77 citations · 550 across the 45 of their papers we have counts for
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Partition of Unity Extension of Functions on Complex Domains
Fredrik Fryklund, Erik Lehto, Anna-Karin Tornberg
We introduce an efficient algorithm, called partition of unity extension or PUX, to construct an extension of desired regularity of a function given on a complex multiply connected…
A comparison of the Spectral Ewald and Smooth Particle Mesh Ewald methods in GROMACS
Davood Saffar Shamshirgar, Berk Hess, Anna-Karin Tornberg
The smooth particle mesh Ewald (SPME) method is an FFT based method for the fast evaluation of electrostatic interactions under periodic boundary conditions. A highly optimized imp…
Fast Ewald summation for electrostatic potentials with arbitrary periodicity
Davood Saffar Shamshirgar, Joar Bagge, Anna-Karin Tornberg
A unified treatment for fast and spectrally accurate evaluation of electrostatic potentials subject to periodic boundary conditions in any or none of the three spatial dimensions i…
A highly accurate boundary integral equation method for surfactant-laden drops in 3D
Chiara Sorgentone, Anna-Karin Tornberg
The presence of surfactants alters the dynamics of viscous drops immersed in an ambient viscous fluid. This is specifically true at small scales, such as in applications of droplet…
A local target specific quadrature by expansion method for evaluation of layer potentials in 3D
Michael Siegel, Anna-Karin Tornberg
Accurate evaluation of layer potentials is crucial when boundary integral equation methods are used to solve partial differential equations. Quadrature by expansion (QBX) is a rece…
Adaptive quadrature by expansion for layer potential evaluation in two dimensions
Ludvig af Klinteberg, Anna-Karin Tornberg
When solving partial differential equations using boundary integral equation methods, accurate evaluation of singular and nearly singular integrals in layer potentials is crucial.…