Kernel free boundary integral method for 3D incompressible flow and linear elasticity equations on irregular domains
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Publication:6116147
DOI10.1016/j.cma.2023.116163arXiv2303.04992OpenAlexW4380738885MaRDI QIDQ6116147
Zhongshu Zhao, Wenjun Ying, Haixia Dong
Publication date: 11 August 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.04992
irregular domainlinear elasticity problemkernel-free boundary integral methodincompressible flow problemmarker and cell scheme
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Cites Work
- Unnamed Item
- Unnamed Item
- A kernel-free boundary integral method for implicitly defined surfaces
- Multigrid methods for the Stokes equations using distributive Gauss-Seidel relaxations based on the least squares commutator
- Stabilization and scalable block preconditioning for the Navier-Stokes equations
- Differential geometry based multiscale models
- An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner
- Boundary integral equations
- Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
- The rapid evaluation of volume integrals of potential theory on general regions
- Numerical analysis of blood flow in the heart
- A fast solver for the Stokes equations with distributed forces in complex geometries.
- Boundary element solution for steady and unsteady Stokes flow
- Integral equation methods for Stokes flow and isotropic elasticity in the plane
- The boundary element method for the solution of Stokes equations in two-dimensional domains
- A fourth-order kernel-free boundary integral method for the modified Helmholtz equation
- A class of nonconforming immersed finite element methods for Stokes interface problems
- A nonconforming Nitsche's extended finite element method for Stokes interface problems
- A kernel-free boundary integral method for elliptic boundary value problems
- A multi-level boundary element method for Stokes flows in irregular two-dimensional domains
- High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
- A cut finite element method for a Stokes interface problem
- A kernel-free boundary integral method for elliptic PDEs on a doubly connected domain
- A Method for Computing Nearly Singular Integrals
- Integral Equation Methods for Elastance and Mobility Problems in Two Dimensions
- Integral Equation Methods for Unsteady Stokes Flow in Two Dimensions
- Non-singular boundary integral methods for fluid mechanics applications
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport
- An Extended Finite Element Method for Two-Phase Fluids
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Stokes flow past a particle of arbitrary shape: a numerical method of solution
- Some notes on singular integral techniques in boundary element analysis
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- The Numerical Solution of Integral Equations of the Second Kind
- Coupling Fluid Flow with Porous Media Flow
- A parallel multipolar indirect boundary element method for the Neumann interior Stokes flow problem
- An Implementation of MAC Grid-Based IIM-Stokes Solver for Incompressible Two-Phase Flows
- A Grid-Based Boundary Integral Method for Elliptic Problems in Three Dimensions
- A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions
- A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells
- A Simple 3D Immersed Interface Method for Stokes Flow with Singular Forces on Staggered Grids
- Fast High Order Accurate Solution of Laplace’s Equation on Irregular Regions
- Preconditioners for Two-Phase Incompressible Navier--Stokes Flow
- Nearly Singular Integrals in 3D Stokes Flow
- A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs
- The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
- Block Preconditioners Based on Approximate Commutators
- Linear integral equations
- Second order convergence of a modified MAC scheme for Stokes interface problems
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