Pressure tensor for electrostatic interaction calculated by fast multipole method with periodic boundary condition
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Computational Chemistry"
DOI: 10.1002/jcc.25179
Abstract: A microscopic expression of the pressure tensor using the fast multipole method (FMM) with periodic boundary conditions has been derived. The pressure tensor calculated using this expression has been compared with that obtained using the… read more here.
Keywords: pressure tensor; multipole method; pressure; fast multipole ... See more keywords
hp Fast Multipole Boundary Element Method for 3D‐Acoustics
Sign Up to like & getrecommendations! Published in 2017 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.5434
Abstract: Summary A Fast Multipole Boundary Element Method (FMBEM) extended by an adaptive mesh refinement algorithm for solving acoustic problems in three-dimensional space is presented in this paper. The Collocation method is used, and the Burton-Miller… read more here.
Keywords: acoustics; method; boundary element; fast multipole ... See more keywords
Fast multipole methods for approximating a function from sampling values
Sign Up to like & getrecommendations! Published in 2017 at "Numerical Algorithms"
DOI: 10.1007/s11075-017-0279-z
Abstract: Both barycentric Lagrange interpolation and barycentric rational interpolation are thought to be stable and effective methods for approximating a given function on some special point sets. A direct evaluation of these interpolants due to N… read more here.
Keywords: approximating function; fast multipole; methods approximating; multipole methods ... See more keywords
A tailored fast multipole boundary element method for viscous layer mesh generation
Sign Up to like & getrecommendations! Published in 2019 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2018.12.006
Abstract: Abstract In this study, the fast multipole boundary element method (BEM) is tailored to solve Laplacian equations, aimed at providing smoothed marching directions for the generation of boundary layer elements and overcoming the performance bottleneck… read more here.
Keywords: method; multipole boundary; boundary element; fast multipole ... See more keywords
Convergence of highly parallel stray field calculation using the fast multipole method on irregular meshes
Sign Up to like & getrecommendations! Published in 2018 at "AIP Advances"
DOI: 10.1063/1.5006896
Abstract: Fast stray field calculation is commonly considered of great importance for micromagnetic simulations, since it is the most time consuming part of the simulation. The Fast Multipole Method (FMM) has displayed linear O(N) parallelization behavior… read more here.
Keywords: field; stray field; multipole method; fast multipole ... See more keywords
Propagating Plane-Wave Fast Multipole Translation Operators Revisited—Standard, Windowed, Gaussian Beam
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Antennas and Propagation"
DOI: 10.1109/tap.2021.3061568
Abstract: Propagating plane-wave fast multipole translation operators (TLOPs) convert propagating plane-wave spectra radiated from a source region of finite extent into incident propagating plane-wave spectra at a distant observation region of finite extent. This translation is… read more here.
Keywords: plane; translation; plane wave; propagating plane ... See more keywords
A Quasi-Static Boundary Element Approach With Fast Multipole Acceleration for High-Resolution Bioelectromagnetic Models
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Biomedical Engineering"
DOI: 10.1109/tbme.2018.2813261
Abstract: Objective: We develop a new accurate version of the boundary element fast multipole method for transcranial magnetic stimulation (TMS) related problems. This method is based on the surface-charge formulation and is using the highly efficient… read more here.
Keywords: resolution; high resolution; quasi static; boundary element ... See more keywords
Structural-acoustic optimization based on Fast Multipole Boundary Element Method sensitivity analysis of a coupled acoustic fluid-structure system
Sign Up to like & getrecommendations! Published in 2017 at "Journal of the Acoustical Society of America"
DOI: 10.1121/1.4987372
Abstract: For the light structures immersed in water, a full fluid-structure interaction (FSI) has to be considered when structural acoustics is analyzed. However, the computation costs for the FSI prediction and optimization is always huge. The… read more here.
Keywords: sensitivity; optimization; sensitivity analysis; fast multipole ... See more keywords
A simple numerical experiment of Green's function expansion in the Fast Multipole Method
Sign Up to like & getrecommendations! Published in 2017 at "Applied and Environmental Microbiology"
DOI: 10.7716/aem.v6i4.574
Abstract: In this paper the theoretical foundation of the fast multipole method (FMM) applied to electromagnetic scattering problems is briefly presented, the truncation of the GREEN’s function expansion is revisited, and the well established truncation criteria,… read more here.
Keywords: expansion; green function; multipole method; fast multipole ... See more keywords