GPU-accelerated discontinuous Galerkin methods on hybrid meshes
We present a time-explicit discontinuous Galerkin (DG) solver for the time-domain acoustic
wave equation on hybrid meshes containing vertex-mapped hexahedral, wedge, pyramidal …
wave equation on hybrid meshes containing vertex-mapped hexahedral, wedge, pyramidal …
Stabilized DG-PSTD method with nonconformal meshes for electromagnetic waves
We present a node-based discontinuous Galerkin (DG) pseudospectral time domain (PSTD)
algorithm, with adaptive nonconformal unstructured meshes, for 3-D large-scale Maxwell's …
algorithm, with adaptive nonconformal unstructured meshes, for 3-D large-scale Maxwell's …
Modeling 3-D elastic wave propagation in TI media using discontinuous Galerkin method on tetrahedral meshes
Transversely isotropic (TI) medium is a widely studied anisotropic solid medium in
seismology. The numerical simulation of seismic wave propagation in TI media is an …
seismology. The numerical simulation of seismic wave propagation in TI media is an …
GPU performance analysis of a nodal discontinuous Galerkin method for acoustic and elastic models
Finite element schemes based on discontinuous Galerkin methods possess features
amenable to massively parallel computing accelerated with general purpose graphics …
amenable to massively parallel computing accelerated with general purpose graphics …
Weight-adjusted discontinuous Galerkin methods: wave propagation in heterogeneous media
Time-domain discontinuous Galerkin (DG) methods for wave propagation require
accounting for the inversion of dense elemental mass matrices, where each mass matrix is …
accounting for the inversion of dense elemental mass matrices, where each mass matrix is …
Weight-adjusted discontinuous Galerkin methods: curvilinear meshes
Traditional time-domain discontinuous Galerkin (DG) methods result in large storage costs
at high orders of approximation due to the storage of dense elemental matrices. In this …
at high orders of approximation due to the storage of dense elemental matrices. In this …
High-order GPU-DGTD method based on unstructured grids for GPR simulation
D Feng, S Liu, X Wang, X Wang, G Li - Journal of Applied Geophysics, 2022 - Elsevier
The finite element time-domain (FETD) method is an appealing electromagnetic (EM) field-
solving procedure for the derivation of high-resolution field distribution of complex …
solving procedure for the derivation of high-resolution field distribution of complex …
An Edge Multiscale Interior Penalty Discontinuous Galerkin method for heterogeneous Helmholtz problems with large varying wavenumber
Abstract We propose an Edge Multiscale Finite Element Method (EMsFEM) based on an
Interior Penalty Discontinuous Galerkin (IPDG) formulation for the heterogeneous Helmholtz …
Interior Penalty Discontinuous Galerkin (IPDG) formulation for the heterogeneous Helmholtz …
[HTML][HTML] A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method
GPU accelerated high order reconstruction of signed distance function of the level set
method is studied. The flow based reinitialization equation is discretized in space by using a …
method is studied. The flow based reinitialization equation is discretized in space by using a …
Weight‐adjusted discontinuous Galerkin methods: Matrix‐valued weights and elastic wave propagation in heterogeneous media
J Chan - International Journal for Numerical Methods in …, 2018 - Wiley Online Library
Weight‐adjusted inner products are easily invertible approximations to weighted L 2 inner
products. These approximations can be paired with a discontinuous Galerkin (DG) …
products. These approximations can be paired with a discontinuous Galerkin (DG) …