NURBS-SEM: a hybrid spectral element method on NURBS maps for the solution of elliptic PDEs on surfaces
From MaRDI portal
Publication:1986214
DOI10.1016/j.cma.2018.04.039zbMath1440.65253arXiv1804.08271OpenAlexW2798599836WikidataQ114196950 ScholiaQ114196950MaRDI QIDQ1986214
Publication date: 8 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.08271
Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error analysis of a B-spline based finite-element method for modeling wind-driven ocean circulation
- Isogeometric collocation for elastostatics and explicit dynamics
- A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis
- Isogeometric Reissner-Mindlin shell analysis with exactly calculated director vectors
- Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis
- Isogeometric shell analysis: the Reissner-Mindlin shell
- Efficient quadrature for NURBS-based isogeometric analysis
- Isogeometric shell analysis with Kirchhoff-Love elements
- Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems
- Nonsingular isogeometric boundary element method for Stokes flows in 3D
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Quadratic spline quasi-interpolants on Powell-Sabin partitions
- Isogeometric analysis of structural vibrations
- Treatment of Reissner-Mindlin shells with Kinks without the need for drilling rotation stabilization in an isogeometric framework
- Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis
- Isogeometric Kirchhoff-Love shell formulations for general hyperelastic materials
- Isogeometric collocation: Neumann boundary conditions and contact
- Isogeometric analysis for second order partial differential equations on surfaces
- An isogeometric collocation method using superconvergent points
- Spectral theory in Riemannian geometry
- On the existence of interpolating projections onto spline spaces
- PetIGA: a framework for high-performance isogeometric analysis
- Isogeometric analysis of geometric partial differential equations
- A natural framework for isogeometric fluid-structure interaction based on BEM-shell coupling
- Fast formation of isogeometric Galerkin matrices by weighted quadrature
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- Isogeometric analysis of high order partial differential equations on surfaces
- ISOGEOMETRIC COLLOCATION METHODS
- NURBS-enhanced finite element method (NEFEM)
- T‐spline finite element method for the analysis of shell structures
- High-Order Methods for Incompressible Fluid Flow
- Isogeometric Analysis
- Spectral Methods
- Spectral Methods
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
