[ספר][B] Fast direct solvers for elliptic PDEs
PG Martinsson - 2019 - SIAM
In writing this book, I set out to create an accessible introduction to fast multipole methods
(FMMs) and techniques based on integral equation formulations. These are powerful tools …
(FMMs) and techniques based on integral equation formulations. These are powerful tools …
[HTML][HTML] Efficient convergent boundary integral methods for slender bodies
The interaction of fibers in a viscous (Stokes) fluid plays a crucial role in industrial and
biological processes, such as sedimentation, rheology, transport, cell division, and …
biological processes, such as sedimentation, rheology, transport, cell division, and …
A fast algorithm for quadrature by expansion in three dimensions
This paper presents an accelerated quadrature scheme for the evaluation of layer potentials
in three dimensions. Our scheme combines a generic, high order quadrature method for …
in three dimensions. Our scheme combines a generic, high order quadrature method for …
[HTML][HTML] Large scale Brownian dynamics of confined suspensions of rigid particles
We introduce methods for large-scale Brownian Dynamics (BD) simulation of many rigid
particles of arbitrary shape suspended in a fluctuating fluid. Our method adds Brownian …
particles of arbitrary shape suspended in a fluctuating fluid. Our method adds Brownian …
A highly accurate boundary integral equation method for surfactant-laden drops in 3D
The presence of surfactants alters the dynamics of viscous drops immersed in an ambient
viscous fluid. This is specifically true at small scales, such as in applications of droplet based …
viscous fluid. This is specifically true at small scales, such as in applications of droplet based …
An integral equation formulation for rigid bodies in Stokes flow in three dimensions
We present a new derivation of a boundary integral equation (BIE) for simulating the three-
dimensional dynamics of arbitrarily-shaped rigid particles of genus zero immersed in a …
dimensional dynamics of arbitrarily-shaped rigid particles of genus zero immersed in a …
Numerical simulation of an extensible capsule using regularized Stokes kernels and overset finite differences
[HTML][HTML] Accurate close interactions of Stokes spheres using lubrication-adapted image systems
Stokes flows with near-touching rigid particles induce near-singular lubrication forces under
relative motion, making their accurate numerical treatment challenging. With the aim of …
relative motion, making their accurate numerical treatment challenging. With the aim of …