A simplified reproducing kernel method for 1-D elliptic type interface problems
type: Item
instance of: scholarly article
title: A simplified reproducing kernel method for 1-D elliptic type interface problems
zbMATH Open document ID: 1409.65048
author: Erdal Karapınar
published in: Journal of Computational and Applied Mathematics
publication date: 2019-01-29T00:00:00Z
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L60
zbMATH DE Number: 7007555
zbMATH Keywords: interface problem
zbMATH Keywords: broken reproducing kernel space
zbMATH Keywords: simplified reproducing kernel method
zbMATH Keywords: convergence analysis
describes a project that uses: IIMPACK
MaRDI profile type: Publication
full work available at URL: j.cam.2018.10.027
OpenAlex ID: W2899795368
cites work: On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems
cites work: The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
cites work: Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
cites work: The Immersed Interface Method
cites work: A boundary condition capturing method for Poisson's equation on irregular domains
cites work: Convergence of the ghost fluid method for elliptic equations with interfaces
cites work: High-order difference potentials methods for 1D elliptic type models
cites work: On the Solution of the Elliptic Interface Problems by Difference Potentials Method
cites work: High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces
cites work: MIB Galerkin method for elliptic interface problems
cites work: A second order virtual node method for elliptic problems with interfaces and irregular domains
cites work: A second order virtual node method for elliptic problems with interfaces and irregular domains in three dimensions
cites work: The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
cites work: BDDC methods for discontinuous Galerkin discretization of elliptic problems
cites work: Convergence analysis of theQ1-finite element method for elliptic problems with non-boundary-fitted meshes
cites work: On the accuracy of finite element approximations to a class of interface problems
cites work: Q3085563
cites work: Superconvergence of immersed finite element methods for interface problems
cites work: A finite element method for interface problems in domains with smooth boundaries and interfaces
cites work: Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient
cites work: Analysis of an efficient finite element method for embedded interface problems
cites work: Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces
cites work: Modeling holes and inclusions by level sets in the extended finite element method
cites work: An efficient method for fractional nonlinear differential equations by quasi-Newton's method and simplified reproducing kernel method
cites work: Numerical solution of nonlinear singular boundary value problems
cites work: Simplified reproducing kernel method for fractional differential equations with delay
cites work: A numerical solution for variable order fractional functional differential equation
cites work: CONVERGENCE ORDER OF THE REPRODUCING KERNEL METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS
cites work: Solving singular two-point boundary value problem in reproducing kernel space
cites work: Q3633379
Wikidata QID: Q128962708
DOI: 10.1016/J.CAM.2018.10.027
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description: scientific article; zbMATH DE number 7007555