A Fast Boundary Element Method for the Solution of Periodic Many-inclusion Problems via Hierarchical Matrix TechniquesPaul Cazeaux, Olivier Zahm2015Highly Influenced8 Excerpts

Band gap calculations of photonic crystals by singular boundary methodWeiwei Li, Wen ChenJ. Computational Applied Mathematics2017Highly Influenced5 Excerpts

Recent Advances and Emerging Applications of the Boundary Element MethodY. J. Liu, A. Saez2012Highly Influenced7 Excerpts

A single trace integral formulation of the second kind for acoustic scatteringX. Claeys2011Highly Influenced4 Excerpts

A tensor product finite element method for the diffraction grating problem with transparent boundary conditionsZhi Xia, Kui DuComputers & Mathematics with Applications20171 Excerpt

Rapidly convergent quasi-periodic Green functions for scattering by arrays of cylinders-including Wood anomalies.Oscar P Bruno, Agustin G Fernandez-LadoProceedings. Mathematical, physical, and…20173 Excerpts

A Spectral Element Method with Transparent Boundary Condition for Periodic Layered Media ScatteringYing He, Misun Min, David P. NichollsJ. Sci. Comput.20161 Excerpt

Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objectsYuxiang Liu, Alex H. BarnettJ. Comput. Physics20163 Excerpts

Title Preconditioning based on Calderon ’ s formulae for periodicfast multipole methods for Helmholtz ’ equationKazuki Niino, Naoshi Nishimura20152 Excerpts

Boundary Integral Equations in Time-harmonic Acoustic ScatteringRAINER KRESS, R. KRESS2001Highly Influential7 Excerpts

Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann mapsJianHua Yuan, Ya Yan Lu, Xavier AntoineJ. Comput. Physics2008Highly Influential4 Excerpts

Photonic Crystals: Molding the Flow of Light (second Edition)John D. Joannopoulos, Steven G. Johnson, Joshua N. Winn, Robert D. Meade2007Highly Influential6 Excerpts

Lattice sums and the two-dimensionalA. Dienstfrey, F. Hang, J. Huangperiodic Green’s function for the Helmholtz…2001Highly Influential4 Excerpts

Integral Equation Methods in Scattering TheoryD. Colton, R. KressWiley1983Highly Influential5 Excerpts

Integral equation methods for elliptic problems with boundary conditions of mixed typeJohan HelsingJ. Comput. Physics20091 Excerpt

A periodic FMM for Maxwell's equations in 3D and its applications to problems related to photonic crystalsYoshihiro Otani, Naoshi NishimuraJ. Comput. Physics20082 Excerpts

Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioningJohan Helsing, Rikard OjalaJ. Comput. Physics2008

Fast algorithms for Helmholtz Green ’ s functionsGREGORY BEYLKIN, CHRISTOPHER KURCZ, LUCAS MONZÓN20082 Excerpts

On the evaluation of layer potentials close to their sourcesJohan Helsing, Rikard OjalaJ. Comput. Physics20081 Excerpt