10 papers
Data-dependent Compact Multinode Shepard Method
Francesco Dell'Accio, Filomena Di Tommaso, Francesco Larosa +2
We introduce a data-dependent compact multinode Shepard method for the approximation of scattered multivariate data. The proposed approach extends the compact multinode Shepard ope…
Adaptive Non-Linear Partition of Unity Methods for Scattered Data Interpolation with Discontinuities
Adeeba Haider, Roberto Cavoretto, Juan Ruiz-Álvarez +1
Scattered data approximation with discontinuities is challenging due to the Gibbs phenomenon, which significantly reduces accuracy near interfaces. The recently introduced Non-Line…
Data dependent Shepard approximation through and adaptive modification of the shape parameter
José Kuruc, Juan Ruiz-Álvarez, Bo Wang +1
In this article, we introduce a novel data-dependent Shepard interpolation method inspired by the adaptive strategies proposed in [2]. In this case, as Shepard interpolation does n…
Data-dependent approximation through RBF
José Kuruc, David Levin, Pep Mulet +2
In this article we present a modification of classical Radial Basis Function (RBF) interpolation techniques aimed at reducing oscillations near discontinuities in one and two dimen…
A Cell-Average Non-Separable Progressive Multivariate WENO Method for Image Processing Applications
Inmaculada Garcés, Pep Mulet, Juan Ruiz-Álvarez +2
Accurate and efficient reconstruction techniques are essential in multiresolution analysis and image compression, particularly when the data are represented as cell averages. In th…
Implicit-explicit all-speed schemes for compressible Cahn-Hilliard-Navier-Stokes equations
Andreu Martorell, Pep Mulet, Dionisio F. Yáñez
We propose a second-order implicit-explicit (IMEX) time-stepping scheme for the isentropic, compressible Cahn-Hilliard-Navier-Stokes equations in the low Mach number regime. The me…
Implicit-explicit schemes for compressible Cahn-Hilliard-Navier-Stokes equations on staggered grids
Andreu Martorell, Pep Mulet, Dionisio F. Yáñez
We propose a second-order implicit-explicit (IMEX) time-stepping scheme for the isentropic, compressible Cahn-Hilliard-Navier-Stokes equations discretized on staggered (MAC) grids.…
Weighted least squares subdivision schemes for noisy data on triangular meshes
Costanza Conti, Sergio López-Ureña, Dionisio F. Yáñez
This paper presents and analyses a new family of linear subdivision schemes to refine noisy data given on triangular meshes. The subdivision rules consist of locally fitting and ev…
Integrating Moving Least Squares with non-linear WENO method: A novel Partition of Unity approach in 1D
Inmaculada Garcés, José M. Ramón, Juan Ruiz-Álvarez +1
The approximation of data is a fundamental challenge encountered in various fields, including computer-aided geometric design, the numerical solution of partial differential equati…
Non-linear Partition of Unity method
José Manuel Ramón, Juan Ruiz-Alvarez, Dionisio F. Yáñez
This paper introduces the Non-linear Partition of Unity Method, a novel technique integrating Radial Basis Function interpolation and Weighted Essentially Non-Oscillatory algorithm…