Isogeometric Bézier dual mortaring: the enriched Bézier dual basis with application to second- and fourth-order problems
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Publication:2309384
DOI10.1016/j.cma.2020.112900zbMath1436.65187OpenAlexW3008870423MaRDI QIDQ2309384
Z. Zou, Di Miao, Michael J. Borden, D. C. Thomas, Michael A. Scott
Publication date: 31 March 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2020.112900
biharmonic problemdual basis\(C^1\) continuitypatch couplingdual mortar methodenriched Bézier dual basis
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computer-aided design (modeling of curves and surfaces) (65D17)
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Uses Software
Cites Work
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- A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework
- Isogeometric boundary element analysis using unstructured T-splines
- High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods
- Isogeometric analysis of trimmed NURBS geometries
- Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis
- Isogeometric analysis using T-splines
- Isogeometric analysis using T-splines on two-patch geometries
- Parameterization of computational domain in isogeometric analysis: methods and comparison
- Isogeometric analysis for trimmed CAD surfaces
- Isogeometric shell analysis with Kirchhoff-Love elements
- The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches
- Isogeometric analysis based on extended Loop's subdivision
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Effective condition number of the Hermite finite element methods for biharmonic equations
- Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
- Algorithms for polynomials in Bernstein form
- The dual basis functions for the Bernstein polynomials
- Joining smooth patches around a vertex to form a \(C^ k\) surface
- A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
- Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces
- Isogeometric analysis with strong multipatch \(C^{1}\)-coupling
- Truncated hierarchical Catmull-Clark subdivision with local refinement
- Isogeometric Kirchhoff-Love shell formulations for general hyperelastic materials
- A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes
- Bézier projection: a unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis
- Isogeometric mortar methods
- Nitsche's method for a coupling of isogeometric thin shells and blended shell structures
- Spline approximation by quasiinterpolants
- Resolution of fourth-order problems by the mortar element method
- Biorthogonal splines for optimal weak patch-coupling in isogeometric analysis with applications to finite deformation elasticity
- A hybrid isogeometric approach on multi-patches with applications to Kirchhoff plates and eigenvalue problems
- Isogeometric analysis with geometrically continuous functions on two-patch geometries
- Multi-patch isogeometric analysis for Kirchhoff-Love shell elements
- Development of a new, more regular, mortar method for the coupling of NURBS subdomains within a NURBS patch: application to a non-intrusive local enrichment of NURBS patches
- Isogeometric analysis with geometrically continuous functions on planar multi-patch geometries
- Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations
- A reconstructed local \(\bar{B}\) formulation for isogeometric Kirchhoff-Love shells
- Isogeometric Bézier dual mortaring: refineable higher-order spline dual bases and weakly continuous geometry
- Bézier \(\bar{B}\) projection
- A comparative study of several classical, discrete differential and isogeometric methods for solving Poisson's equation on the disk
- Extended truncated hierarchical Catmull-Clark subdivision
- Subdivision surfaces
- Nitsche's method for two and three dimensional NURBS patch coupling
- Higher order dual Lagrange mutliplier spaces for mortar finite element discretizations
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- Domain Decomposition Methods and Kirchhoff-Love Shell Multipatch Coupling in Isogeometric Analysis
- Isogeometric finite element data structures based on Bézier extraction of NURBS
- An isogeometric approach to cohesive zone modeling
- Isogeometric finite element data structures based on Bézier extraction of T-splines
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM
- Biorthogonal bases with local support and approximation properties
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- On theL2 and theH1 couplings for an overlapping domain decomposition method using Lagrange multipliers
- Basics and some applications of the mortar element method
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
- Mathematical analysis of variational isogeometric methods
- The Mathematical Theory of Finite Element Methods
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
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