74 citations · 198 across the 9 of their papers we have counts for
10 papers
A scalable Ewald-free BIE framework for periodic Stokes flow via hierarchical proxy sums
Tianyue Li, Dhairya Malhotra, Shravan Veerapaneni
Particulate Stokes flow in confined, periodic geometries underlies a broad class of problems in biophysics, microfluidics, and the rheology of complex fluids. Boundary integral equ…
Direct, simple, and efficient computation of all components of the virtual-casing magnetic field in axisymmetric geometries with Kapur-Rokhlin quadrature
Evan Toler, Antoine Cerfon, Dhairya Malhotra
In a recent publication (Toler et al. 2023), we demonstrated that for axisymmetric geometries, the Kapur-Rokhlin quadrature rule provided an efficient and high-order accurate metho…
Efficient Convergent Boundary Integral Methods for Slender Bodies
Dhairya Malhotra, Alex Barnett
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 lo…
The Magnetic Gradient Scale Length Explains Why Certain Plasmas Require Close External Magnetic Coils
John Kappel, Matt Landreman, Dhairya Malhotra
The separation between the last closed flux surface of a plasma and the external coils that magnetically confine it is a limiting factor in the construction of fusion-capable plasm…
A fast, accurate, and easy to implement Kapur-Rokhlin quadrature scheme for singular integrals in axisymmetric geometries
E. Toler, A. J. Cerfon, D. Malhotra
Many applications in magnetic confinement fusion require the efficient calculation of surface integrals with singular integrands. The singularity subtraction approaches typically u…
Efficient high-order singular quadrature schemes in magnetic fusion
Dhairya Malhotra, Antoine J. Cerfon, Michael O'Neil +1
Several problems in magnetically confined fusion, such as the computation of exterior vacuum fields or the decomposition of the total magnetic field into separate contributions fro…
A scalable computational platform for particulate Stokes suspensions
Wen Yan, Eduardo Corona, Dhairya Malhotra +2
We describe a computational framework for simulating suspensions of rigid particles in Newtonian Stokes flow. One central building block is a collision-resolution algorithm that ov…
Taylor States in Stellarators: A Fast High-order Boundary Integral Solver
Dhairya Malhotra, Antoine Cerfon, Lise-Marie Imbert-Gérard +1
We present a boundary integral equation solver for computing Taylor relaxed states in non-axisymmetric solid and shell-like toroidal geometries. The computation of Taylor states in…
AccFFT: A library for distributed-memory FFT on CPU and GPU architectures
Amir Gholami, Judith Hill, Dhairya Malhotra +1
We present a new library for parallel distributed Fast Fourier Transforms (FFT). The importance of FFT in science and engineering and the advances in high performance computing nec…
FFT, FMM, or Multigrid? A comparative Study of State-Of-the-Art Poisson Solvers for Uniform and Nonuniform Grids in the Unit Cube
Amir Gholami, Dhairya Malhotra, Hari Sundar +1
In this work, we benchmark and discuss the performance of the scalable methods for the Poisson problem which are used widely in practice: the fast Fourier transform (FFT), the fast…