Projection-based reduced order models for a cut finite element method in parametrized domains
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Publication:2004559
DOI10.1016/j.camwa.2019.08.003zbMath1443.65348arXiv1901.03846OpenAlexW2969951128MaRDI QIDQ2004559
Francesco Ballarin, Gianluigi Rozza, Efthimios N. Karatzas
Publication date: 7 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.03846
free boundary problemsembedded methodsviscous flowsgeometrical parametrizationcut finite element methodreduced order methods
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Cites Work
- An immersed boundary method for rigid bodies
- A numerical investigation of velocity-pressure reduced order models for incompressible flows
- Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants
- On the stability and extension of reduced-order Galerkin models in incompressible flows. A numerical study of vortex shedding
- Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows
- Proper general decomposition (PGD) for the resolution of Navier-Stokes equations
- Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility
- A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
- Reduction of nonlinear embedded boundary models for problems with evolving interfaces
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- Enablers for robust POD models
- A fast immersed boundary method using a nullspace approach and multi-domain far-field boundary conditions
- Interior penalty variational multiscale method for the incompressible Navier-Stokes equation: monitoring artificial dissipation
- On the stability of the reduced basis method for Stokes equations in parametrized domains
- A reduced-order method for simulation and control of fluid flows
- Reduced-basis approximation of the viscous Burgers equation: Rigorous a posteriori error bounds.
- Stability properties of POD-Galerkin approximations for the compressible Navier-Stokes equations
- Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations
- A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier-Stokes equations
- An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes
- Immersed boundary smooth extension (IBSE): a high-order method for solving incompressible flows in arbitrary smooth domains
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Stability and accuracy of periodic flow solutions obtained by a POD-penalty method
- A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow
- 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
- Benchmarking the immersed finite element method for fluid-structure interaction problems
- Cut finite element methods for elliptic problems on multipatch parametric surfaces
- Reduced-order model for the BGK equation based on POD and optimal transport
- Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization
- A fast lattice Green's function method for solving viscous incompressible flows on unbounded domains
- The immersed boundary method: a projection approach
- An improvement on geometrical parameterizations by transfinite maps
- Stabilized explicit coupling for fluid-structure interaction using Nitsche's method
- An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction
- Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence
- Convolutional wasserstein distances
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations
- CutFEM: Discretizing geometry and partial differential equations
- Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem
- On the stability and convergence of a Galerkin reduced order model (ROM) of compressible flow with solid wall and far-field boundary treatment
- IMMERSED BOUNDARY METHODS
- Continuous Interior Penalty Finite Element Method for Oseen's Equations
- Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
- The Reduced Basis Method for Incompressible Viscous Flow Calculations
- Reduced-Order Semi-Implicit Schemes for Fluid-Structure Interaction Problems
- Efficient Reduction of PDEs Defined on Domains with Variable Shape
- The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena
- Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- Certified Reduced Basis Methods for Parametrized Saddle Point Problems
- A finite element method for crack growth without remeshing
- A Reduced Order Approach for the Embedded Shifted Boundary FEM and a Heat Exchange System on Parametrized Geometries
- Model Order Reduction for Problems with Large Convection Effects
- Iterative Bregman Projections for Regularized Transportation Problems
- A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
- Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
- Reduced Basis Methods for Partial Differential Equations
- Reduced basis methods for Stokes equations in domains with non-affine parameter dependence
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