Solving Laplace problems with corner singularities via rational functions
A Gopal, LN Trefethen - SIAM Journal on Numerical Analysis, 2019 - SIAM
A new method is introduced for solving Laplace problems on two-dimensional regions with
corners by approximation of boundary data by the real part of a rational function with fixed …
corners by approximation of boundary data by the real part of a rational function with fixed …
New Laplace and Helmholtz solvers
A Gopal, LN Trefethen - Proceedings of the National …, 2019 - National Acad Sciences
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ARTICLES Current IssueLatest ArticlesSpecial FeaturesList of IssuesPNAS Nexus Front …
ARTICLES Current IssueLatest ArticlesSpecial FeaturesList of IssuesPNAS Nexus Front …
Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects
Y Liu, AH Barnett - Journal of Computational Physics, 2016 - Elsevier
We present a high-order accurate boundary-based solver for three-dimensional (3D)
frequency-domain scattering from a doubly-periodic grating of smooth axisymmetric sound …
frequency-domain scattering from a doubly-periodic grating of smooth axisymmetric sound …
Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects
DB Stein, AH Barnett - Advances in Computational Mathematics, 2022 - Springer
Well-conditioned boundary integral methods for the solution of elliptic boundary value
problems (BVPs) are powerful tools for static and dynamic physical simulations. When there …
problems (BVPs) are powerful tools for static and dynamic physical simulations. When there …
[PDF][PDF] FLAM: Fast linear algebra in MATLAB-Algorithms for hierarchical matrices
KL Ho - Journal of Open Source Software, 2020 - joss.theoj.org
Many large matrices in science and engineering possess a special hierarchical low-rank
structure that enables fast multiplication and inversion, among other fundamental …
structure that enables fast multiplication and inversion, among other fundamental …
Simulation and Design of Ion Traps using the Method of Fundamental Solutions
T Taylor - 2024 - search.proquest.com
In this thesis I apply the numeric method, the Method of Fundamental Solutions (MFS), to
solve for the fields create by ion traps in various configurations, such as quadrupole ion …
solve for the fields create by ion traps in various configurations, such as quadrupole ion …
High-order numerical methods for scattering problems
A Gopal - 2021 - ora.ox.ac.uk
Scattering problems are ubiquitous in scientific and engineering applications. These
problems can often be straightforwardly modeled using relatively simple linear partial …
problems can often be straightforwardly modeled using relatively simple linear partial …