Practical unstructured splines: algorithms, multi-patch spline spaces, and some applications to numerical analysis
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Publication:2088347
DOI10.1016/j.jcp.2022.111625OpenAlexW4296182620MaRDI QIDQ2088347
Henri Calandra, Stefano Frambati, Julien Diaz, Hélène Barucq
Publication date: 21 October 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111625
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Approximations and expansions (41Axx)
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Cites Work
- Unnamed Item
- Conforming Delaunay triangulations in 3D
- Parameterization of computational domain in isogeometric analysis: methods and comparison
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation
- \(B\)-splines, hypergeometric functions, Dirichlet averages
- On the difficulty of triangulating three-dimensional nonconvex polyhedra
- A practical guide to splines
- Dirichlet splines as fractional integrals of \(B\)-splines
- On the constants in \(hp\)-finite element trace inverse inequalities.
- High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices
- Adaptive-mesh-refinement for hyperbolic systems of conservation laws based on a posteriori stabilized high order polynomial reconstructions
- An explicit expression for the penalty parameter of the interior penalty method
- Incremental topological flipping works for regular triangulations
- Polynomial-reproducing spline spaces from fine zonotopal tilings
- Bivariate B-splines from convex pseudo-circle configurations
- Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion
- On Galerkin difference methods
- On Polya frequency functions. IV: The fundamental spline functions and their limits
- Semi-implicit spectral deferred correction methods for ordinary differential equations
- Efficient DG-like formulation equipped with curved boundary edges for solving elasto-acoustic scattering problems
- How to Avoid Mass Matrix for Linear Hyperbolic Problems
- Topological sorting of large networks
- Delaunay configurations and multivariate splines: A generalization of a result of B. N. Delaunay
- Quadratic and cubic b-splines by generalizing higher-order voronoi diagrams
- Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes
- Primitives for the manipulation of general subdivisions and the computation of Voronoi
- The Evaluation of Inner Products of Multivariate Simplex Splines
- Isogeometric Analysis
- Performance of Discontinuous Galerkin Methods for Elliptic PDEs
- Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation
- Mesh generation for domains with small angles
- Absorbing boundary conditions and perfectly matched layers in wave propagation problems
- Discontinuous Galerkin Finite Element Method for the Wave Equation
