A GPU-accelerated nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility
DOI10.1002/nme.5576zbMATH Open1548.76129MaRDI QIDQ6557473
Jesse Chan, Axel Modave, Timothy Warburton, Andreas Atle
Publication date: 18 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
absorbing boundary conditionfinite elementtransient wave propagationdiscontinuous GalerkinGPU computing
Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical algorithms for specific classes of architectures (65Y10)
Cites Work
- Unnamed Item
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- An efficient parallel implementation of explicit multirate Runge-Kutta schemes for discontinuous Galerkin computations
- Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials
- The double absorbing boundary method
- Development of PML absorbing boundary conditions for computational aeroacoustics: a progress review
- Long-time stable high-order absorbing boundary conditions for elastodynamics
- A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media
- A finite element scheme with a high order absorbing boundary condition for elastodynamics
- GPU-accelerated discontinuous Galerkin methods on hybrid meshes
- Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations
- Nodal discontinuous Galerkin methods on graphics processors
- High-order absorbing boundary conditions for anisotropic and convective wave equations
- An explicit construction of interpolation nodes on the simplex
- An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
- Radiation boundary conditions for time-dependent waves based on complete plane wave expansions
- A complex coefficient rational approximation of \(\sqrt{1+x}\)
- A perfectly matched layer for the absorption of electromagnetic waves
- High-order boundary conditions and finite elements for infinite domains
- On the constants in \(hp\)-finite element trace inverse inequalities.
- Double absorbing boundaries for finite-difference time-domain electromagnetics
- High-order non-reflecting boundary scheme for time-dependent waves
- Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions
- Optimizing the perfectly matched layer
- Non-conforming Galerkin finite element methods for local absorbing boundary conditions of higher order
- Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations
- A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account non-local dispersion effects
- An improved surface radiation condition for high-frequency acoustic scattering problems
- High-order local non-reflecting boundary conditions: a review
- A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems
- Reduced storage nodal discontinuous Galerkin methods on semi-structured prismatic meshes
- A parallel non-conforming multi-element DGTD method for the simulation of electromagnetic wave interaction with metallic nanoparticles
- Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves
- Optimal finite difference grids and rational approximations of the square root. I: Elliptic problems
- A Low-Storage Curvilinear Discontinuous Galerkin Method for Wave Problems
- Double Absorbing Boundary Formulations for Acoustics and Elastodynamics
- Optimizing perfectly matched layers in discrete contexts
- CONTINUED-FRACTION ABSORBING BOUNDARY CONDITIONS FOR THE WAVE EQUATION
- Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods
- Numerical accuracy of a Padé-type non-reflecting boundary condition for the finite element solution of acoustic scattering problems at high-frequency
- Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability
- LOCAL HIGH-ORDER ABSORBING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES IN GUIDES
- Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
- Higher Order Paraxial Wave Equation Approximations in Heterogeneous Media
- Absorbing boundary conditions for numerical simulation of waves
- Radiation boundary conditions for acoustic and elastic wave calculations
- On the Stability Analysis of Boundary Conditions for the Wave Equation by Energy Methods. Part I: The Homogeneous Case
- On Optimal Finite-Difference Approximation of PML
- Finite Volume Methods for Hyperbolic Problems
- GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations
- GPU-Accelerated Bernstein--Bézier Discontinuous Galerkin Methods for Wave Problems
- High-order nonreflecting boundary conditions without high-order derivatives
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