Subcell finite volume multigrid preconditioning for high-order discontinuous Galerkin methods
- A Python Framework for Solving Advection-Diffusion Problems
- Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations
- Error Control for a Class of Runge–Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws
- Unified form language
- Spectral/hp Element Methods for Computational Fluid Dynamics
This page was built for publication: Extendible and efficient Python framework for solving evolution equations with stabilized discontinuous Galerkin methods
