Integral Equation Methods and Numerical Solutions of Crack and Inclusion Problems in Planar Elastostatics. - Gunnar Peters; Johan Helsing (SIAM J. Appl. Math., 1998)

An Efficient Numerical Algorithm for Cracks Partly in Frictionless Contact. - Gunnar Peters; Johan Helsing (SIAM J. Appl. Math., 2000)

On the evaluation of layer potentials close to their sources. - Johan Helsing; Rikard Ojala (J. Comput. Phys., 2008)

Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning. - Johan Helsing; Rikard Ojala (J. Comput. Phys., 2008)

Faster convergence and higher accuracy for the Dirichlet-Neumann map. - Johan Helsing (J. Comput. Phys., 2009)

Integral equation methods for elliptic problems with boundary conditions of mixed type. - Johan Helsing (J. Comput. Phys., 2009)

The effective conductivity of random checkerboards. - Johan Helsing (J. Comput. Phys., 2011)

The effective conductivity of arrays of squares: Large random unit cells and extreme contrast ratios. - Johan Helsing (J. Comput. Phys., 2011)

Stability of the Nyström Method for the Sherman-Lauricella Equation. - Victor Didenko; Johan Helsing (SIAM J. Numer. Anal., 2011)

A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves. - Johan Helsing (SIAM J. Sci. Comput., 2011)

On the Stability of the Nyström Method for the Muskhelishvili Equation on Contours with Corners. - Victor Didenko; Johan Helsing (SIAM J. Numer. Anal., 2013)

An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces. - Johan Helsing; Anders Karlsson (J. Comput. Phys., 2014)

Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems. - Johan Helsing; Anders Holst (Adv. Comput. Math., 2015)

Determination of normalized electric eigenfields in microwave cavities with sharp edges. - Johan Helsing; Anders Karlsson (J. Comput. Phys., 2016)

On a Helmholtz transmission problem in planar domains with corners. - Johan Helsing; Anders Karlsson (J. Comput. Phys., 2018)

Corner Effects on the Perturbation of an Electric Potential. - Doo Sung Choi; Johan Helsing; Mikyoung Lim (SIAM J. Appl. Math., 2018)

On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains. - Johan Helsing; Shidong Jiang (SIAM J. Sci. Comput., 2018)

Physical-density integral equation methods for scattering from multi-dielectric cylinders. - Johan Helsing; Anders Karlsson (J. Comput. Phys., 2019)

An Extended Charge-Current Formulation of the Electromagnetic Transmission Problem. - Johan Helsing; Anders Karlsson (SIAM J. Appl. Math., 2020)

Comparison of integral equations for the Maxwell transmission problem with general permittivities. - Johan Helsing; Anders Karlsson; Andreas Rosén (Adv. Comput. Math., 2021)

An efficient full-wave solver for eddy currents. - Johan Helsing; Anders Karlsson; Andreas Rosén (Comput. Math. Appl., 2022)

Solving Fredholm second-kind integral equations with singular right-hand sides on non-smooth boundaries. - Johan Helsing; Shidong Jiang (J. Comput. Phys., 2022)

Inverse Problem for a Planar Conductivity Inclusion. - Doo Sung Choi; Johan Helsing; Sangwoo Kang 001; Mikyoung Lim (SIAM J. Imaging Sci., 2023)

The Helmholtz Dirichlet and Neumann problems on piecewise smooth open curves. - Johan Helsing; Shidong Jiang (J. Comput. Phys., 2025)