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A meshfree generalized finite difference method for surface PDEs - MaRDI portal

A meshfree generalized finite difference method for surface PDEs (Q2203530)

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scientific article

Language	Label	Description	Also known as
English	A meshfree generalized finite difference method for surface PDEs	scientific article

Statements

scholarly article

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A meshfree generalized finite difference method for surface PDEs (English)

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publication date

7 October 2020

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full work available at URL

https://arxiv.org/abs/1806.07193

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zbMATH Keywords

meshfree

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surface

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manifold

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GFDM

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finite difference

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meshless

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describes a project that uses

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MaRDI profile type

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The flow and solidification of a thin fluid film on an arbitrary three-dimensional surface

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Diffusion on a curved surface coupled to diffusion in the volume: application to cell biology

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Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere.

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Finite Volume Methods on Spheres and Spherical Centroidal Voronoi Meshes

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Finite element methods for surface PDEs

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A Finite Element Method for Elliptic Equations on Surfaces

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Solving Partial Differential Equations on Point Clouds

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Variational problems and partial differential equations on implicit surfaces

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Volumetric variational principles for a class of partial differential equations defined on surfaces and curves

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PDE's on surfaces -- a diffusive interface approach

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A simple embedding method for solving partial differential equations on surfaces

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A high-order kernel method for diffusion and reaction-diffusion equations on surfaces

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Optimal shape parameter for the solution of elastostatic problems with the RBF method

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On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation

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Solving second order non-linear elliptic partial differential equations using generalized finite difference method

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Finite Pointset Method for the Simulation of a Vehicle Travelling Through a Body of Water

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Estimating surface normals in noisy point cloud data

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Application of a generalized finite difference method to mould filling process

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On generalized moving least squares and diffuse derivatives

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Calculus on Surfaces with General Closest Point Functions

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The orthogonal gradients method: a radial basis functions method for solving partial differential equations on arbitrary surfaces

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A local mesh method for solving PDEs on point clouds

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Meshless finite difference method with higher order approximation -- applications in mechanics

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A Conservative Mesh-Free Scheme and Generalized Framework for Conservation Laws

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On meshfree GFDM solvers for the incompressible Navier-Stokes equations

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Kinetic meshless method for compressible flows

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A High-Order Staggered Meshless Method for Elliptic Problems

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Meshfree finite difference approximations for functions of the eigenvalues of the Hessian

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Minimal positive stencils in meshfree finite difference methods for the Poisson equation

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Extended particle difference method for weak and strong discontinuity problems. I: Derivation of the extended particle derivative approximation for the representation of weak and strong discontinuities

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Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems

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Discrete Conservation Laws on Curved Surfaces II: A Dual Approach

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A Simple Mesh Generator in MATLAB

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Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s

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Free Energy of a Nonuniform System. I. Interfacial Free Energy

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Basic principles and practical applications of the Cahn-Hilliard equation

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Finite element approximation of the Cahn-Hilliard equation on surfaces

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Cahn-Hilliard on surfaces: a numerical study

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Computers & Mathematics with Applications

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CAMWA.2019.04.030

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Sitelinks

Mathematics(1 entry)

mardi Publication:2203530

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