An extension of DG methods for hyperbolic problems to one-dimensional semi-infinite domains
DOI10.1016/j.amc.2018.12.057zbMath1429.65235arXiv1803.10997OpenAlexW2912357195WikidataQ128546298 ScholiaQ128546298MaRDI QIDQ2009259
Tommaso Benacchio, Luca Bonaventura
Publication date: 27 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.10997
Laguerre functionsdomain decompositiondiscontinuous Galerkin methodshyperbolic equationsspectral methodsopen boundary conditions
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial-boundary value problems for first-order hyperbolic systems (35L50)
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Cites Work
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- An experimental adaptation of Higdon-type non-reflecting boundary conditions to linear first-order systems
- A coupled Legendre-Laguerre spectral-element method for the Navier-Stokes equations in unbounded domains
- High-order non-reflecting boundary conditions for the linearized 2-D Euler equations: no mean flow case
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems
- Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Approximation of radiation boundary conditions
- On the analysis and construction of perfectly matched layers for the linearized Euler equations
- Numerical solution of problems on unbounded domains. A review
- A perfectly matched layer for the absorption of electromagnetic waves
- A positive finite-difference advection scheme
- Well-posed perfectly matched layers for advective acoustics
- Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations
- Mixed finite elements for numerical weather prediction
- A REVIEW OF INFINITE ELEMENT METHODS FOR EXTERIOR HELMHOLTZ PROBLEMS
- ASYMPTOTIC DERIVATION OF THE SECTION-AVERAGED SHALLOW WATER EQUATIONS FOR NATURAL RIVER HYDRAULICS
- Absorbing Boundary Conditions for the Numerical Simulation of Waves
- Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
- Absorbing boundary conditions: a spectral collocation approach
- Application of high‐order Higdon non‐reflecting boundary conditions to linear shallow water models
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