28 citations · 74 across the 12 of their papers we have counts for
12 papers
A parametrix for the surface Stokes equation
Tristan Goodwill, Jeremy Hoskins, Zydrunas Gimbutas +1
We introduce an integral equation formulation of the surface Stokes equations, constructed using two-dimensional Stokeslets. The resulting integral equations are Fredholm integral…
Corrected Trapezoidal Rules for Near-Singular Surface Integrals Applied to 3D Ellipsoids in Stokes Flow
Monika Nitsche, Bowei Wu, Ling Xu
Interfacial Stokes flow can be efficiently computed using the Boundary Integral Equation method. In 3D, the fluid velocity at a target point is given by a 2D surface integral over…
An Extension of the Euler-Maclaurin Summation Formula to Nearly Singular Functions
Bowei Wu
A extension of the Euler-Maclaurin (E-M) formula to near-singular functions is presented. This extension is derived based on earlier generalized E-M formulas for singular functions…
Elastic fractal higher-order topological states
Tingfeng Ma, Bowei Wu, Jiachao Xu +5
Fractal is an intriguing geometry with self-similarity and non-integer dimensions, the elastic-wave topological phase based on fractal structures has not been revealed up to now. I…
Robust fast direct integral equation solver for three-dimensional quasi-periodic scattering problems with a large number of layers
Bowei Wu, Min Hyung Cho
A boundary integral equation method for the 3-D Helmholtz equation in multilayered media with many quasi-periodic layers is presented. Compared with conventional quasi-periodic Gre…
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces
Bowei Wu, Per-Gunnar Martinsson
This paper describes a trapezoidal quadrature method for the discretization of singular and hypersingular boundary integral operators (BIOs) that arise in solving boundary value pr…