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Multilevel Spectral Domain Decomposition [PDF]

open access: yesSIAM Journal on Scientific Computing, 2022
25 ...
Bastian, Peter   +3 more
openaire   +2 more sources

Domain Decomposition With Non-Conforming Polyhedral Grids

open access: yesIEEE Access, 2021
A novel mortar approach for the domain decomposition of field problems discretized in terms of nodal variables by the cell method is here proposed.
Federico Moro, Lorenzo Codecasa
doaj   +1 more source

Sensitivity Analysis of the Data Assimilation-Driven Decomposition in Space and Time to Solve PDE-Constrained Optimization Problems

open access: yesAxioms, 2023
This paper is presented in the context of sensitivity analysis (SA) of large-scale data assimilation (DA) models. We studied consistency, convergence, stability and roundoff error propagation of the reduced-space optimization technique arising in ...
Luisa D’Amore, Rosalba Cacciapuoti
doaj   +1 more source

Component-Based Reduced Order Modeling of Large-Scale Complex Systems

open access: yesFrontiers in Physics, 2022
Large-scale engineering systems, such as propulsive engines, ship structures, and wind farms, feature complex, multi-scale interactions between multiple physical phenomena.
Cheng Huang   +2 more
doaj   +1 more source

Modeling Multiscale and Multiphysics Coastal Ocean Processes: A Discussion on Necessity, Status, and Advances

open access: yesJournal of Marine Science and Engineering, 2021
Coastal ocean flows are interconnected by a complex suite of processes. Examples are inlet jets, river mouth effluents, ocean currents, surface gravity waves, internal waves, wave overtopping, and wave slamming on coastal structures.
Hansong Tang   +3 more
doaj   +1 more source

3D CORE CALCULATION BASED ON THE METHOD OF DYNAMIC HOMOGENIZATION [PDF]

open access: yesEPJ Web of Conferences, 2021
The classical two-step calculation scheme has been extensively used to perform three-dimensional deterministic core calculations thanks to its fast results. On the other hand, direct 3D transport calculations and 2D/1D Fusion methods, mostly based on the
Galia Antonio   +2 more
doaj   +1 more source

Parallel efficiency of a boundary integral equation method for nonlinear water waves [PDF]

open access: yes, 1997
We describe the application of domain decomposition on a boundary integral method for the study of nonlinear surface waves on water in a test case for which the domain decomposition approach is an important tool to reduce the computational effort.
Haas, P.C.A. de, Strating, P.
core   +4 more sources

Applying the Swept Rule for Solving Two-Dimensional Partial Differential Equations on Heterogeneous Architectures

open access: yesMathematical and Computational Applications, 2021
The partial differential equations describing compressible fluid flows can be notoriously difficult to resolve on a pragmatic scale and often require the use of high-performance computing systems and/or accelerators.
Anthony S. Walker, Kyle E. Niemeyer
doaj   +1 more source

Projected Krylov Methods for Solving Non-Symmetric Two-by-Two Block Linear Systems Arising from Fictitious Domain Formulations

open access: yesAdvances in Electrical and Electronic Engineering, 2014
The paper deals with the solution of large non-symmetric two-by-two block linear systems with a singular leading submatrix. Our algorithm consists of two levels.
Radek Kucera   +4 more
doaj   +1 more source

A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods [PDF]

open access: yes, 2008
We present here a domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by a discontinuous Galerkin method.
Alonso-Rodriguez   +32 more
core   +5 more sources

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