Found 142 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
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
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
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
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
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).
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
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
A fast high order method for time fractional diffusion equation with non-smooth data. (English) Zbl 07461162
A global eigenvalue reassignment method for the stabilization of nonlinear reduced-order models. (English) Zbl 07863757
Non intrusive method for parametric model order reduction using a bi-calibrated interpolation on the Grassmann manifold. (English) Zbl 07510048
A low-dimensional compact finite difference method on graded meshes for time-fractional diffusion equations. (English) Zbl 07446785
Surrogate modeling of elasto-plastic problems via long short-term memory neural networks and proper orthogonal decomposition. (English) Zbl 1502.74017
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)
Non-linearly stable reduced-order models for incompressible flow with energy-conserving finite volume methods. (English) Zbl 1537.76093
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
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)
Reduced collocation method for time-dependent parametrized partial differential equations. (English) Zbl 1442.65291
Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations. (English) Zbl 1407.65103
Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification. (English) Zbl 1404.65112
Global and local POD models for the prediction of compressible flows with DG methods. (English) Zbl 07906193
A model-order reduction method based on wavelets and POD to solve nonlinear transient and steady-state continuation problems. (English) Zbl 1480.65310
Reduced-order based distributed feedback control of the Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 07121111
A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. (English) Zbl 1409.76095
A multilevel projection-based model order reduction framework for nonlinear dynamic multiscale problems in structural and solid mechanics. (English) Zbl 07867235
Evaluation of Galerkin and Petrov-Galerkin model reduction for finite element approximations of the shallow water equations. (English) Zbl 1439.76086
A parameterized non-intrusive reduced order model and error analysis for general time-dependent nonlinear partial differential equations and its applications. (English) Zbl 1439.65124
MSC:
65M60
Model order reduction of nonlinear eddy current problems using missing point estimation. (English) Zbl 1388.78021
Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer (ISBN 978-3-319-58785-1/hbk; 978-3-319-58786-8/ebook). MS&A. Modeling, Simulation and Applications 17, 439-454 (2017).
Efficient reduction of PDEs defined on domains with variable shape. (English) Zbl 1388.78020
Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer (ISBN 978-3-319-58785-1/hbk; 978-3-319-58786-8/ebook). MS&A. Modeling, Simulation and Applications 17, 183-199 (2017).
POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder. (English) Zbl 1383.35175
Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation. (English) Zbl 1380.65190
Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations. (English) Zbl 1422.65211
Model reduction for supersonic cavity flow using proper orthogonal decomposition (POD) and Galerkin projection. (English) Zbl 1365.76104
A semi-continuous formulation for goal-oriented reduced-order models: 1D problems. (English) Zbl 07868652
An hp-proper orthogonal decomposition-moving least squares approach for molecular dynamics simulation. (English) Zbl 1423.82026
An adaptive model order reduction with quasi-Newton method for nonlinear dynamical problems. (English) Zbl 1352.65184
MSC:
65L05
Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier-Stokes equations. (English) Zbl 1349.76171
Reduced-order finite element method based on POD for fractional Tricomi-type equation. (English) Zbl 1342.65194
POD-based model reduction for stabilized finite element approximations of shallow water flows. (English) Zbl 1381.76189
Non-intrusive reduced-order modelling of the Navier-Stokes equations based on RBF interpolation. (English) Zbl 1455.76099
Model order reduction and domain decomposition strategies for the solution of the dynamic elastic-plastic structural problem. (English) Zbl 1423.74874
SUPG reduced order models for convection-dominated convection-diffusion-reaction equations. (English) Zbl 1425.65111
Decreasing the temporal complexity for nonlinear, implicit reduced-order models by forecasting. (English) Zbl 1425.65073
MSC:
65L05
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