Practical unstructured splines: algorithms, multi-patch spline spaces, and some applications to numerical analysis
type: Item
instance of: scholarly article
title: Practical unstructured splines: algorithms, multi-patch spline spaces, and some applications to numerical analysis
author: Stefano Frambati
author: Henri Calandra
author: Hélène Barucq
author: Julien Diaz
published in: Journal of Computational Physics
publication date: 2022-10-21T00:00:00Z
Mathematics Subject Classification ID: 41Axx
Mathematics Subject Classification ID: 65Nxx
Mathematics Subject Classification ID: 65Dxx
zbMATH DE Number: 7605596
zbMATH Keywords: simplex splines
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: discontinuous Galerkin
zbMATH Keywords: multi-patch
MaRDI profile type: Publication
full work available at URL: j.jcp.2022.111625
OpenAlex ID: W4296182620
cites work: Efficient DG-like formulation equipped with curved boundary edges for solving elasto-acoustic scattering problems
cites work: Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Isogeometric Analysis
cites work: Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion
cites work: Parameterization of computational domain in isogeometric analysis: methods and comparison
cites work: Polynomial-reproducing spline spaces from fine zonotopal tilings
cites work: On Polya frequency functions. IV: The fundamental spline functions and their limits
cites work: A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation
cites work: \(B\)-splines, hypergeometric functions, Dirichlet averages
cites work: Dirichlet splines as fractional integrals of \(B\)-splines
cites work: Delaunay configurations and multivariate splines: A generalization of a result of B. N. Delaunay
cites work: Quadratic and cubic b-splines by generalizing higher-order voronoi diagrams
cites work: Primitives for the manipulation of general subdivisions and the computation of Voronoi
cites work: Incremental topological flipping works for regular triangulations
cites work: Bivariate B-splines from convex pseudo-circle configurations
cites work: A practical guide to splines
cites work: Topological sorting of large networks
cites work: On the difficulty of triangulating three-dimensional nonconvex polyhedra
cites work: Mesh generation for domains with small angles
cites work: Conforming Delaunay triangulations in 3D
cites work: Q4175520
cites work: Absorbing boundary conditions and perfectly matched layers in wave propagation problems
cites work: Discontinuous Galerkin Finite Element Method for the Wave Equation
cites work: Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation
cites work: Performance of Discontinuous Galerkin Methods for Elliptic PDEs
cites work: An explicit expression for the penalty parameter of the interior penalty method
cites work: On the constants in \(hp\)-finite element trace inverse inequalities.
cites work: On Galerkin difference methods
cites work: How to Avoid Mass Matrix for Linear Hyperbolic Problems
cites work: High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices
cites work: Semi-implicit spectral deferred correction methods for ordinary differential equations
cites work: The Evaluation of Inner Products of Multivariate Simplex Splines
cites work: Adaptive-mesh-refinement for hyperbolic systems of conservation laws based on a posteriori stabilized high order polynomial reconstructions
DOI: 10.1016/J.JCP.2022.111625
description: scientific article; zbMATH DE number 7605596