A parsimonious approach to $C^2$ cubic splines on arbitrary triangulations: Reduced macro-elements on the cubic Wang-Shi split
Fuente:
arXiv
Saved in:
| Main Authors: | Lyche, Tom, Manni, Carla, Speleers, Hendrik |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Isogeometric analysis with $C^1$ cubic Powell-Sabin splines
by: Grošelj, Jan, et al.
Published: (2026)
by: Grošelj, Jan, et al.
Published: (2026)
Quadrature rules for splines of high smoothness on uniformly refined triangles
by: Eddargani, Salah, et al.
Published: (2024)
by: Eddargani, Salah, et al.
Published: (2024)
On the normalization of trigonometric and hyperbolic B-splines
by: Speleers, Hendrik
Published: (2025)
by: Speleers, Hendrik
Published: (2025)
A representation and comparison of three cubic macro-elements
by: Češek, Ema, et al.
Published: (2026)
by: Češek, Ema, et al.
Published: (2026)
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions
by: Lamsahel, Noureddine, et al.
Published: (2025)
by: Lamsahel, Noureddine, et al.
Published: (2025)
Using Geometric Symmetries to Achieve Super-Smoothness for Cubic Powell-Sabin Splines
by: Grošelj, Jan, et al.
Published: (2024)
by: Grošelj, Jan, et al.
Published: (2024)
Construction of 2D explicit cubic quasi-interpolating splines in Bernstein-Bézier form
by: Barrera, Domingo, et al.
Published: (2024)
by: Barrera, Domingo, et al.
Published: (2024)
Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries
by: Carlo Garoni, et al.
Published: (2025)
by: Carlo Garoni, et al.
Published: (2025)
A note on some bounds between cubic spline interpolants depending on the boundary conditions: Application to a monotonicity property
by: Baeza, Antonio, et al.
Published: (2024)
by: Baeza, Antonio, et al.
Published: (2024)
Finite element spaces by Whitney k-forms on cubical meshes
by: Zhang, Shuo
Published: (2024)
by: Zhang, Shuo
Published: (2024)
A new quadratic and cubic polynomial enrichment of the Crouzeix-Raviart finite element
by: Dell'Accio, Francesco, et al.
Published: (2024)
by: Dell'Accio, Francesco, et al.
Published: (2024)
A Construction of $C^{r}$ Conforming Finite Elements on the Alfeld Split in Any Dimension
by: Lin, Ting, et al.
Published: (2026)
by: Lin, Ting, et al.
Published: (2026)
Strong convergence rates of Galerkin finite element methods for SWEs with cubic polynomial nonlinearity
by: Qi, Ruisheng, et al.
Published: (2024)
by: Qi, Ruisheng, et al.
Published: (2024)
Local cubic spline interpolation for Vlasov-type equations on a multi-patch geometry
by: Vidal, Pauline, et al.
Published: (2025)
by: Vidal, Pauline, et al.
Published: (2025)
Efficient symplectic integrators for cubic and quartic potentials
by: Escorihuela-Tomàs, Alejandro
Published: (2026)
by: Escorihuela-Tomàs, Alejandro
Published: (2026)
Attention is a smoothed cubic spline
by: Lai, Zehua, et al.
Published: (2024)
by: Lai, Zehua, et al.
Published: (2024)
Novel $H^\mathrm{dev}(\mathrm{Curl})$-conforming elements on regular triangulations and Clough--Tocher splits for the planar relaxed micromorphic model
by: Sky, Adam, et al.
Published: (2024)
by: Sky, Adam, et al.
Published: (2024)
Discrete tensor product BGG sequences: splines and finite elements
by: Bonizzoni, Francesca, et al.
Published: (2023)
by: Bonizzoni, Francesca, et al.
Published: (2023)
Virtual element methods based on boundary triangulation:fitted and unfitted meshes
by: Guo, Ruchi
Published: (2024)
by: Guo, Ruchi
Published: (2024)
Regularized methods via cubic model subspace minimization for nonconvex optimization
by: Bellavia, Stefania, et al.
Published: (2023)
by: Bellavia, Stefania, et al.
Published: (2023)
Basis construction for polynomial spline spaces over arbitrary T-meshes
by: Zhong, Shicong, et al.
Published: (2025)
by: Zhong, Shicong, et al.
Published: (2025)
Convergent finite elements on arbitrary meshes, the WG method
by: Zhang, Ran, et al.
Published: (2024)
by: Zhang, Ran, et al.
Published: (2024)
High-order integration on regular triangulated manifolds reaches super-algebraic approximation rates through cubical re-parameterizations
by: Zavalani, Gentian, et al.
Published: (2023)
by: Zavalani, Gentian, et al.
Published: (2023)
Forms of representation of interpolation trigonometric splines
by: Denysiuk, Volodymyr, et al.
Published: (2024)
by: Denysiuk, Volodymyr, et al.
Published: (2024)
Polynomial preserving recovery for PHT-splines
by: Cai, Ying, et al.
Published: (2025)
by: Cai, Ying, et al.
Published: (2025)
Second-order methods for quartically-regularised cubic polynomials, with applications to high-order tensor methods
by: Cartis, Coralia, et al.
Published: (2023)
by: Cartis, Coralia, et al.
Published: (2023)
Mesh-free mixed finite element approximation for nonlinear time-fractional biharmonic problem using weighted b-splines
by: Mandaliya, Jitesh P., et al.
Published: (2024)
by: Mandaliya, Jitesh P., et al.
Published: (2024)
Curve and surface construction with moving B-splines
by: Yang, Xunnian
Published: (2023)
by: Yang, Xunnian
Published: (2023)
Finite Fourier series. The class of trigonometric splines
by: Denysiuk, Volodymyr, et al.
Published: (2025)
by: Denysiuk, Volodymyr, et al.
Published: (2025)
Micro-macro and macro-macro limits for controlled leader-follower systems
by: Albi, Giacomo, et al.
Published: (2025)
by: Albi, Giacomo, et al.
Published: (2025)
A time-space B-spline integrator for the Burgers' equation
by: Dag, Idris, et al.
Published: (2025)
by: Dag, Idris, et al.
Published: (2025)
Comparison of two numerical methods for Riemannian cubic polynomials on Stiefel manifolds
by: Simoes, Alexandre Anahory, et al.
Published: (2024)
by: Simoes, Alexandre Anahory, et al.
Published: (2024)
Adaptive finite elements for obstacle problems
by: Gustafsson, Tom
Published: (2024)
by: Gustafsson, Tom
Published: (2024)
The cubic nonlinear Schrödinger equation with rough potential
by: Mauser, Norbert J., et al.
Published: (2024)
by: Mauser, Norbert J., et al.
Published: (2024)
Error estimates of the cubic interpolated pseudo-particle scheme for one-dimensional advection equations
by: Kashiwabara, Takahito, et al.
Published: (2024)
by: Kashiwabara, Takahito, et al.
Published: (2024)
Numerical integration rules based on B-spline bases
by: Yáñez, Dionisio F.
Published: (2024)
by: Yáñez, Dionisio F.
Published: (2024)
Tree-cotree gauging for two-dimensional hierarchical splines
by: Merkel, Melina, et al.
Published: (2025)
by: Merkel, Melina, et al.
Published: (2025)
Splitting-strategies for arbitrary-order fully mixed finite element discretizations of the Biot equations
by: Bertrand, Fleurianne, et al.
Published: (2026)
by: Bertrand, Fleurianne, et al.
Published: (2026)
High-order geometric integrators for the local cubic variational Gaussian wavepacket dynamics
by: Fereidani, Roya Moghaddasi, et al.
Published: (2023)
by: Fereidani, Roya Moghaddasi, et al.
Published: (2023)
Moments of Dirichlet splines and their applications to hypergeometric functions
by: Neuman, Edward, et al.
Published: (1993)
by: Neuman, Edward, et al.
Published: (1993)
Similar Items
-
Isogeometric analysis with $C^1$ cubic Powell-Sabin splines
by: Grošelj, Jan, et al.
Published: (2026) -
Quadrature rules for splines of high smoothness on uniformly refined triangles
by: Eddargani, Salah, et al.
Published: (2024) -
On the normalization of trigonometric and hyperbolic B-splines
by: Speleers, Hendrik
Published: (2025) -
A representation and comparison of three cubic macro-elements
by: Češek, Ema, et al.
Published: (2026) -
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions
by: Lamsahel, Noureddine, et al.
Published: (2025)