Found 247 Documents (Results 1–100)
Reduced order modeling for a Schur complement method for fluid-structure interaction. (English) Zbl 07922777
Randomized greedy magic point selection schemes for nonlinear model reduction. (English) Zbl 07909967
Macro-micro decomposition for consistent and conservative model order reduction of hyperbolic shallow water moment equations: a study using POD-Galerkin and dynamical low-rank approximation. (English) Zbl 07909965
A mass-conservative reduced-order algorithm in solving optimal control of convection-diffusion equation. (English) Zbl 07902991
Projection-based reduced-order modelling of time-periodic problems, with application to flow past flapping hydrofoils. (English) Zbl 07897578
Real-time computing for a parameterized feedback control problem of Boussinesq equations by POD and deep learning. (English) Zbl 1542.76023
Transformed model reduction for partial differential equations with sharp inner layers. (English) Zbl 07881666
Primal-dual on-the-fly reduced-order modeling for large-scale transient dynamic topology optimization. (English) Zbl 07875038
An adaptive model order reduction technique for parameter-dependent modular structures. (English) Zbl 07868704
MSC:
74-XX
An optimisation-based domain-decomposition reduced order model for parameter-dependent non-stationary fluid dynamics problems. (English) Zbl 07859671
Complete flow characterization from snapshot PIV, fast probes and physics-informed neural networks. (English) Zbl 1539.76007
Partial learning using partially explicit discretization for heterogeneous transport problem simulation. (English) Zbl 07853796
Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases. (English) Zbl 1536.65140
No pressure? Energy-consistent ROMs for the incompressible Navier-Stokes equations with time-dependent boundary conditions. (English) Zbl 07771309
On the impact of dimensionally-consistent and physics-based inner products for POD-Galerkin and least-squares model reduction of compressible flows. (English) Zbl 07771301
The critical pods of planar quadratic polynomial maps of topological degree 2. (English) Zbl 1531.37084
A proper orthogonal decomposition-compact difference algorithm for plate vibration models. (English) Zbl 07751259
MSC:
65Mxx
Second order error bounds for POD-ROM methods based on first order divided differences. (English) Zbl 07741250
Development of POD-based reduced order models applied to shallow water equations using augmented Riemann solvers. (English) Zbl 1539.76136
Analysis of an innovative sampling strategy based on \(k\)-means clustering algorithm for POD and POD-DEIM reduced order models of a 2-D reaction-diffusion system. (English) Zbl 07734811
A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems. (English) Zbl 1517.62030
Unsteady vortex shedding dynamics behind a circular cylinder in very shallow free-surface flows. (English) Zbl 1521.76112
Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method. (English) Zbl 1538.76119
A data-driven model reduction method for parabolic inverse source problems and its convergence analysis. (English) Zbl 07690228
A reduced order model for the finite element approximation of eigenvalue problems. (English) Zbl 1536.65135
A deep learning approach to reduced order modelling of parameter dependent partial differential equations. (English) Zbl 1504.65255
Disciplinary proper orthogonal decomposition and interpolation for the resolution of Parameterized multidisciplinary analysis. (English) Zbl 07768044
A numerical investigation of the dominant characteristics of a transonic flow over a hemispherical turret. (English) Zbl 1506.76056
Proper orthogonal decomposition analysis of coherent structure in a turbulent flow after a micro-vortex generator. (English) Zbl 1505.76056
MSC:
76F70
Simulation and control of a nonsmooth Cahn-Hilliard Navier-Stokes system with variable fluid densities. (English) Zbl 1502.49015
Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 211-240 (2022).
Model-order reduction for coupled flow and linear thermal-poroplasticity with applications to unconventional reservoirs. (English) Zbl 1504.93039
Beattie, Christopher (ed.) et al., Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 387-407 (2022).
A POD-based ROM strategy for the prediction in time of advection-dominated problems. (English) Zbl 07605620
Simulation of Maxwell equation based on an ADI approach and integrated radial basis function-generalized moving least squares (IRBF-GMLS) method with reduced order algorithm based on proper orthogonal decomposition. (English) Zbl 1521.78016
Optimal design for suppressing time fluctuation part of two-dimensional jet in crossflow. (English) Zbl 07570742
Proper orthogonal decomposition and physical field reconstruction with artificial neural networks (ANN) for supercritical flow problems. (English) Zbl 1521.76899
Spectral proper orthogonal decomposition of coupled hydrodynamic and acoustic fields: application to impinging jet configurations (draft). (English) Zbl 1521.76293
A reduced order modeling method based on GNAT-embedded hybrid snapshot simulation. (English) Zbl 1540.65367
The neural network shifted-proper orthogonal decomposition: a machine learning approach for non-linear reduction of hyperbolic equations. (English) Zbl 1507.65208
An iterative algorithm for POD basis adaptation in solving parametric convection-diffusion equations. (English) Zbl 1507.65192
Loss assessment of the NASA SDT configuration using LES with phase-lagged assumption. (English) Zbl 1521.76207
A fast high order method for time fractional diffusion equation with non-smooth data. (English) Zbl 07461162
Cluster-based probabilistic structure dynamical model of wind turbine wake. (English) Zbl 07876514
MSC:
76-XX
A global eigenvalue reassignment method for the stabilization of nonlinear reduced-order models. (English) Zbl 07863757
Physically interpretable machine learning algorithm on multidimensional non-linear fields. (English) Zbl 07511429
Non intrusive method for parametric model order reduction using a bi-calibrated interpolation on the Grassmann manifold. (English) Zbl 07510048
Non-intrusive reduced-order modeling using uncertainty-aware deep neural networks and proper orthogonal decomposition: application to flood modeling. (English) Zbl 07508459
A low-dimensional compact finite difference method on graded meshes for time-fractional diffusion equations. (English) Zbl 07446785
Loss assessment of a counter rotating open rotor using URANS/LES with phase-lagged assumption (draft). (English) Zbl 1521.76890
Surrogate modeling of elasto-plastic problems via long short-term memory neural networks and proper orthogonal decomposition. (English) Zbl 1502.74017
Robust nonlinear state estimation for a class of infinite-dimensional systems using reduced-order models. (English) Zbl 1472.93054
Parameter estimation in a PDE model for the spatial spread of cocoa black pod disease. (English) Zbl 1471.92338
Reduced order methods for parametrized non-linear and time dependent optimal flow control problems, towards applications in biomedical and environmental sciences. (English) Zbl 1478.49017
Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 841-850 (2021).
A reduced order model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements. (English) Zbl 1500.65063
Numerical simulation of the temperature field of the stadium building foundation in frozen areas based on the finite element method and proper orthogonal decomposition technique. (English) Zbl 1473.65316
Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model. (English) Zbl 1524.65566
Model reduction in chemical process optimization. (English) Zbl 1471.35281
Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1-31 (2021).
Model order reduction by proper orthogonal decomposition. (English) Zbl 1467.35021
Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 47-96 (2021).
Data-driven robust state estimation for reduced-order models of 2D Boussinesq equations with parametric uncertainties. (English) Zbl 1521.76318
A fast finite difference/RBF meshless approach for time fractional convection-diffusion equation with non-smooth solution. (English) Zbl 1464.65152
Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. (English) Zbl 1469.65156
Reviewer: Kanakadurga Sivakumar (Chennai)
A hybrid stabilization approach for reduced-order models of compressible flows with shock-vortex interaction. (English) Zbl 07843263
Non-linearly stable reduced-order models for incompressible flow with energy-conserving finite volume methods. (English) Zbl 1537.76093
Application of the second dimension reduction method in nonlinear rotor dynamic system. (English) Zbl 1479.70001
Lacarbonara, Walter (ed.) et al., Nonlinear dynamics of structures, systems and devices. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17–20, 2019. Volume I. Cham: Springer. 533-548 (2020).
MSC:
70-08
A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations. (English) Zbl 1506.76086
A hybrid reduced order method for modelling turbulent heat transfer problems. (English) Zbl 1502.65087
The POD-DEIM reduced-order method for stochastic Allen-Cahn equations with multiplicative noise. (English) Zbl 1538.65006
Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. (English) Zbl 1464.65081
A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation. (English) Zbl 1452.65145
Error analysis of the reduced RBF model based on POD method for time-fractional partial differential equations. (English) Zbl 1452.65273
A reduced-order energy-stability-preserving finite difference iterative scheme based on POD for the Allen-Cahn equation. (English) Zbl 1447.65028
Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism. (English) Zbl 1436.65093
Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method. (English) Zbl 1442.65287
A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows. (English) Zbl 1467.65098
Reviewer: Murli Gupta (Washington, D.C.)
Component-level proper orthogonal decomposition for flexible multibody systems. (English) Zbl 1442.70005
Acceleration of the spectral stochastic FEM using POD and element based discrete empirical approximation for a micromechanical model of heterogeneous materials with random geometry. (English) Zbl 1441.74270
Resolving high frequency issues via proper orthogonal decomposition based dynamic isogeometric analysis for structures with dissimilar materials. (English) Zbl 1441.74301
An HJB-POD approach for the control of nonlinear PDEs on a tree structure. (A HJB-POD approach for the control of nonlinear PDEs on a tree structure.) (English) Zbl 1437.49039
Projection-based reduced order models for flow problems: a variational multiscale approach. (English) Zbl 1436.76034
Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients. (English) Zbl 1439.35588
Reviewer: Igor Bock (Bratislava)
POD-DEIM model order reduction for the monodomain reaction-diffusion sub-model of the neuro-muscular system. (English) Zbl 1428.93027
Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 177-190 (2020).
Influence mechanism of the mean values on POD method. (Chinese. English summary) Zbl 1449.94029
MSC:
94A12
Nonlinear dynamic analysis of a complex dual rotor-bearing system based on a novel model reduction method. (English) Zbl 1481.70011
MSC:
70B15
Sparse feature map-based Markov models for nonlinear fluid flows. (English) Zbl 1519.76272
MSC:
76M35
Reduced collocation method for time-dependent parametrized partial differential equations. (English) Zbl 1442.65291
Unstable modes in projection-based reduced-order models: how many can there be, and what do they tell you? (English) Zbl 1408.93034
Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations. (English) Zbl 1407.65103
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