A numerical B-spline Galerkin method with proper generalized decomposition for reduced order modeling of partial differential equations
DOI10.1016/J.CNSNS.2024.108057zbMATH Open1545.65441MaRDI QIDQ6591774
Richen Li, Shengfeng Zhu, Qingbiao Wu
Publication date: 22 August 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Numerical computation using splines (65D07) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
- Title not available (Why is that?)
- Tensor Decompositions and Applications
- Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models
- Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- Isogeometric analysis and proper orthogonal decomposition for parabolic problems
- A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
- Proper general decomposition (PGD) for the resolution of Navier-Stokes equations
- Isogeometric analysis in electromagnetics: B-splines approximation
- Efficient quadrature for NURBS-based isogeometric analysis
- A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method
- SUPG reduced order models for convection-dominated convection-diffusion-reaction equations
- Isogeometric analysis for turbulent flow
- Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems
- Low rank tensor methods in Galerkin-based isogeometric analysis
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- POD and CVT-based reduced-order modeling of Navier-Stokes flows
- Isogeometric preconditioners based on fast solvers for the Sylvester equation
- Model reduction based on proper generalized decomposition for the stochastic steady incompressible Navier-Stokes equations
- X-FEM in isogeometric analysis for linear fracture mechanics
- Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation
- Isogeometric Analysis
- Reduced Basis Isogeometric Mortar Approximations for Eigenvalue Problems in Vibroacoustics
- Finite Element Methods with B-Splines
- Isogeometric discretizations of the Stokes problem: stability analysis by the macroelement technique
- Isogeometric Mortar Coupling for Electromagnetic Problems
- A Low-Rank Tensor Method for PDE-Constrained Optimization with Isogeometric Analysis
- The Cost of Continuity: Performance of Iterative Solvers on Isogeometric Finite Elements
- Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation
- Centroidal Voronoi Tessellation-Based Reduced-Order Modeling of Complex Systems
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
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