Keywords: روش متداول کاهش یافته است; Non-intrusive method; Reduced basis method; Parametric studies; Heat transfer; CFD;
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Keywords: روش متداول کاهش یافته است; Reduced basis method; Finite element method; Parametric studies; Elastoplasticity; Soils;
Keywords: روش متداول کاهش یافته است; Reduced basis method; Nonlinear structural analysis; Proper orthogonal decomposition; Gaussian process regression; Machine learning;
Keywords: روش متداول کاهش یافته است; Cardiac electrophysiology; Parametrized monodomain model; Local reduced order model; Reduced basis method; Proper orthogonal decomposition; Empirical interpolation method;
Keywords: روش متداول کاهش یافته است; Partial differential equations; Reduced basis method; Port training; Components; Finite element method; Contact analysis; Plasticity;
Keywords: روش متداول کاهش یافته است; Stochastic optimal control problem; Reduced basis method; Generalized multiscale finite element method; Local-global model reduction;
Keywords: روش متداول کاهش یافته است; Reduced basis method; Parametrized Navier-Stokes equations; Stability of flows; Symmetry breaking bifurcation;
Keywords: روش متداول کاهش یافته است; Reduced Basis method; Proper Orthogonal Decomposition; Parametrized multi-physics; Single-channel analysis; Lead Fast Reactor;
Keywords: روش متداول کاهش یافته است; Reduced basis method; Inf–Sup condition; Successive constraint method; Linear programming; Domain decomposition
Keywords: روش متداول کاهش یافته است; Reduced basis method; Wind field adjustment; Optimal control; A posteriori error estimates;
Keywords: روش متداول کاهش یافته است; Reduced basis method; Domain decomposition; Parametrized PDEs; Parametrized domains and networks
Keywords: روش متداول کاهش یافته است; Gaussian functional regression; Multi-fidelity models; Reduced basis method; Model reduction; Experimental design;
Keywords: روش متداول کاهش یافته است; Data mining; Lossy compression; Reduced basis method; Singular value decomposition; Greedy algorithm
Keywords: روش متداول کاهش یافته است; Reduced basis method; Optimal flow control; Saddle-point problems; PDE-constrained optimization; A posteriori error estimates
Keywords: روش متداول کاهش یافته است; Uncertainty quantification; Curse of dimensionality; Generalized sparse grid; Hierarchical surpluses; Reduced basis method; Adaptive greedy algorithm; Weighted a posteriori error bound;
Keywords: روش متداول کاهش یافته است; Model reduction; Variance reduction; Reduced basis method; A posteriori error estimation; Hybridizable discontinuous Galerkin method; Multilevel Monte Carlo method; Stochastic elliptic PDEs;
Keywords: روش متداول کاهش یافته است; Reduced basis method; Model reduction; Domain decomposition; Iterative methods; Dirichlet–Neumann coupling
Dual Dynamically Orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions
Keywords: روش متداول کاهش یافته است; Uncertainty quantification; Dynamical low rank approximation; Dynamically orthogonal approximation; Reduced basis method; Time dependent Navier Stokes; Random boundary conditions;
A stabilized POD model for turbulent flows over a range of Reynolds numbers: Optimal parameter sampling and constrained projection
Keywords: روش متداول کاهش یافته است; Model order reduction; Reduced basis method; CFD; Proper orthogonal decomposition; A posteriori error estimation;
Accelerating optimization and uncertainty quantification of nonlinear SMB chromatography using reduced-order models
Keywords: روش متداول کاهش یافته است; Reduced basis method; Empirical interpolation; Error estimation; Simulated moving bed chromatography; Optimization; Uncertainty quantification;
Reduced order homogenization for viscoplastic composite materials including dissipative imperfect interfaces
Keywords: روش متداول کاهش یافته است; Nonlinear homogenization; Reduced order model; Reduced basis method; Imperfect interface; Viscoplasticity; Viscoelasticity;
A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics
Keywords: روش متداول کاهش یافته است; Reduced basis method; Discrete empirical interpolation; Nonlinear mechanics; Cardiac mechanics; A posteriori error estimation;
POD-Galerkin reduced-order modeling with adaptive finite element snapshots
Keywords: روش متداول کاهش یافته است; Proper orthogonal decomposition; Adaptive finite elements; Model order reduction; Reduced basis method;
On greedy algorithm approximating Kolmogorov widths in Banach spaces
Keywords: روش متداول کاهش یافته است; Non-linear approximation; Greedy algorithm; Reduced basis method; Kolmogorov widths
Reduced Basis Isogeometric Methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils
Keywords: روش متداول کاهش یافته است; Isogeometric analysis; Reduced order models; Reduced basis method; Proper orthogonal decomposition; Boundary element method; Computational fluid dynamics
Adaptive reduced basis finite element heterogeneous multiscale method
Keywords: روش متداول کاهش یافته است; Numerical homogenization; Reduced basis method; Residual based adaptive FEM; Quantity of interest; Heterogeneous multiscale method
Accurate and efficient evaluation of failure probability for partial different equations with random input data
Keywords: روش متداول کاهش یافته است; Failure probability evaluation; Model order reduction; Reduced basis method; Goal-oriented adaptation; Partial differential equations; Random input data
Certified reduced basis model validation: A frequentistic uncertainty framework
Keywords: روش متداول کاهش یافته است; Validation; Uncertainty quantification; Hypothesis testing; Partial differential equation; Reduced basis method; A posteriori error bound
A fast Monte–Carlo method with a reduced basis of control variates applied to uncertainty propagation and Bayesian estimation
Keywords: روش متداول کاهش یافته است; Monte-Carlo method; Variance reduction; Reduced basis method; Partial Differential Equations with stochastic coefficients; Uncertainty Quantification; Bayes MMSE estimation
Certified reduced basis method for electromagnetic scattering and radar cross section estimation
Keywords: روش متداول کاهش یافته است; Reduced basis method; Electromagnetic scattering; Radar cross section; Empirical interpolation method
Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems
Keywords: روش متداول کاهش یافته است; Heterogeneous multiscale method; Reduced basis method; High order finite element method; Homogenization problems;
High-fidelity real-time simulation on deployed platforms
Keywords: روش متداول کاهش یافته است; Reduced basis method; a posteriori error bounds; Parametrized partial differential equations; High-performance computing; Deployed platforms; Real-time computing
A high-performance parallel implementation of the certified reduced basis method
Keywords: روش متداول کاهش یافته است; Reduced basis method; A posteriori error bounds; Finite element methods; High-performance computing; Boussinesq equation; Sensitivity derivatives
The reduced basis method for the electric field integral equation
Keywords: روش متداول کاهش یافته است; Reduced basis method; Scattering problems; RCS-computations; Boundary Element Method
Calibration of options on a reduced basis
Keywords: روش متداول کاهش یافته است; Mathematical finance; Reduced basis method; Option pricing; Proper Orhogonal decomposition
A reduced basis approach for variational problems with stochastic parameters: Application to heat conduction with variable Robin coefficient
Keywords: روش متداول کاهش یافته است; Stochastic parameterized partial differential equations; Karhunen–Loève; Monte Carlo; Reduced basis method; A posteriori error estimation
Reduced basis method for multi-parameter-dependent steady Navier–Stokes equations: Applications to natural convection in a cavity
Keywords: روش متداول کاهش یافته است; Reduced basis method; A posteriori error estimation; Brezzi–Rappaz–Raviart theory; Inf–sup constant; Steady incompressible Navier–Stokes equations; Natural convection; Prandtl number; Grashof number
Reduced basis method for linear elasticity problems with many parameters
Keywords: روش متداول کاهش یافته است; Reduced basis method; Galerkin approximation; Finite element method; Parametrized partial differential equations; Linear elasticity; Plane stress and plane strain approximation; Isotropic and orthotropic material; Optimization