29 citations · 41 across the 20 of their papers we have counts for
22 papers
Algorithm librla: A library of randomized linear algebra routines
Adrianna Gillman, Zydrunas Gimbutas
The library \texttt{librla} is a randomized linear algebra library that is specifically designed for the intermediate-sized matrices (of dimension up to roughly 10,000) that arise…
An efficient boundary integral equation solution technique for solving aperiodic scattering problems from two-dimensional, periodic boundaries
Riley Fisher, Fruzsina Agocs, Adrianna Gillman
This manuscript presents an efficient boundary integral equation technique for solving two-dimensional Helmholtz problems defined in the half-plane bounded by an infinite, periodic…
Generating Entangled Steady States in Multistable Open Quantum Systems via Initial State Control
Diego Fallas Padilla, Raphael Kaubruegger, Adrianna Gillman +2
Entanglement underpins the power of quantum technologies, yet it is fragile and typically destroyed by dissipation. Paradoxically, the same dissipation, when carefully engineered,…
A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems, Part II
Yabin Zhang, Adrianna Gillman
This manuscript is the second in a series presenting fast direct solution techniques for solving two-dimensional wave scattering problems from quasi-periodic multilayered structure…
An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems
José Pablo Lucero Lorca, Natalie Beams, Damien Beecroft +1
This manuscript presents an efficient solver for the linear system that arises from the Hierarchical Poincaré-Steklov (HPS) discretization of three dimensional variable coefficient…
A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations
Yabin Zhang, Adrianna Gillman, Shravan Veerapaneni
In transient simulations of particulate Stokes flow, to accurately capture the interaction between the constituent particles and the confining wall, the discretization of the wall…
An alternative extended linear system for boundary value problems on locally perturbed geometries
Yabin Zhang, Adrianna Gillman
This manuscript presents a new extended linear system for integral equation based techniques for solving boundary value problems on locally perturbed geometries. The new extended l…
A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems
Yabin Zhang, Adrianna Gillman
This manuscript presents a fast direct solution technique for solving two dimensional wave scattering problems from quasi-periodic multilayered structures. When the interface geome…
A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems
Natalie Beams, Adrianna Gillman, Russell J. Hewett
The recently developed Hierarchical Poincaré-Steklov (HPS) method is a high-order discretization technique that comes with a direct solver. Results from previous papers demonstrate…
An adaptive high order direct solution technique for elliptic boundary value problems
Peter Geldermans, Adrianna Gillman
This manuscript presents an adaptive high order discretization technique for elliptic boundary value problems. The technique is applied to an updated version of the Hierarchical Po…
A fast direct solver for boundary value problems on locally perturbed geometries
Yabin Zhang, Adrianna Gillman
Many applications involve solving several boundary value problems on geometries that are local perturbations of an original geometry. The boundary integral equation for a problem o…
An accelerated Poisson solver based on multidomain spectral discretization
Tracy Babb, Adrianna Gillman, Sijia Hao +1
This paper presents a numerical method for variable coefficient elliptic PDEs with mostly smooth solutions on two dimensional domains. The PDE is discretized via a multi-domain spe…
High resolution inverse scattering in two dimensions using recursive linearization
Carlos Borges, Adrianna Gillman, Leslie Greengard
We describe a fast, stable algorithm for the solution of the inverse acoustic scattering problem in two dimensions. Given full aperture far field measurements of the scattered fiel…
An integral equation technique for scattering problems with mixed boundary conditions
Adrianna Gillman
This paper presents an integral formulation for Helmholtz problems with mixed boundary conditions. Unlike most integral equation techniques for mixed boundary value problems, the p…
A fast algorithm for simulating multiphase flows through periodic geometries of arbitrary shape
Gary Marple, Alex Barnett, Adrianna Gillman +1
This paper presents a new boundary integral equation (BIE) method for simulating particulate and multiphase flows through periodic channels of arbitrary smooth shape in two dimensi…
A high-order accurate accelerated direct solver for acoustic scattering from surfaces
James Bremer, Adrianna Gillman, Per-Gunnar Martinsson
We describe an accelerated direct solver for the integral equations which model acoustic scattering from curved surfaces. Surfaces are specified via a collection of smooth paramete…
A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media
Adrianna Gillman, Alex Barnett, Per-Gunnar Martinsson
This paper presents a direct solution technique for the scattering of time-harmonic waves from a bounded region of the plane in which the wavenumber varies smoothly in space.The me…
A direct solver with O(N) complexity for variable coefficient elliptic PDEs discretized via a high-order composite spectral collocation method
A. Gillman, P. G. Martinsson
A numerical method for solving elliptic PDEs with variable coefficients on two-dimensional domains is presented. The method is based on high-order composite spectral approximations…
An O(N) algorithm for constructing the solution operator to 2D elliptic boundary value problems in the absence of body loads
Adrianna Gillman, Per-Gunnar Martinsson
The large sparse linear systems arising from the finite element or finite difference discretization of elliptic PDEs can be solved directly via, e.g., nested dissection or multifro…
A fast direct solver for quasi-periodic scattering problems
Adrianna Gillman, Alex Barnett
We consider the numerical solution of the scattering of time-harmonic plane waves from an infinite periodic array of reflection or transmission obstacles in a homogeneous backgroun…
A direct solver with O(N) complexity for integral equations on one-dimensional domains
Adrianna Gillman, Patrick Young, Per-Gunnar Martinsson
An algorithm for the direct inversion of the linear systems arising from Nystrom discretization of integral equations on one-dimensional domains is described. The method typically…
A fast solver for Poisson problems on infinite regular lattices
A. Gillman, P. G. Martinsson
The Fast Multipole Method (FMM) provides a highly efficient computational tool for solving constant coefficient partial differential equations (e.g. the Poisson equation) on infini…