Many boundary integral equations for exterior Dirichlet and Neumann boundary value problems for the Helmholtz equation suffer from a motorious instability for wave numbers related to interior resonances...
Keywords: acoustic scattering, indirect boundary integral equations, combined field integral equations (CFIE), coercivity, boundary element methods, Galerkin schemes
06/2003 | Journal of Numerical Mathematics, Walter de GruyterIn this paper we study the relation between the coercivity and positivity of a time scale quadratic functional J, which could be a second variation for a nonlinear time scale calculus of variations problem (P)...
Keywords: time scale embedding theorem, quadratic functional, coercivity, Riccati equation, Legendre condition
01/2008 | Analysis, Oldenbourg Wissenschaftsverlag