Results 11 to 20 of about 1,276 (137)

Analysis of New RBF-FD Weights, Calculated Based on Inverse Quadratic Functions

Journal of Mathematics, 2022
Local radial basis functions (RBFs) have many advantages for solution of differential equations. In some of these radial functions, there is a parameter that has a special effect on the accuracy of the answer and is known as the shape parameter.
Asghar Rahimi, C.A.Elyas Shivanian, Saeid Abbasbandy   +2 more
doaj   +1 more source

Coupled strain and temperature gradient analysis in curved surfaces

Proceedings in Applied Mathematics and Mechanics, Volume 23, Issue 3, November 2023., 2023
Abstract A common method in experimental mechanics is 3D digital image correlation (DIC) for determining deformations of curved surfaces, whereby the motion of material points is measured. The temperatures induced by the deformation of surfaces or by other heat sources are of particular interest as well.
Lutz Müller‐Lohse, Jendrik‐Alexander Tröger, Stefan Hartmann   +2 more
wiley   +1 more source

Application of an RBF blending interpolation method to problems with shocks

Computer Assisted Methods in Engineering and Science, 2017
Radial basis functions (RBF) have become an area of research in recent years, especially in the use of solving partial differential equations (PDE). Radial basis functions have an impressive capability in interpolating scattered data, even for data with
Michael Harris, Alain Kassab, Eduardo Divo   +2 more
doaj   +1 more source

Remeshing and data transfer in the finite cell method for problems with large deformations

Proceedings in Applied Mathematics and Mechanics, Volume 23, Issue 3, November 2023., 2023
Abstract The simulation of complex structures using standard finite element discretization techniques can be challenging because the creation of the boundary conforming meshes for such structures can be time‐consuming. Therefore, fictitious domain methods are attractive alternatives because the underlying mesh does not have to conform to the boundary ...
Roman Sartorti, Alexander Düster
wiley   +1 more source

Moving-boundary problems solved by adaptive radial basis functions [PDF]

, 2010
The objective of this paper is to present an alternative approach to the conventional level set methods for solving two-dimensional moving-boundary problems known as the passive transport. Moving boundaries are associated with time-dependent problems and
Atluri, Cecil, Crank, E.J. Kansa, F. Runovc, Fasshauer, Fornberg, G. Turk, Gang, Greenberg, Hardy, Hill, Javierre, Kansa, Kansa, Kansa, Kwok, L. Ling, L. Vrankar, Lee, Libre, Ling, Ling, Ling, Ling, Ling, Ling, Liu, Mai-Cao, Mai-Duy, Osher, Osher, Salih, Sethian, Tsai, Vrankar, Vrankar, Wang, Wang, Wang, Wang, Wendland, Šarler   +42 more
core   +2 more sources

Estimating follow‐up CTs from geometric deformations of catheter implants in interstitial breast brachytherapy: A feasibility study using electromagnetic tracking

Medical Physics, Volume 50, Issue 9, Page 5793-5805, September 2023., 2023
Abstract Background Electromagnetic tracking (EMT) systems have been shown to provide valuable information on the geometry of catheter implants in breast cancer patients undergoing interstitial brachytherapy (iBT). In the context of an extended patient‐specific, pre‐treatment verification, EMT can play a key role in determining the potential need and ...
Christopher Dürrbeck, Moritz Schulz, Leonie Pflaum, Karoline Kallis, Tobias Geimer, Nadin Abu‐Hossin, Vratislav Strnad, Andreas Maier, Rainer Fietkau, Christoph Bert   +9 more
wiley   +1 more source

Local RBF approximation for scattered data fitting with bivariate splines [PDF]

, 2005
In this paper we continue our earlier research [4] aimed at developing effcient methods of local approximation suitable for the first stage of a spline based two-stage scattered data fitting algorithm.
A. Björck, A. Iske, H. Wendland, J.R. McMahon, K. Jetter, L.L. Schumaker, M.S. Floater, O. Davydov, R. Schaback, R. Schaback   +9 more
core   +2 more sources

Local Method of Approximate Particular Solutions for Two-Dimensional Unsteady Incompressible Flow

Communications, 2016
A meshless local method of approximated particular solutions (LMAPS) is used to analyze incompressible fluid flow in a two dimensionalcavity. The method solves the incompressible Navier-Stokes equations in terms of theprimitive variables using the ...
Juraj Muzik, Ladislav Kais, Roman Bulko
doaj   +1 more source

Adaptive Interpolation by Scaled Multiquadrics

Advances in Computational Mathematics, 2002
Given a univariate data sample, the authors present an adaptative method to select a subsample in such a way that shape preserving information is extracted, that is to say, that the interpolating function constructed by the subsample reproduces the signal with a good graphical accuracy.
Bozzini, M., Lenarduzzi, L., Schaback, Robert   +2 more
openaire   +4 more sources

Kernel-based Image Reconstruction from Scattered Radon Data [PDF]

, 2016
Computerized tomography requires suitable numerical methods for the approximation of a bivariate function f from a finite set of discrete Radon data, each of whose data samples represents one line integral of f .
DE MARCHI, Stefano, Iske, Armin, Sironi, Amos   +2 more
core   +1 more source