An H-LU Based Direct Finite Element Solver Accelerated by Nested Dissection for Large-scale Modeling of ICs and Packages

Formation anisotropy in complicated geophysical environments can have a significant impact on data interpretation of electromagnetic surveys. To facilitate full 3D modeling of arbitrary anisotropy, we have adopted an h-version geometric multigrid preconditioned finite-element method based on vector basis functions. By using a structured mesh, instead of an unstructured one, our method can conveniently construct the restriction and prolongation operators for multigrid implementation, and then recursively coarsen the grid with the F-cycle coarsening scheme. The geometric multigrid method is used as a preconditioner for the biconjugate-gradient stabilized method to efficiently solve the linear system resulting from the finite-element method. Our method avoids the need of interpolation for arbitrary anisotropy modeling as in Yee’s grid-based finite-difference method, and it is also more capable of large-scale modeling with respect to the p-version geometric multigrid preconditioned finite-element method. A numerical example in geophysical well logging is included to demonstrate its numerical performance. Our h-version geometric multigrid preconditioned finite-element method is expected to help formation anisotropy characterization with electromagnetic surveys in complicated geophysical environments.

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PowerSystems.jl — A power system data management package for large scale modeling

SoftwareX ◽

10.1016/j.softx.2021.100747 ◽

2021 ◽

Vol 15 ◽

pp. 100747

Author(s):

José Daniel Lara ◽

Clayton Barrows ◽

Daniel Thom ◽

Dheepak Krishnamurthy ◽

Duncan Callaway

Keyword(s):

Power System ◽

Data Management ◽

Large Scale ◽

Scale Modeling ◽

System Data ◽

Large Scale Modeling

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Large-Scale Modeling of Multispecies Acute Toxicity End Points Using Consensus of Multitask Deep Learning Methods

Journal of Chemical Information and Modeling ◽

10.1021/acs.jcim.0c01164 ◽

2021 ◽

Vol 61 (2) ◽

pp. 653-663

Author(s):

Sankalp Jain ◽

Vishal B. Siramshetty ◽

Vinicius M. Alves ◽

Eugene N. Muratov ◽

Nicole Kleinstreuer ◽

...

Keyword(s):

Deep Learning ◽

Acute Toxicity ◽

Large Scale ◽

Learning Methods ◽

End Points ◽

Scale Modeling ◽

Large Scale Modeling

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Stochastic representation of the Reynolds transport theorem: Revisiting large-scale modeling

Computers & Fluids ◽

10.1016/j.compfluid.2017.08.017 ◽

2017 ◽

Vol 156 ◽

pp. 456-469 ◽

Cited By ~ 10

Author(s):

S. Kadri Harouna ◽

E. Mémin

Keyword(s):

Large Scale ◽

Stochastic Representation ◽

Scale Modeling ◽

Large Scale Modeling ◽

Transport Theorem

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Large scale modeling of the transport, chemical transformation and mass budget of the sulfur emitted during the April 2007 eruption of Piton de la Fournaise

Atmospheric Chemistry and Physics ◽

10.5194/acp-11-4533-2011 ◽

2011 ◽

Vol 11 (9) ◽

pp. 4533-4546 ◽

Cited By ~ 31

Author(s):

P. Tulet ◽

N. Villeneuve

Keyword(s):

Dry Deposition ◽

Large Scale ◽

Temporal Evolution ◽

Active Period ◽

General Shape ◽

So2 Emission ◽

Piton De La Fournaise ◽

Scale Modeling ◽

The Indian Ocean ◽

Large Scale Modeling

Abstract. In April 2007, the Piton de la Fournaise volcano (Réunion island) entered into its biggest eruption recorded in the last century. Due to the absence of a sensors network in the vicinity of the volcano, an estimation of degassing during the paroxysmal phase of the event has not been performed. Nevertheless, the SO2 plume and aerosols have been observed by the OMI and CALIOP space sensors, respectively. The mesoscale chemical model MesoNH-C simulates the observed bulk mass of SO2 and the general shape of the SO2 plume spreading over the Indian Ocean. Moreover, an analysis of the SO2 plume budget estimates a total SO2 release of 230 kt, among of which 60 kt have been transformed into H2SO4. 27 kt of SO2 and 21 kt of H2SO4 have been deposited at the surface by dry deposition. With this top down approach, the temporal evolution of the SO2 emission has been estimated during the most active period of the eruption. The peak of degassing was estimated at 1800 kg s−1 in the morning of 6~April. The temporal evolution of SO2 emission presented here can also be used for local studies.

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