A localized reduced basis approach for unfitted domain methods on parameterized geometries
From MaRDI portal
Publication:6048372
DOI10.1016/j.cma.2023.115997arXiv2212.11934OpenAlexW4360603419MaRDI QIDQ6048372
Annalisa Buffa, M. Chasapi, Pablo Antolin
Publication date: 14 September 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.11934
proper orthogonal decompositionreduced basis methodtrimmingisogeometric analysisdiscrete empirical interpolation methodimmersed method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric modeling, isogeometric analysis and the finite cell method
- An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
- 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
- Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains
- Reduction of nonlinear embedded boundary models for problems with evolving interfaces
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
- Studies of refinement and continuity in isogeometric structural analysis
- Certified reduced basis method for affinely parametric isogeometric analysis NURBS approximation
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- On the numerical integration of trimmed isogeometric elements
- Reduced basis isogeometric methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils
- Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration
- A reduced order model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements
- The aggregated unfitted finite element method for elliptic problems
- Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method
- A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow
- Isogeometric analysis on V-reps: first results
- The shifted boundary method for embedded domain computations. I: Poisson and Stokes problems
- The shifted boundary method for embedded domain computations. II: Linear advection-diffusion and incompressible Navier-Stokes equations
- Projection-based reduced order models for a cut finite element method in parametrized domains
- A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations
- Efficient CAD-integrated isogeometric analysis of trimmed solids
- Tensor train based isogeometric analysis for PDE approximation on parameter dependent geometries
- Robust numerical integration on curved polyhedra based on folded decompositions
- Embedded domain reduced basis models for the shallow water hyperbolic equations with the shifted boundary method
- A localized reduced-order modeling approach for PDEs with bifurcating solutions
- A new least squares stabilized Nitsche method for cut isogeometric analysis
- Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach
- Error-estimate-based adaptive integration for immersed isogeometric analysis
- Data-driven model order reduction for problems with parameter-dependent jump-discontinuities
- Coupling of non-conforming trimmed isogeometric Kirchhoff-Love shells via a projected super-penalty approach
- Isogeometric analysis-suitable trivariate NURBS models from standard B-Rep models
- Condition number analysis and preconditioning of the finite cell method
- 3D volumetric isotopological meshing for finite element and isogeometric based reduced order modeling
- Improved conditioning of isogeometric analysis matrices for trimmed geometries
- Efficient model reduction of parametrized systems by matrix discrete empirical interpolation
- The Runge phenomenon and spatially variable shape parameters in RBF interpolation
- A general multipurpose interpolation procedure: The magic points
- A hybrid reduced order method for modelling turbulent heat transfer problems
- Immersed boundary-conformal isogeometric method for linear elliptic problems
- Weighted Extended B-Spline Approximation of Dirichlet Problems
- A Posteriori Error Estimation for DEIM Reduced Nonlinear Dynamical Systems
- Parameter multi-domain ‘hp ’ empirical interpolation
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Nonlinear model order reduction based on local reduced-order bases
- CutFEM: Discretizing geometry and partial differential equations
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code
- IMMERSED BOUNDARY METHODS
- The immersed boundary method
- A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries
- Isogeometric Analysis of Solids in Boundary Representation
- Reduced Order Isogeometric Analysis Approach for PDEs in Parametrized Domains
- An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
- Locally Adaptive Greedy Approximations for Anisotropic Parameter Reduced Basis Spaces
- Anhpcertified reduced basis method for parametrized parabolic partial differential equations
- A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space
- Localized Discrete Empirical Interpolation Method
- The Immersed Interface Method
- Reduced Basis Methods for Partial Differential Equations
- Isogeometric analysis of 3D solids in boundary representation for problems in nonlinear solid mechanics and structural dynamics
