Boundary Value Problems and Integral Equations in Nonsmooth Domains : Proceedings of the Conference at the CIRM, Luminy

Based on the International Conference on Boundary Value Problems and lntegral Equations In Nonsmooth Domains held recently in Luminy, France, this work contains strongly interrelated, refereed papers that detail the latest findings in the fields of nonsmooth domains and corner singularities. Two-dimensional polygonal or Lipschitz domains, three-dimensional polyhedral corners and edges, and conical points in any dimension are examined. Based on the International Conference on Boundary Value Problems and Integral Equations in Nonsmooth Domains held recently at the Centre International de Rencontres Mathematiques (CIRM), Luminy, France, this unique reference contains strongly interrelated, refereed papers that detail the latest findings in the fields of nonsmooth domains and corner singularities - examining two-dimensional polygonal or Lipschitz domains, three-dimensional polyhedral corners and edges, and conical points in any dimension. Presenting the newest results - some of them obtained after the Luminy conference took place - Boundary Value Problems and Integral Equations in Nonsmooth Domains investigates current research in the singularities of nonlinear boundary value problems ... boundary layers ... Stokes, Navier-Stokes, Lame, Maxwell, and Helmholtz equations ... isotropic and anisotropic elasticity theory ... the computation of singular exponents for two-dimensional and three-dimensional corners ... edges with variable angles and branching singularities ... adaptive finite element and boundary element methods ... wavelet bases ... and more. Based on the International Conference on Boundary Value Problems and lntegral Equations In Nonsmooth Domains held in Luminy, these papers detail findings in the fields of nonsmooth domains and corner singularities. The scattering of a harmonic electromagnetic wave by a perfect conductor is a subject that has been largely studied by mathematicians, aiming to provide performant numerical tools.