A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems (Q6111284)

scientific article; zbMATH DE number 7708277

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English	A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems	scientific article; zbMATH DE number 7708277

Statements

instance of

scholarly article

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title

A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems (English)

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Communications in Computational Physics

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publication date

6 July 2023

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zbMATH Keywords

elliptic interface problem

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compact scheme

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finite difference method

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Cartesian grid method

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kernel-free boundary integral method

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boundary integral equation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.4208/cicp.oa-2022-0236

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cites work

A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)

0 references

A sharp interface method for incompressible two-phase flows

0 references

A level set based sharp interface method for the multiphase incompressible Navier --- Stokes equations with phase change

0 references

The ghost fluid method for deflagration and detonation discontinuities

0 references

Sharp interface Cartesian grid method. III: Solidification of pure materials and binary solutions

0 references

A finite element method for interface problems in domains with smooth boundaries and interfaces

0 references

Finite element methods and their convergence for elliptic and parabolic interface problems

0 references

A finite element method for crack growth without remeshing

0 references

Arbitrary branched and intersecting cracks with the extended finite element method

0 references

Arbitrary discontinuities in finite elements

0 references

An extended pressure finite element space for two-phase incompressible flows with surface tension

0 references

A Cartesian grid embedded boundary method for Poisson's equation on irregular domains

0 references

A supra-convergent finite difference scheme for the Poisson and heat equations on irregular domains and non-graded adaptive Cartesian grids

0 references

A second order virtual node method for elliptic problems with interfaces and irregular domains

0 references

Numerical analysis of blood flow in the heart

0 references

A three-dimensional computational method for blood flow in the heart. I: Immersed elastic fibers in a viscous incompressible fluid

0 references

An immersed boundary method with formal second-order accuracy and reduced numerical viscosity

0 references

A Fast Iterative Algorithm for Elliptic Interface Problems

0 references

The Immersed Interface Method

0 references

New Cartesian grid methods for interface problems using the finite element formulation

0 references

The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions

0 references

A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions

0 references

A boundary condition capturing method for Poisson's equation on irregular domains

0 references

A second-order-accurate symmetric discretization of the Poisson equation on irregular domains

0 references

A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem

0 references

An efficient fluid-solid coupling algorithm for single-phase flows

0 references

Finite-difference ghost-point multigrid methods on Cartesian grids for elliptic problems in arbitrary domains

0 references

Second order finite-difference ghost-point multigrid methods for elliptic problems with discontinuous coefficients on an arbitrary interface

0 references

A second-order boundary condition capturing method for solving the elliptic interface problems on irregular domains

0 references

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

0 references

Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions

0 references

A correction function method for Poisson problems with interface jump conditions

0 references

High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources

0 references

On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method

0 references

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

0 references

A fourth order finite difference method for solving elliptic interface problems with the FFT acceleration

0 references

A coupling interface method for elliptic interface problems

0 references

A discontinuous-Galerkin-based immersed boundary method with non-homogeneous boundary conditions and its application to elasticity

0 references

An efficient finite element method for embedded interface problems

0 references

Fictitious domain approach with \(hp\)-finite element approximation for incompressible fluid flow

0 references

A discontinuous-Galerkin-based immersed boundary method

0 references

Boundary integral equations

0 references

GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

0 references

Rapid parallel evaluation of integrals in potential theory on general three-dimensional regions

0 references

Algorithm 543: FFT9, Fast Solution of Helmholtz-Type Partial Differential Equations [D3]

0 references

High-Order Fast Elliptic Equation Solvers

0 references

A fourth-order-accurate Fourier method for the Helmholtz equation in three dimensions

0 references

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

0 references

A kernel-free boundary integral method for implicitly defined surfaces

0 references

A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs

0 references

A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells

0 references

A fourth-order kernel-free boundary integral method for the modified Helmholtz equation

0 references

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

0 references

A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions

0 references

A Cartesian grid based tailored finite point method for reaction-diffusion equation on complex domains

0 references

A fourth-order Cartesian grid method for multiple acoustic scattering on closely packed obstacles

0 references

Q4663944

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Fourth-order finite difference methods for three-dimensional general linear elliptic problems with variable coefficients

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Identifiers

zbMATH Open document ID

1518.65138

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Mathematics Subject Classification ID

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10.4208/CICP.OA-2022-0236

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Sitelinks

Mathematics(1 entry)

mardi Publication:6111284