Related references
Note: Only part of the references are listed.A ROBUST HYPERVISCOSITY FORMULATION FOR STABLE RBF-FD DISCRETIZATIONS OF ADVECTION-DIFFUSION-REACTION EQUATIONS ON MANIFOLDS
Varun Shankar et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2020)
Comparison of Moving Least Squares and RBF plus poly for Interpolation and Derivative Approximation
Victor Bayona
JOURNAL OF SCIENTIFIC COMPUTING (2019)
On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries
Victor Bayona et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2019)
Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations
Varun Shankar et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions
Varun Shankar et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
Minimal numerical differentiation formulas
Oleg Davydov et al.
NUMERISCHE MATHEMATIK (2018)
RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for solving PDEs on surfaces
Varun Shankar et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
ROBUST NODE GENERATION FOR MESH-FREE DISCRETIZATIONS ON IRREGULAR DOMAINS AND SURFACES
Varun Shankar et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2018)
Immersed Boundary Smooth Extension (IBSE): A high-order method for solving incompressible flows in arbitrary smooth domains
David B. Stein et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2017)
The overlapped radial basis function-finite difference (RBF-FD) method: A generalization of RBF-FD
Varun Shankar
JOURNAL OF COMPUTATIONAL PHYSICS (2017)
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
Victor Bayona et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2017)
Using the material point method to model chemical/mechanical coupling in the deformation of a silicon anode
Chris Gritton et al.
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING (2017)
A RADIAL BASIS FUNCTION (RBF) COMPACT FINITE DIFFERENCE (FD) SCHEME FOR REACTION-DIFFUSION EQUATIONS ON SURFACES
Erik Lehto et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2017)
Enhancing finite differences with radial basis functions: Experiments on the Navier-Stokes equations
Natasha Flyer et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2016)
On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy
Natasha Flyer et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2016)
Immersed boundary smooth extension: A high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods
David B. Stein et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2016)
Fast RBF OGr for Solving PDEs on Arbitrary Surfaces
Cecile Piret et al.
NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS (NUMTA-2016) (2016)
A scalable consistent second-order SPH solver for unsteady low Reynolds number flows
Nathaniel Trask et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2015)
Augmenting the immersed boundary method with Radial Basis Functions (RBFs) for the modeling of platelets in hemodynamic flows
Varun Shankar et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2015)
A Fully Lagrangian Advection Scheme
John C. Bowman et al.
JOURNAL OF SCIENTIFIC COMPUTING (2015)
A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces
Varun Shankar et al.
JOURNAL OF SCIENTIFIC COMPUTING (2015)
A radial basis function (RBF) finite difference method for the simulation of reaction-diffusion equations on stationary platelets within the augmented forcing method
Varun Shankar et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2014)
SEMI-LAGRANGIAN METHODS FOR PARABOLIC PROBLEMS IN DIVERGENCE FORM
L. Bonaventura et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2014)
An overview of mathematical modeling of thrombus formation under flow
Karin Leiderman et al.
THROMBOSIS RESEARCH (2014)
The Influence of Hindered Transport on the Development of Platelet Thrombi Under Flow
Karin Leiderman et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2013)
A High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces
Edward J. Fuselier et al.
JOURNAL OF SCIENTIFIC COMPUTING (2013)
Simulations of chemical transport and reaction in a suspension of cells I: an augmented forcing point method for the stationary case
Lingxing Yao et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2012)
The orthogonal gradients method: A radial basis functions method for solving partial differential equations on arbitrary surfaces
Cecile Piret
JOURNAL OF COMPUTATIONAL PHYSICS (2012)
A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere
Natasha Flyer et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2012)
Adaptive meshless centres and RBF stencils for Poisson equation
Oleg Davydov et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2011)
Stabilization of RBF-generated finite difference methods for convective PDEs
Bengt Fornberg et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2011)
Grow with the flow: a spatial-temporal model of platelet deposition and blood coagulation under flow
Karin Leiderman et al.
MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA (2011)
RBF-FD formulas and convergence properties
Victor Bayona et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2010)
A radial basis function method for the shallow water equations on a sphere
Natasha Flyer et al.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2009)
A fast immersed boundary method using a nullspace approach and multi-domain far-field boundary conditions
Tim Colonius et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2008)
Aspects of the dynamical core of a nonhydrostatic, deep-atmosphere, unified weather and climate-prediction model
Andrew Staniforth et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2008)
Transport schemes on a sphere using radial basis functions
Natasha Flyer et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2007)
Scattered node compact finite difference-type formulas generated from radial basis functions
GB Wright et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2006)
Grid-free adaptive semi-lagrangian advection using radial basis functions
J Behrens et al.
COMPUTERS & MATHEMATICS WITH APPLICATIONS (2002)
A cartesian grid embedded boundary method for the heat equation on irregular domains
P McCorquodale et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2001)
A semi-Lagrangian high-order method for Navier-Stokes equations
DB Xiu et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2001)
An immersed-boundary finite-volume method for simulations of flow in complex geometries
J Kim et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2001)
On algorithms for permuting large entries to the diagonal of a sparse matrix
IS Duff et al.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2001)
Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
EA Fadlun et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2000)
A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries
D Calhoun et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2000)
Share Paper
