Concept
Spline (mathematics)
Related publications (233)
FENNECS: a novel particle-in-cell code for simulating the formation of magnetized non-neutral plasmas trapped by electrodes of complex geometries
Stefano Alberti, Jean-Philippe Hogge, Joaquim Loizu Cisquella, Jérémy Genoud, Francesco Romano
This paper presents the new 2D electrostatic particle-in-cell code FENNECS de- veloped to study the formation of magnetized non-neutral plasmas in geometries with azimuthal symmetry. This code has been developed in the domain of gy- rotron electron gun des ...
2024Region Extraction in Mesh Intersection
Annalisa Buffa, Pablo Antolin Sanchez, Emiliano Cirillo
Region extraction is a very common task in both Computer Science and Engineering with several applications in object recognition and motion analysis, among others. Most of the literature focuses on regions delimited by straight lines, often in the special ...
2023Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems
We present outlier-free isogeometric Galerkin discretizations of eigenvalue problems related to the biharmonic and the polyharmonic operator in the univariate setting. These are Galerkin discretizations in certain spline subspaces that provide accurate app ...
Lausanne2023Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains
Isogeometric analysis is a powerful paradigm which exploits the high smoothness of splines for the numerical solution of high order partial differential equations. However, the tensor-product structure of standard multivariate B-spline models is not well s ...
WORLD SCIENTIFIC PUBL CO PTE LTD2023Comparison of Three Imputation Methods for Groundwater Level Timeseries
This study compares three imputation methods applied to the field observations of hydraulic head in subsurface hydrology. Hydrogeological studies that analyze the timeseries of groundwater elevations often face issues with missing data that may mislead bot ...
MDPI2023High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations
Bernard Kapidani, Rafael Vazquez Hernandez
We introduce a high-order spline geometric approach for the initial boundary value problem for Maxwell's equations. The method is geometric in the sense that it discretizes in structure preserving fashion the two de Rham sequences of differential forms inv ...
2023Polaron hopping through piecewise-linear functionals
Alfredo Pasquarello, Stefano Falletta
We use piecewise-linear functionals to study the polaron energy landscape and hopping rates in beta-Ga2O3, which we adopt as an example of an anisotropic material hosting multiple polaronic states. We illustrate various functionals for polaron localization ...
AMER PHYSICAL SOC2023Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations
We show that isogeometric Galerkin discretizations of eigenvalue problems related to the Laplace operator subject to any standard type of homogeneous boundary conditions have no outliers in certain optimal spline subspaces. Roughly speaking, these optimal ...
ELSEVIER SCIENCE SA2022TCB-spline-based isogeometric analysis method with high-quality parameterizations
Isogeometric analysis (IGA) was introduced to integrate methods for analysis and computer-aided design (CAD) into a unified process. High-quality parameterization of a physical domain plays a crucial role in IGA. However, obtaining high-quality parameteriz ...
ELSEVIER SCIENCE SA2022Hubbard U through polaronic defect states
Alfredo Pasquarello, Stefano Falletta
Since the preliminary work of Anisimov and co-workers, the Hubbard corrected DFT+U functional has been used for predicting properties of correlated materials by applying on-site effective Coulomb interactions to specific orbitals. However, the determinatio ...
NATURE PORTFOLIO2022