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Fast Convolution Quadrature Based Impedance Boundary Conditions
(2013)We consider an eddy current problem in time-domain relying on impedance boundary conditions on the surface of the conductor(s). We pursue its full discretization comprising (i) a finite element Galerkin discretization by means of lowest order edge elements in space, and (ii) temporal discretization based on Runge-Kutta convolution quadrature (CQ) for the resulting Volterra integral equation in time. The final algorithm also involves the ...Report -
Shape optimization by pursuing diffeomorphisms
(2014)Research reportWe consider PDE constrained shape optimization in the frame- work of finite element discretization of the underlying boundary valu e problem. Our approach employs (i) B-spline based representations of the deformation diffeomorphism, and (ii) superconvergent domain integral expressions for the shape gradient. We study the balance of the discretization errors of the finite element method and the B-sp line approximation. We provide numerical ...Report -