Adaptive numerical modeling using the hierarchical Fup basis functions and control volume isogeometric analysis
Sign Up to like & getrecommendations! Published in 2020 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4830
Abstract: A novel adaptive algorithm that is based on new hierarchical Fup (HF) basis functions and a control volume formulation is presented. Because of its similarity to the concept of isogeometric analysis (IGA), we refer to… read more here.
Keywords: order; basis; control volume; isogeometric analysis ... See more keywords
Consistent and stable meshfree Galerkin methods using the virtual element decomposition
Sign Up to like & getrecommendations! Published in 2017 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.5519
Abstract: Summary Over the past two decades, meshfree methods have undergone significant development as a numerical tool to solve partial differential equations (PDEs). In contrast to finite elements, the basis functions in meshfree methods are smooth… read more here.
Keywords: meshfree methods; basis functions; meshfree galerkin; galerkin methods ... See more keywords
Sedimentation calculations within an Eulerian framework using series of basis functions
Sign Up to like & getrecommendations! Published in 2021 at "Quarterly Journal of the Royal Meteorological Society"
DOI: 10.1002/qj.4009
Abstract: A gravitational sedimentation parametrization is presented, which sets the dynamic framework for the parametrization philosophy of linear combination of basis functions. The entire drop spectrum is represented as a linear combination of log‐normal distributions as… read more here.
Keywords: framework; linear combination; sedimentation; basis functions ... See more keywords
A Unifying Method to Construct Rational Basis Functions for Linear and Nonlinear Systems
Sign Up to like & getrecommendations! Published in 2018 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-017-0683-6
Abstract: This paper proposes a general and unifying method for constructing rational basis functions (RBFs). The proposal is specifically designed for finding characterizing matrices of linear RBF state equations. Analytic expressions for the realization of such… read more here.
Keywords: basis functions; linear nonlinear; method construct; rational basis ... See more keywords
Atomic basis functions for molecular electronic structure calculations
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DOI: 10.1007/s00214-019-2432-3
Abstract: Electronic structure methods for accurate calculation of molecular properties have a high cost that grows steeply with the problem size; therefore, it is helpful to have the underlying atomic basis functions that are less in… read more here.
Keywords: basis functions; functions molecular; electronic structure; basis ... See more keywords
Upwind skewed radial basis functions (USRBF) for solution of highly convective problems over meshfree nodes
Sign Up to like & getrecommendations! Published in 2019 at "Engineering with Computers"
DOI: 10.1007/s00366-019-00873-3
Abstract: An upwind skewed radial basis function (USRBF)-based solution scheme is presented for stabilized solutions of convection-dominated problems over meshfree nodes. The conventional, radially symmetric radial basis functions (RBFs) are multiplied with an upwinding factor which… read more here.
Keywords: radial basis; basis functions; meshfree nodes; basis ... See more keywords
Application of radial basis functions in solving fuzzy integral equations
Sign Up to like & getrecommendations! Published in 2018 at "Neural Computing and Applications"
DOI: 10.1007/s00521-018-3459-4
Abstract: Abstract In the present paper, a numerical method based on radial basis functions (RBFs) is proposed to approximate the solution of fuzzy integral equations. By applying RBF in fuzzy integral equation, a linear system $$\Psi… read more here.
Keywords: radial basis; basis functions; application radial; fuzzy integral ... See more keywords
Adaptive generalized multiscale approximation of a mixed finite element method with velocity elimination
Sign Up to like & getrecommendations! Published in 2021 at "Computational Geosciences"
DOI: 10.1007/s10596-021-10068-9
Abstract: In this paper, we propose offline and online adaptive enrichment algorithms for the generalized multiscale approximation of a mixed finite element method with velocity elimination to solve the subsurface flow problem in high-contrast and heterogeneous… read more here.
Keywords: basis functions; space; velocity; method ... See more keywords
The self-excited vibrations of an axially retracting cantilever beam using the Galerkin method with fitted polynomial basis functions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mechanical Science and Technology"
DOI: 10.1007/s12206-017-1204-z
Abstract: In the present study, the self-excited vibrations of an axially retracting beam under gravity is investigated. A GFB method is presented to discretize the system energy functions, in which the orthogonality relationships between the basis… read more here.
Keywords: basis functions; self excited; excited vibrations; method ... See more keywords
Spectral Analysis on Burgers’ Equation and Its Solutions Using Three Different Basis Functions
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DOI: 10.1007/s40819-018-0525-7
Abstract: In this study, Spectral Collocation method with three different basis functions are used to analyse the famous Burgers’ equation. It is the simplest nonlinear model which represents diffusive waves in fluid dynamics and is a… read more here.
Keywords: basis functions; analysis; burgers equation; different basis ... See more keywords
Numerical approximations for the Riesz space fractional advection-dispersion equations via radial basis functions
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.05.011
Abstract: Abstract The radial basis functions collocation method is developed to solve Riesz space fractional advection-dispersion equation (RSFADE). To do this, we first provide the Riemann-Liouville fractional derivatives of the five kinds of RBFs, including the… read more here.
Keywords: basis functions; fractional advection; space; riesz space ... See more keywords