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The Embedded Boundary Integral Method (EBI) for the Incompressible Navier-Stokes equations
Embedded Boundary Integral Method (EBI) Incompressible Navier Stokes equations
2015/7/15
We present a new method for the solution of the unsteady incompressible Navier-Stokes equations. Our goal is to achieve a robust and scalable methodology for two and three dimensional incompressible f...
Fast Algorithms for Boundary Integral Equations
Boundary integral equations Laplace equation Helmholtz equation fast algorithms fast multipole method hierarchical matrices wavelets multiscale methods multidirectional methods
2015/7/15
This article reviews several fast algorithms for boundary integral equations. After a brief introduction of the boundary integral equations for the Laplace and Helmholtz equations, we discuss in order...
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
oundary integral equations Nystrom discretization Singular integrals Nearly singular integrals Fast solvers Laplace equation Stokes equation Navier equation Fast multipole method Fast Fourier transform
2015/7/14
We present a high-order boundary integral equation solver for 3D elliptic boundary value problems on domains with smooth boundaries. We use Nystro ¨m’s method for discretization, and combine it with s...
Boundary integral operator for the fractional Laplace equation in a bounded Lipschitz domain
boundary integral operator layer potential fractional Laplacian bounded Lipschitz domain
2011/8/25
Abstract: We study the boundary integral operator induced from fractional Laplace equation in a bounded Lipschitz domain. As an application, we study the boundary value problem of a fractional Laplace...
Three-dimensional boundary integral modeling of spontaneous earthquake sequences and aseismic slip
Three-dimensional boundary integral modeling earthquake sequences aseismic slip
2014/4/8
Fault processes involve complex patterns of seismic events and aseismic slip. This work develops a three-dimensional (3-D) methodology for simulating long-term history of spontaneous seismic and aseis...
Taking $h_m$ as the mesh width of a curved edge $\Gamma _m$ $(m=1,...,d$ )
of polygons and using quadrature rules for weakly singular integrals, this
paper presents mechanical quadrature methods for...
期刊信息
篇名
Fundamental solutions for transversely isotropic magnetoelectroelastic media and boundary integral formulation.
语种
英文
撰写或编译
作者
Ding H.J.,Jiang A.M
第一作者单位
刊物名称
Science in China (E)
页面
2003, 46(...