Immersed boundary-conformal isogeometric method for linear elliptic problems
From MaRDI portal
Publication:2667328
DOI10.1007/s00466-021-02074-6zbMath1479.74130arXiv2011.01622OpenAlexW3196188080WikidataQ113326633 ScholiaQ113326633MaRDI QIDQ2667328
Benjamin Marussig, Annalisa Buffa, Xiaodong Wei, Pablo Antolin
Publication date: 24 November 2021
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.01622
boundary layerisogeometric analysisstabilized methodadvection-diffusion problemBoolean operationboundary-conformal immersed methodfiber-reiforced composite
Numerical computation using splines (65D07) Composite and mixture properties (74E30) Diffusion and convection (76R99) Basic methods in fluid mechanics (76M99) Numerical methods for partial differential equations, boundary value problems (65N99) Isogeometric methods applied to problems in solid mechanics (74S22)
Related Items
Robust numerical integration on curved polyhedra based on folded decompositions ⋮ Analysis-aware defeaturing: Problem setting and a posteriori estimation ⋮ A localized reduced basis approach for unfitted domain methods on parameterized geometries ⋮ Image‐based isogeometric twins of lattices with virtual image correlation for varying cross‐section beams ⋮ Immersed isogeometric analysis based on a hybrid collocation/finite cell method ⋮ Stabilized isogeometric formulation of the Stokes problem on overlapping patches ⋮ A fully non-invasive hybrid IGA/FEM scheme for the analysis of localized non-linear phenomena
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis-suitable T-splines are dual-compatible
- 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
- Conformal solid T-spline construction from boundary T-spline representations
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- Subdivision-stabilised immersed b-spline finite elements for moving boundary flows
- THB-splines: The truncated basis for hierarchical splines
- Isogeometric analysis using LR B-splines
- Volumetric parameterization and trivariate B-spline fitting using harmonic functions
- Isogeometric analysis for trimmed CAD surfaces
- Elliptic grid generation techniques in the framework of isogeometric analysis applications
- Weak imposition of Dirichlet boundary conditions in fluid mechanics
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids
- An overview of offset curves and surfaces.
- An overset-grid method for 3D unsteady incompressible flows.
- Adaptive isogeometric methods with hierarchical splines: an overview
- Truncated hierarchical Catmull-Clark subdivision with local refinement
- On the numerical integration of trimmed isogeometric elements
- An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves
- Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format
- Local refinement for analysis-suitable++ T-splines
- Multimesh finite element methods: solving PDEs on multiple intersecting meshes
- Skeleton-stabilized immersogeometric analysis for incompressible viscous flow problems
- Isogeometric analysis on V-reps: first results
- Volumetric untrimming: precise decomposition of trimmed trivariates into tensor products
- Seamless integration of design and Kirchhoff-Love shell analysis using analysis-suitable unstructured T-splines
- Adaptive refinement with locally linearly independent LR B-splines: theory and applications
- Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements
- Condition number analysis and preconditioning of the finite cell method
- Stable isogeometric analysis of trimmed geometries
- Higher-order meshing of implicit geometries. II: Approximations on manifolds
- Improved conditioning of isogeometric analysis matrices for trimmed geometries
- Local enrichment of NURBS patches using a non-intrusive coupling strategy: geometric details, local refinement, inclusion, fracture
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence
- A hierarchical NXFEM for fictitious domain simulations
- Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements
- Nitsche's method for interface problems in computa-tional mechanics
- Isogeometric Analysis
- A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries
- Integer-grid maps for reliable quad meshing
- Shape Optimization Using the Finite Element Method on Multiple Meshes with Nitsche Coupling
- The Immersed Interface Method
- Analysis of a Multiscale Discontinuous Galerkin Method for Convection‐Diffusion Problems
- Overlapping Multipatch Isogeometric Method with Minimal Stabilization
- Modeling holes and inclusions by level sets in the extended finite element method
- A singularly perturbed model problem for numerical computation
