A review of finite element methods for room acoustics

AG Prinn - Acoustics, 2023 - mdpi.com
Accurate predictions of the wave-dominated region of an acoustic field in a room can be
generated using wave-based computational methods. One such method is the finite element …

Fast matrix-free evaluation of discontinuous Galerkin finite element operators

M Kronbichler, K Kormann - ACM Transactions on Mathematical …, 2019 - dl.acm.org
We present an algorithmic framework for matrix-free evaluation of discontinuous Galerkin
finite element operators. It relies on fast quadrature with sum factorization on quadrilateral …

Room acoustics modelling in the time-domain with the nodal discontinuous Galerkin method

H Wang, I Sihar, R Pagán Muñoz… - The Journal of the …, 2019 - pubs.aip.org
To solve the linear acoustic equations for room acoustic purposes, the performance of the
time-domain nodal discontinuous Galerkin (DG) method is evaluated. A nodal DG method is …

Time-domain impedance boundary condition modeling with the discontinuous Galerkin method for room acoustics simulations

H Wang, M Hornikx - The Journal of the Acoustical Society of America, 2020 - pubs.aip.org
The time-domain nodal discontinuous Galerkin (TD-DG) method is emerging as a potential
wave-based method for three-dimensional (3D) room acoustics modeling, where high-order …

An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs

N Wintermeyer, AR Winters, GJ Gassner… - Journal of Computational …, 2018 - Elsevier
We extend the entropy stable high order nodal discontinuous Galerkin spectral element
approximation for the non-linear two dimensional shallow water equations presented by …

A GPU-accelerated continuous and discontinuous Galerkin non-hydrostatic atmospheric model

DS Abdi, LC Wilcox, TC Warburton… - … Journal of High …, 2019 - journals.sagepub.com
We present a Graphics Processing Unit (GPU)-accelerated nodal discontinuous Galerkin
method for the solution of the three-dimensional Euler equations that govern the motion and …

Estimation of groundwater storage from seismic data using deep learning

T Lähivaara, A Malehmir, A Pasanen… - Geophysical …, 2019 - earthdoc.org
Convolutional neural networks can provide a potential framework to characterize
groundwater storage from seismic data. Estimation of key components, such as the amount …

A GPU accelerated discontinuous Galerkin incompressible flow solver

A Karakus, N Chalmers, K Świrydowicz… - Journal of Computational …, 2019 - Elsevier
We present a GPU-accelerated version of a high-order discontinuous Galerkin discretization
of the unsteady incompressible Navier–Stokes equations. The equations are discretized in …

OpenCL-based FPGA design to accelerate the nodal discontinuous Galerkin method for unstructured meshes

T Kenter, G Mahale, S Alhaddad… - 2018 IEEE 26th …, 2018 - ieeexplore.ieee.org
The exploration of FPGAs as accelerators for scientific simulations has so far mostly been
focused on small kernels of methods working on regular data structures, for example in the …

An arbitrary high-order discontinuous Galerkin method with local time-stepping for linear acoustic wave propagation

H Wang, M Cosnefroy, M Hornikx - … Journal of the Acoustical Society of …, 2021 - pubs.aip.org
This paper presents a numerical scheme of arbitrary order of accuracy in both space and
time, based on the arbitrary high-order derivatives methodology, for transient acoustic …