Error analysis of the immersed interface method for Stokes equations with an interface

DOI10.1016/J.AML.2018.03.034zbMath1457.65161OpenAlexW2797958495WikidataQ129987237 ScholiaQ129987237MaRDI QIDQ1644167

Zhilin Li, Rui Hu

Publication date: 21 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.03.034

zbMATH Keywords

finite difference methoderror analysisStokes equationsimmersed interface methoddivergence-free

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems ⋮ Second order convergence of a modified MAC scheme for Stokes interface problems ⋮ Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries ⋮ A generalized finite difference method for solving Stokes interface problems

Uses Software

• IIMPACK

Cites Work

• On the accuracy of finite difference methods for elliptic problems with interfaces.
• An overview of the immersed interface method and its applications
• Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term
• Pressure jump conditions for Stokes equations with discontinuous viscosity in 2D and 3D
• Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients
• An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• The Immersed Interface Method

This page was built for publication: Error analysis of the immersed interface method for Stokes equations with an interface