Adrianna Gillman

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All published works

Action	Title	Year	Authors
+ PDF Chat	An Iterative Solver for the HPS Discretization Applied to Three Dimensional Helmholtz Problems	2024	José Pablo Lucero Lorca Natalie Beams Damien Beecroft Adrianna Gillman
+ PDF Chat	A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations	2022	Yabin Zhang Adrianna Gillman Shravan Veerapaneni
+	A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems, Part II	2022	Yabin Zhang Adrianna Gillman
+ PDF Chat	An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems	2021	José Pablo Lucero Lorca Natalie Beams Damien Beecroft Adrianna Gillman
+ PDF Chat	An alternative extended linear system for boundary value problems on locally perturbed geometries	2021	Yabin Zhang Adrianna Gillman
+	An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems	2021	José Pablo Lucero Lorca Natalie Beams Damien Beecroft Adrianna Gillman
+	A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations	2021	Yabin Zhang Adrianna Gillman Shravan Veerapaneni
+ PDF Chat	A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems	2020	Yabin Zhang Adrianna Gillman
+ PDF Chat	A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems	2019	Natalie Beams Adrianna Gillman Russell J. Hewett
+	A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems	2019	Yabin Zhang Adrianna Gillman
+ PDF Chat	An Adaptive High Order Direct Solution Technique for Elliptic Boundary Value Problems	2019	Peter Geldermans Adrianna Gillman
+	A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems	2018	Natalie Beams Adrianna Gillman Russell J. Hewett
+	A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems	2018	Natalie Beams Adrianna Gillman Russell J. Hewett
+ PDF Chat	A fast direct solver for boundary value problems on locally perturbed geometries	2017	Yabin Zhang Adrianna Gillman
+	An adaptive high order direct solution technique for elliptic boundary value problems	2017	Adrianna Gillman Peter Geldermans
+ PDF Chat	High Resolution Inverse Scattering in Two Dimensions Using Recursive Linearization	2017	Carlos F. Borges Adrianna Gillman Leslie Greengard
+	An adaptive high order direct solution technique for elliptic boundary value problems	2017	Peter Geldermans Adrianna Gillman
+	An accelerated Poisson solver based on multidomain spectral discretization	2016	Tracy Babb Adrianna Gillman Sijia Hao Per‐Gunnar Martinsson
+ PDF Chat	An integral equation technique for scattering problems with mixed boundary conditions	2016	Adrianna Gillman
+	High resolution inverse scattering in two dimensions using recursive linearization	2016	Carlos F. Borges Adrianna Gillman Leslie Greengard
+	An integral equation technique for scattering problems with mixed boundary conditions	2016	Adrianna Gillman
+	Study of Discrete Scattering Operators for Some Linear Kinetic Models	2016	Yanping Chen Zheng Chen Yingda Cheng Adrianna Gillman Fengyan Li
+ PDF Chat	A Fast Algorithm for Simulating Multiphase Flows Through Periodic Geometries of Arbitrary Shape	2016	Gary R. Marple Alex H. Barnett Adrianna Gillman Shravan Veerapaneni
+	An accelerated Poisson solver based on multidomain spectral discretization	2016	Tracy Babb Adrianna Gillman Sijia Hao Per‐Gunnar Martinsson
+	High resolution inverse scattering in two dimensions using recursive linearization	2016	Carlos F. Borges Adrianna Gillman Leslie Greengard
+	An integral equation technique for scattering problems with mixed boundary conditions	2016	Adrianna Gillman
+	A fast algorithm for simulating multiphase flows through periodic geometries of arbitrary shape	2015	Gary R. Marple Alex H. Barnett Adrianna Gillman Shravan Veerapaneni
+	A fast algorithm for simulating multiphase flows through periodic geometries of arbitrary shape	2015	Gary R. Marple Alex H. Barnett Adrianna Gillman Shravan Veerapaneni
+ PDF Chat	A high-order accurate accelerated direct solver for acoustic scattering from surfaces	2014	James Bremer Adrianna Gillman Per‐Gunnar Martinsson
+ PDF Chat	A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media	2014	Adrianna Gillman Alex H. Barnett Per‐Gunnar Martinsson
+ PDF Chat	A Direct Solver with $O(N)$ Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method	2014	Adrianna Gillman Per‐Gunnar Martinsson
+ PDF Chat	An O(N) algorithm for constructing the solution operator to 2D elliptic boundary value problems in the absence of body loads	2013	Adrianna Gillman Per‐Gunnar Martinsson
+	A fast solver for Poisson problems on infinite regular lattices	2013	Adrianna Gillman Per‐Gunnar Martinsson
+	A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media	2013	Adrianna Gillman Alex H. Barnett Per‐Gunnar Martinsson
+ PDF Chat	A fast direct solver for quasi-periodic scattering problems	2013	Adrianna Gillman Andrew Barnett
+	An O(N) algorithm for constructing the solution operator to 2D elliptic boundary value problems in the absence of body loads	2013	Adrianna Gillman Per‐Gunnar Martinsson
+	A direct solver with O(N) complexity for variable coefficient elliptic PDEs discretized via a high-order composite spectral collocation method	2013	Adrianna Gillman Per‐Gunnar Martinsson
+	An O(N) algorithm for constructing the solution operator to 2D elliptic boundary value problems in the absence of body loads	2013	Adrianna Gillman Per‐Gunnar Martinsson
+	A high-order accurate accelerated direct solver for acoustic scattering from surfaces	2013	James Bremer Adrianna Gillman Per‐Gunnar Martinsson
+	A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media	2013	Adrianna Gillman Alex H. Barnett Per‐Gunnar Martinsson
+ PDF Chat	A direct solver with O(N) complexity for integral equations on one-dimensional domains	2012	Adrianna Gillman Patrick Young Per‐Gunnar Martinsson
+	A fast solver for Poisson problems on infinite regular lattices	2011	Adrianna Gillman Per‐Gunnar Martinsson
+	A direct solver with O(N) complexity for integral equations on one-dimensional domains	2011	Adrianna Gillman Patrick Young Per‐Gunnar Martinsson

Common Coauthors

Coauthor	Papers Together
Per‐Gunnar Martinsson	16
Yabin Zhang	7
Alex H. Barnett	6
Natalie Beams	6
Shravan Veerapaneni	5
Damien Beecroft	3
José Pablo Lucero Lorca	3
Peter Geldermans	3
Carlos F. Borges	3
Gary R. Marple	3
Russell J. Hewett	3
Leslie Greengard	3
Tracy Babb	2
James Bremer	2
Zheng Chen	1
Yanping Chen	1
Patrick Young	1
Fengyan Li	1
Sijia Hao	1
Patrick Young	1
Sijia Hao	1
Yingda Cheng	1
Andrew Barnett	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A direct solver with O(N) complexity for integral equations on one-dimensional domains	2012	Adrianna Gillman Patrick Young Per‐Gunnar Martinsson	12
+ PDF Chat	A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization	2012	Kenneth L. Ho Leslie Greengard	10
+ PDF Chat	Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization	1996	Ming Gu Stanley C. Eisenstat	9
+ PDF Chat	A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media	2014	Adrianna Gillman Alex H. Barnett Per‐Gunnar Martinsson	9
+ PDF Chat	Inverse Acoustic and Electromagnetic Scattering Theory	2012	David Colton Rainer Kreß	7
+ PDF Chat	A Direct Solver with $O(N)$ Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method	2014	Adrianna Gillman Per‐Gunnar Martinsson	7
+	Efficient Numerical Methods for Non-local Operators	2010	Steffen Börm	6
+ PDF Chat	A multidomain spectral method for solving elliptic equations	2003	Harald Pfeiffer Larry Kidder Mark Scheel Saul A. Teukolsky	6
+	Direct Methods for Sparse Matrices	2017	Iain Duff A. M. Erisman J. K. Reid	6
+	High-order accurate Nystrom discretization of integral equations with weakly singular kernels on smooth curves in the plane	2011	Shifeng Hao Alex H. Barnett Per‐Gunnar Martinsson Porter Young	5
+	Hybrid Gauss-Trapezoidal Quadrature Rules	1999	Bradley K. Alpert	5
+	High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions	1997	Sharad Kapur Vladimir Rokhlin	5
+ PDF Chat	Hierarchical Interpolative Factorization for Elliptic Operators: Differential Equations	2015	Kenneth L. Ho Lexing Ying	5
+	A Note on the Stability of Solving a Rank-<i>p</i> Modification of a Linear System by the Sherman–Morrison–Woodbury Formula	1986	E. L. Yip	4
+ PDF Chat	A fast direct solver for quasi-periodic scattering problems	2013	Adrianna Gillman Andrew Barnett	4
+ PDF Chat	High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane	2013	Shifeng Hao Alex H. Barnett Per‐Gunnar Martinsson Porter Young	3
+	On the numerical solution of two‐point boundary value problems II	1994	Page Starr Vladimir Rokhlin	3
+	Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem	1994	Anne‐Sophie Bonnet‐Bendhia Felipe Starling	3
+	Robust fast direct integral equation solver for quasi-periodic scattering problems with a large number of layers	2015	Min Hyung Cho Alex H. Barnett	3
+	On Integral Equation and Least Squares Methods for Scattering by Diffraction Gratings	2006	Tilo Arens Simon N. Chandler‐Wilde John A. DeSanto	3
+ PDF Chat	A Fast Algorithm for Simulating Multiphase Flows Through Periodic Geometries of Arbitrary Shape	2016	Gary R. Marple Alex H. Barnett Adrianna Gillman Shravan Veerapaneni	3
+ PDF Chat	Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains	2008	Alex H. Barnett Timo Betcke	3
+ PDF Chat	A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves	2011	Johan Helsing	3
+ PDF Chat	A high-order accurate accelerated direct solver for acoustic scattering from surfaces	2014	James Bremer Adrianna Gillman Per‐Gunnar Martinsson	3
+ PDF Chat	Spectrally Accurate Quadratures for Evaluation of Layer Potentials Close to the Boundary for the 2D Stokes and Laplace Equations	2015	Alex H. Barnett Bowei Wu Shravan Veerapaneni	3
+ PDF Chat	Quadrature by expansion: A new method for the evaluation of layer potentials	2013	Andreas Klöckner Alexander H. Barnett Leslie Greengard Michael O’Neil	3
+ PDF Chat	A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations	2010	Alex H. Barnett Leslie Greengard	3
+ PDF Chat	An Adaptive High Order Direct Solution Technique for Elliptic Boundary Value Problems	2019	Peter Geldermans Adrianna Gillman	3
+	Regularized Quasi-Newton method for inverse scattering problems	1993	Semion Gutman Michael V. Klibanov	2
+ PDF Chat	A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions	2013	Leslie Greengard Kenneth L. Ho June‐Yub Lee	2
+ PDF Chat	An accurate integral equation method for simulating multi-phase Stokes flow	2015	Rikard Ojala Anna‐Karin Tornberg	2
+ PDF Chat	A Robust and Accurate Solver of Laplace's Equation with General Boundary Conditions on General Domains in the Plane	2012	Rikard Ojala	2
+	Inverse scattering via Heisenberg's uncertainty principle	1997	Yu Chen	2
+	A contrast source inversion method	1997	P.M. van den Berg R. E. Kleinman	2
+ PDF Chat	FaIMS: A fast algorithm for the inverse medium problem with multiple frequencies and multiple sources for the scalar Helmholtz equation	2012	Stéphanie Chaillat George Biros	2
+	Fundamental Solutions Method for Elliptic Boundary Value Problems	1985	Alexander Bogomolny	2
+ PDF Chat	LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares	1982	Christopher C. Paige Michael A. Saunders	2
+	Regularization for inverse models in remote sensing	2011	Yanfei Wang	2
+ PDF Chat	A Distributed-Memory Package for Dense Hierarchically Semi-Separable Matrix Computations Using Randomization	2016	François-Henry Rouet Xiaoye Sherry Li Pieter Ghysels Artem Napov	2
+	Numerical solution of an inverse medium scattering problem for Maxwell’s Equations at fixed frequency	2009	Gang Bao Peijun Li	2
+ PDF Chat	Light Trapping Textures Designed by Electromagnetic Optimization for Subwavelength Thick Solar Cells	2013	Vidya Ganapati Owen D. Miller Eli Yablonovitch	2
+	Total wave based fast direct solver for volume scattering problems	2013	Yu Chen	2
+	On the numerical solution of a three-dimensional inverse medium scattering problem	2001	Thorsten Hohage	2
+	Some inequalities between Dirichlet and neumann eigenvalues	1991	Leonid Friedlander	2
+	A fast new method to solve inverse scattering problems	1996	Roland Potthast	2
+ PDF Chat	On Interpolation and Integration in Finite-Dimensional Spaces of Bounded Functions	2005	Per‐Gunnar Martinsson Vladimir Rokhlin Mark Tygert	2
+	Stability estimates and reconstructions in inverse acoustic scattering using singular sources	2000	Roland Potthast	2
+	An approximation problem in inverse scattering theory	1991	David Colton Andreas Kirsch	2
+	Yet Another Fast Multipole Method without Multipoles—Pseudoparticle Multipole Method	1999	Junichiro Makino	2
+	TWO VERSIONS OF QUASI-NEWTON METHOD FOR MULTIDIMENSIONAL INVERSE SCATTERING PROBLEM	1993	Semion Gutman Michael V. Klibanov	2