The radial basis functions method for improved numerical approximations of geological processes in heterogeneous systems
type: Item
instance of: scholarly article
title: The radial basis functions method for improved numerical approximations of geological processes in heterogeneous systems
zbMATH Open document ID: 1436.65019
author: C. Piret
author: Nadun Dissanayake
author: John S. Gierke
author: Bengt Fornberg
published in: Mathematical Geosciences
publication date: 2020-07-06T00:00:00Z
Mathematics Subject Classification ID: 65D12
Mathematics Subject Classification ID: 86-08
zbMATH DE Number: 7217923
zbMATH Keywords: RBF-FD
zbMATH Keywords: drawdown by pumping
zbMATH Keywords: groundwater flow
zbMATH Keywords: heterogeneous media
describes a project that uses: MODFLOW-2000
describes a project that uses: rbf_qr
describes a project that uses: Matlab
describes a project that uses: MODFLOW
MaRDI profile type: Publication
full work available at URL: s11004-019-09820-w
OpenAlex ID: W2968430267
Wikidata QID: Q109852866
cites work: Propagation of premixed laminar flames in 3D narrow open ducts using RBF-generated finite differences
cites work: On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
cites work: On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries
cites work: Monotone Funktionen, Stieltjessche Integrale und harmonische Analyse
cites work: A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination
cites work: Interpolation in the limit of increasingly flat radial basis functions
cites work: Q3446085
cites work: Radial basis functions: developments and applications to planetary scale flows
cites work: A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere
cites work: On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy
cites work: A Primer on Radial Basis Functions with Applications to the Geosciences
cites work: Solving PDEs with radial basis functions
cites work: Stabilization of RBF-generated finite difference methods for convective PDEs
cites work: Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: Stable computation of differentiation matrices and scattered node stencils based on Gaussian radial basis functions
cites work: Interpolation of scattered data: distance matrices and conditionally positive definite functions
cites work: Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
cites work: On using radial basis functions in a ``finite difference mode'' with applications to elasticity problems
DOI: 10.1007/S11004-019-09820-W
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description: scientific article; zbMATH DE number 7217923