Elliptic problems on non-smooth domains

1. On the polarizability and capacitance of the cube
   Appl. Comput. Harmon. Anal. vol. 34(3), pp. 445-468, 2013. (link)
   [with Karl-Mikael Perfekt ]
   
   
2. Spectral super-resolution in metamaterial composites
   New J. Phys. vol. 13(11), 115005, 2011. (link)
   [with Ross McPhedran and Graeme Milton]
   
   
3. The effective conductivity of arrays of squares: large random unit cells and extreme contrast ratios
   J. Comput. Phys., vol. 230(20), pp. 7533-7547, 2011. (link)
   
   
4. A fast and stable solver for singular integral equations on piecewise smooth curves
   SIAM J. Sci. Comput., vol. 33(1), pp. 153-174, 2011. (link)
   
   
5. The effective conductivity of random checkerboards
   J. Comput. Phys., vol. 230(4), pp. 1171-1181, 2011. (link)
   
   
6. Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions
   Internat. J. Solids Structures, vol. 46(25/26), pp. 4437-4450, 2009. (link)
   [with Rikard Ojala]
   
   
7. Corner singularities for elliptic problems: integral equations, graded meshes, quadrature, and compressed inverse preconditioning
   J. Comput. Phys., vol. 227(20), pp. 8820-8840, 2008. (link)
   [with Rikard Ojala]
   
   
8. Corner singularities for elliptic problems: special basis functions versus "brute force"
   Comm. Numer. Methods Engrg., vol. 16(1), pp. 37-46, 2000. (link)