Regularization Techniques for Numerical Approximation of PDEs with Singularities. - Anna-Karin Tornberg; Björn Engquist (J. Sci. Comput., 2003)

A numerical method for simulations of rigid fiber suspensions. - Anna-Karin Tornberg; Katarina Gustavsson (J. Comput. Phys., 2006)

Consistent boundary conditions for the Yee scheme. - Anna-Karin Tornberg; Björn Engquist (J. Comput. Phys., 2008)

A fast multipole method for the three-dimensional Stokes equations. - Anna-Karin Tornberg; Leslie Greengard (J. Comput. Phys., 2008)

Modeling simple locomotors in Stokes flow. - Alex Kanevsky; Michael J. Shelley; Anna-Karin Tornberg (J. Comput. Phys., 2010)

Spectrally accurate fast summation for periodic Stokes potentials. - Dag Lindbo; Anna-Karin Tornberg (J. Comput. Phys., 2010)

Delta function approximations in level set methods by distance function extension. - Sara Zahedi; Anna-Karin Tornberg (J. Comput. Phys., 2010)

Spectral accuracy in fast Ewald-based methods for particle simulations. - Dag Lindbo; Anna-Karin Tornberg (J. Comput. Phys., 2011)

An embedded boundary method for soluble surfactants with interface tracking for two-phase flows. - Shilpa Khatri; Anna-Karin Tornberg (J. Comput. Phys., 2014)

An accurate integral equation method for simulating multi-phase Stokes flow. - Rikard Ojala; Anna-Karin Tornberg (J. Comput. Phys., 2015)

The Ewald sums for singly, doubly and triply periodic electrostatic systems. - Anna-Karin Tornberg (Adv. Comput. Math., 2016)

A fast integral equation method for solid particles in viscous flow using quadrature by expansion. - Ludvig af Klinteberg; Anna-Karin Tornberg (J. Comput. Phys., 2016)

Error estimation for quadrature by expansion in layer potential evaluation. - Ludvig af Klinteberg; Anna-Karin Tornberg (Adv. Comput. Math., 2017)

The Spectral Ewald method for singly periodic domains. - Davoud Saffar Shamshirgar; Anna-Karin Tornberg (J. Comput. Phys., 2017)

Partition of unity extension of functions on complex domains. - Fredrik Fryklund; Erik Lehto; Anna-Karin Tornberg (J. Comput. Phys., 2018)

A local target specific quadrature by expansion method for evaluation of layer potentials in 3D. - Michael Siegel; Anna-Karin Tornberg (J. Comput. Phys., 2018)

A highly accurate boundary integral equation method for surfactant-laden drops in 3D. - Chiara Sorgentone; Anna-Karin Tornberg (J. Comput. Phys., 2018)

Adaptive Quadrature by Expansion for Layer Potential Evaluation in Two Dimensions. - Ludvig af Klinteberg; Anna-Karin Tornberg (SIAM J. Sci. Comput., 2018)

An integral equation method for closely interacting surfactant-covered droplets in wall-confined Stokes flow. - Sara Pålsson; Anna-Karin Tornberg (CoRR, 2019)

Spectrally accurate Ewald summation for the Yukawa potential in two dimensions. - Sara Pålsson; Anna-Karin Tornberg (CoRR, 2019)

An accurate integral equation method for Stokes flow with piecewise smooth boundaries. - Lukas Bystricky; Sara Pålsson; Anna-Karin Tornberg (CoRR, 2019)

Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow. - Sara Pålsson; Michael Siegel; Anna-Karin Tornberg (J. Comput. Phys., 2019)

A 3D boundary integral method for the electrohydrodynamics of surfactant-covered drops. - Chiara Sorgentone; Anna-Karin Tornberg; Petia M. Vlahovska (J. Comput. Phys., 2019)

An integral equation-based numerical method for the forced heat equation on complex domains. - Fredrik Fryklund; Mary Catherine A. Kropinski; Anna-Karin Tornberg (Adv. Comput. Math., 2020)

Highly accurate special quadrature methods for Stokesian particle suspensions in confined geometries. - Joar Bagge; Anna-Karin Tornberg (CoRR, 2020)

Accurate evaluation of integrals in slender-body formulations for fibers in viscous flow. - Anna-Karin Tornberg (CoRR, 2020)

An adaptive kernel-split quadrature method for parameter-dependent layer potentials. - Fredrik Fryklund; Ludvig af Klinteberg; Anna-Karin Tornberg (Adv. Comput. Math., 2022)

Quadrature error estimates for layer potentials evaluated near curved surfaces in three dimensions. - Ludvig af Klinteberg; Chiara Sorgentone; Anna-Karin Tornberg (Comput. Math. Appl., 2022)

A locally corrected multiblob method with hydrodynamically matched grids for the Stokes mobility problem. - Anna Broms; Mattias Sandberg; Anna-Karin Tornberg (J. Comput. Phys., 2023)

An integral equation method for the advection-diffusion equation on time-dependent domains in the plane. - Fredrik Fryklund; Sara Pålsson; Anna-Karin Tornberg (J. Comput. Phys., 2023)

Fast Ewald summation for Stokes flow with arbitrary periodicity. - Joar Bagge; Anna-Karin Tornberg (J. Comput. Phys., 2023)

Estimation of quadrature errors for layer potentials evaluated near surfaces with spherical topology. - Chiara Sorgentone; Anna-Karin Tornberg (Adv. Comput. Math., 2023)

A Method of Fundamental Solutions for Large-Scale 3D Elastance and Mobility Problems. - Anna Broms; Alex H. Barnett; Anna-Karin Tornberg (CoRR, 2024)

Error estimate based adaptive quadrature for layer potentials over axisymmetric surfaces. - David Krantz; Anna-Karin Tornberg (CoRR, 2024)

A barrier method for contact avoiding particles in Stokes flow. - Anna Broms; Anna-Karin Tornberg (J. Comput. Phys., 2024)

Accurate close interactions of Stokes spheres using lubrication-adapted image systems. - Anna Broms; Alex H. Barnett; Anna-Karin Tornberg (J. Comput. Phys., 2025)

Deep Micro Solvers for Rough-Wall Stokes Flow in a Heterogeneous Multiscale Method. - Emanuel Ström; Anna-Karin Tornberg; Ozan Öktem (CoRR, 2025)