Adrianna Gillman

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 14

Top Topics

Hamilton Jacobi

High Resolution

Integral Equation

Boundary Value Problem

Top Venues

SIAM J. Sci. Comput.

J. Comput. Phys.

Adv. Comput. Math.

Publications

José Pablo Lucero Lorca, Natalie Beams, Damien Beecroft, Adrianna Gillman
An Iterative Solver for the HPS Discretization Applied to Three Dimensional Helmholtz Problems. SIAM J. Sci. Comput. 46 (1) (2024)
Yabin Zhang, Adrianna Gillman, Shravan K. Veerapaneni
A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations. Adv. Comput. Math. 48 (5) (2022)
Yabin Zhang, Adrianna Gillman
A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems, Part II. CoRR (2022)
Yabin Zhang, Adrianna Gillman, Shravan Veerapaneni
A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations. CoRR (2021)
Yabin Zhang, Adrianna Gillman
An alternative extended linear system for boundary value problems on locally perturbed geometries. J. Comput. Phys. 433 (2021)
José Pablo Lucero Lorca, Natalie N. Beams, Damien Beecroft, Adrianna Gillman
An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems. CoRR (2021)
Yabin Zhang, Adrianna Gillman
An alternative extended linear system for boundary value problems on locally perturbed geometries. CoRR (2020)
Natalie N. Beams, Adrianna Gillman, Russell J. Hewett
A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems. Comput. Math. Appl. 79 (4) (2020)
P. Geldermans, Adrianna Gillman
An Adaptive High Order Direct Solution Technique for Elliptic Boundary Value Problems. SIAM J. Sci. Comput. 41 (1) (2019)
Yabin Zhang, Adrianna Gillman
A fast direct solver for two dimensional quasi-periodic multilayered medium scattering problems. CoRR (2019)
Yabin Zhang, Adrianna Gillman
A fast direct solver for boundary value problems on locally perturbed geometries. J. Comput. Phys. 356 (2018)
Adrianna Gillman
An integral equation technique for scattering problems with mixed boundary conditions. Adv. Comput. Math. 43 (2) (2017)
Carlos Borges, Adrianna Gillman, Leslie Greengard
High Resolution Inverse Scattering in Two Dimensions Using Recursive Linearization. SIAM J. Imaging Sci. 10 (2) (2017)
Gary R. Marple, Alex H. Barnett, Adrianna Gillman, Shravan Veerapaneni
A Fast Algorithm for Simulating Multiphase Flows Through Periodic Geometries of Arbitrary Shape. SIAM J. Sci. Comput. 38 (5) (2016)
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. SIAM J. Sci. Comput. 36 (4) (2014)
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. Adv. Comput. Math. 40 (4) (2014)
Adrianna Gillman, Per-Gunnar Martinsson
A fast solver for Poisson problems on infinite regular lattices. J. Comput. Appl. Math. 258 (2014)
Adrianna Gillman, Sijia Hao, Per-Gunnar Martinsson
A simplified technique for the efficient and highly accurate discretization of boundary integral equations in 2D on domains with corners. J. Comput. Phys. 256 (2014)
Adrianna Gillman, Alex H. Barnett
A fast direct solver for quasi-periodic scattering problems. J. Comput. Phys. 248 (2013)
Adrianna Gillman, Per-Gunnar Martinsson
Fast and accurate numerical methods for solving elliptic difference equations defined on lattices. J. Comput. Phys. 229 (24) (2010)