Local-basis difference potentials method for elliptic PDEs in complex geometry (Q6162918)

scientific article; zbMATH DE number 7697002

Language	Label	Description	Also known as
English	Local-basis difference potentials method for elliptic PDEs in complex geometry	scientific article; zbMATH DE number 7697002

Statements

instance of

scholarly article

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title

Local-basis difference potentials method for elliptic PDEs in complex geometry (English)

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author

Qing Xia

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published in

Journal of Computational Physics

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publication date

16 June 2023

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full work available at URL

https://arxiv.org/abs/2211.06133

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zbMATH Keywords

difference potentials

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fast Poisson solver

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geometric flexibility

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high-order finite difference

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local basis functions

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MaRDI profile type

MaRDI publication profile

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cites work

High-order difference potentials methods for 1D elliptic type models

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High-order accurate methods based on difference potentials for 2D parabolic interface models

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High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces

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High-order numerical methods for 2D parabolic problems in single and composite domains

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Computation of singular solutions to the Helmholtz equation with high order accuracy

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Solving the Helmholtz equation for general smooth geometry using simple grids

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Non-iterative domain decomposition for the Helmholtz equation with strong material discontinuities

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Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials

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A method of boundary equations for unsteady hyperbolic problems in 3D

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High order numerical simulation of the transmission and scattering of waves using the method of difference potentials

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Solution of three-dimensional multiple scattering problems by the method of difference potentials

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3D time-dependent scattering about complex shapes using high order difference potentials

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Upwind-difference potentials method for Patlak-Keller-Segel chemotaxis model

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Efficient numerical algorithms based on difference potentials for chemotaxis systems in 3D

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Difference potentials method for models with dynamic boundary conditions and bulk-surface problems

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High-order numerical solution of the Helmholtz equation for domains with reentrant corners

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Numerical Solution of 3D Exterior Unsteady Wave Propagation Problems Using Boundary Operators

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Direct implementation of high order BGT artificial boundary conditions

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The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions

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An accurate integral equation method for Stokes flow with piecewise smooth boundaries

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Integral equation methods for elliptic problems with boundary conditions of mixed type

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An implicit interface boundary integral method for Poisson's equation on arbitrary domains

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An implicit boundary integral method for computing electric potential of macromolecules in solvent

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A kernel-free boundary integral method for elliptic boundary value problems

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A kernel-free boundary integral method for implicitly defined surfaces

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A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions

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A kernel-free boundary integral method for elliptic PDEs on a doubly connected domain

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The immersed boundary method

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Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension

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Immersed finite element method

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An immersed finite element method for elliptic interface problems in three dimensions

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An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.

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Cut finite element methods for elliptic problems on multipatch parametric surfaces

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<i>A posteriori</i> error estimates with boundary correction for a cut finite element method

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Stabilization of high order cut finite element methods on surfaces

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Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number

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On Galerkin difference methods

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Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form

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Galerkin differences for acoustic and elastic wave equations in two space dimensions

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Galerkin Differences for High-Order Partial Differential Equations

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Energy-based discontinuous Galerkin difference methods for second-order wave equations

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Derivative error bounds for Lagrange interpolation: An extension of Cauchy's bound for the error of Lagrange interpolation

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Enhancing accuracy with a convolution filter: what works and why!

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Analysis of trace finite element methods for surface partial differential equations

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On the regularity of difference schemes

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Elliptic Differential Equations

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Elliptic difference equations and interior regularity

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FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions

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Identifiers

arXiv ID

2211.06133

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DOI

10.1016/j.jcp.2023.112246

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6162918