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A fast and accurate domain decomposition nonlinear manifold reduced order model
This paper integrates nonlinear-manifold reduced order models (NM-ROMs) with domain
decomposition (DD). NM-ROMs approximate the full order model (FOM) state in a nonlinear …
decomposition (DD). NM-ROMs approximate the full order model (FOM) state in a nonlinear …
A one-shot overlap** Schwarz method for component-based model reduction: application to nonlinear elasticity
We propose a component-based (CB) parametric model order reduction (pMOR) formulation
for parameterized nonlinear elliptic partial differential equations (PDEs) based on …
for parameterized nonlinear elliptic partial differential equations (PDEs) based on …
Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases
This paper formulates, analyzes and demonstrates numerically a method for the explicit
partitioned solution of coupled interface problems involving combinations of projection …
partitioned solution of coupled interface problems involving combinations of projection …
A non-overlap** optimization-based domain decomposition approach to component-based model reduction of incompressible flows
We present a component-based model order reduction procedure to efficiently and
accurately solve parameterized incompressible flows governed by the Navier-Stokes …
accurately solve parameterized incompressible flows governed by the Navier-Stokes …
[HTML][HTML] An overlap** domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition
A non-intrusive proper generalized decomposition (PGD) strategy, coupled with an
overlap** domain decomposition (DD) method, is proposed to efficiently construct …
overlap** domain decomposition (DD) method, is proposed to efficiently construct …
[HTML][HTML] Modular parametric PGD enabling online solution of partial differential equations
In the present work, a new methodology is proposed for building surrogate parametric
models of engineering systems based on modular assembly of pre-solved modules. Each …
models of engineering systems based on modular assembly of pre-solved modules. Each …
Domain Decomposition-based coupling of Operator Inference reduced order models via the Schwarz alternating method
This paper presents and evaluates an approach for coupling together subdomain-local
reduced order models (ROMs) constructed via non-intrusive operator inference (OpInf) with …
reduced order models (ROMs) constructed via non-intrusive operator inference (OpInf) with …
[HTML][HTML] Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps
We propose a local, non-intrusive model order reduction technique to accurately
approximate the solution of coupled multi-component parametrized systems governed by …
approximate the solution of coupled multi-component parametrized systems governed by …
Variationally consistent Hamiltonian model reduction
Although ubiquitous as first-principles models for conservative phenomena, Hamiltonian
systems present numerous challenges for model reduction even in relatively simple, linear …
systems present numerous challenges for model reduction even in relatively simple, linear …
Embedded symmetric positive semi-definite machine-learned elements for reduced-order modeling in finite-element simulations with application to threaded fasteners
E Parish, P Lindsay, T Shelton, J Mersch - Computational Mechanics, 2024 - Springer
We present a machine-learning strategy for finite element analysis of solid mechanics
wherein we replace complex portions of a computational domain with a data-driven …
wherein we replace complex portions of a computational domain with a data-driven …