Recent advances and emerging applications of the boundary element method
YJ Liu, S Mukherjee… - Applied …, 2011 - asmedigitalcollection.asme.org
Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …
method (BEM) was held on the campus of the University of Akron during September 1–3 …
Fast direct methods for Gaussian processes
A number of problems in probability and statistics can be addressed using the multivariate
normal (Gaussian) distribution. In the one-dimensional case, computing the probability for a …
normal (Gaussian) distribution. In the one-dimensional case, computing the probability for a …
A GPU-accelerated fast multipole method for GROMACS: performance and accuracy
B Kohnke, C Kutzner… - Journal of Chemical Theory …, 2020 - ACS Publications
An important and computationally demanding part of molecular dynamics simulations is the
calculation of long-range electrostatic interactions. Today, the prevalent method to compute …
calculation of long-range electrostatic interactions. Today, the prevalent method to compute …
An Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices: With Application to Radial Basis Function Interpolation
This article describes a fast direct solver (ie, not iterative) for partial hierarchically semi-
separable systems. This solver requires a storage of\mathcal O (N\log N) O (N log N) and …
separable systems. This solver requires a storage of\mathcal O (N\log N) O (N log N) and …
B-spline parameterized joint optimization of reconstruction and k-space trajectories (bjork) for accelerated 2d mri
Optimizing k-space sampling trajectories is a promising yet challenging topic for fast
magnetic resonance imaging (MRI). This work proposes to optimize a reconstruction method …
magnetic resonance imaging (MRI). This work proposes to optimize a reconstruction method …
Optimizing full 3d sparkling trajectories for high-resolution magnetic resonance imaging
The Spreading Projection Algorithm for Rapid K-space sampLING, or SPARKLING, is an
optimization-driven method that has been recently introduced for accelerated 2D MRI using …
optimization-driven method that has been recently introduced for accelerated 2D MRI using …
A fast block low-rank dense solver with applications to finite-element matrices
This article presents a fast solver for the dense “frontal” matrices that arise from the
multifrontal sparse elimination process of 3D elliptic PDEs. The solver relies on the fact that …
multifrontal sparse elimination process of 3D elliptic PDEs. The solver relies on the fact that …
On the BEM for acoustic wave problems
Y Liu - Engineering Analysis with Boundary Elements, 2019 - Elsevier
The progress of the boundary element method (BEM) for solving acoustic wave problems is
reviewed in this paper. The BEM is in a unique position among all the numerical methods …
reviewed in this paper. The BEM is in a unique position among all the numerical methods …
Recent advances on the fast multipole accelerated boundary element method for 3D time-harmonic elastodynamics
S Chaillat, M Bonnet - Wave Motion, 2013 - Elsevier
This article is mainly devoted to a review on fast BEMs for elastodynamics, with particular
attention on time-harmonic fast multipole methods (FMMs). It also includes original results …
attention on time-harmonic fast multipole methods (FMMs). It also includes original results …
PVFMM: A parallel kernel independent FMM for particle and volume potentials
We describe our implementation of a parallel fast multipole method for evaluating potentials
for discrete and continuous source distributions. The first requires summation over the …
for discrete and continuous source distributions. The first requires summation over the …