This paper presents an adjoint method for the calculation of non-collocated sensitivities in supersonic flow. The goal is to develop a set of discrete adjoint equations and their corresponding boundary conditions in order to quantify the influence of geometry modifications on the pressure distribution at an arbitrary location within the domain of interest. First, this paper presents the complet...

in this work, an inverse finite element formulation was modified for considering material anisotropy in obtaining blank shape and forming severity of deep drawn orthotropic parts. in this procedure, geometry of final part and thickness of initial blank sheet were known. after applying ideal forming formulations between material points of initial blank and final shape, an equation system was obt...

We describe a lighting design system driven by sketching on 3D virtual models. Conventional lighting design tools simulate the lighting effects of design decisions such as window locations, surface treatments, and fixture placement. Light Pen takes the inverse approach by allowing the designer to indicate desired illumination on a 3D model. This serves as input to a knowledge-based lighting des...

Abstract Spatially incoherent light sources, such as spontaneously emitting atoms, naively require Maxwell’s equations to be solved many times obtain the total emission, which becomes computationally intractable in conjunction with large-scale optimization (inverse design). We present a trace formulation of emission that can efficiently combined inverse design, even for topology over thousands ...

In this work we investigate an inverse geometry problem. Given a light source, a diffuse plane and a caustic image, how must a geometric object look like (transmissive or reflective) in oder to project the desired caustic onto the diffuse plane when lit by the light source? In order to construct the geometry we apply an analysis-by-synthesis approach, exploiting the GPU to accelerate caustic re...

In this publication we will implement the inverse Seesaw mechanism [2] into the noncommutative framework [1] on the basis of the AC-extension of the Standard Model [3]. The main difference to the classical AC model is the chiral nature of the AC fermions with respect to a U(1)X extension of the Standard Model gauge group. It is this extension which allows us to couple the right-handed neutrinos...

The geodesics for a sub-Riemannian metric on a threedimensional contact manifold M form a 1-parameter family of curves along each contact direction. However, a collection of such contact curves on M , locally equivalent to the solutions of a fourth-order ODE, are the geodesics of a sub-Riemannian metric only if a sequence of invariants vanish. The first of these, which was first identified by F...

Over twenty years ago, Marc Kac posed what is arguably one of the simplest inverse problems in pure mathematics: "Can one hear the shape of a drum?" [19]. Mathematically, the question is formulated as follows. Let /2 be a simply connected, plane domain (the drumhead) bounded by a smooth curve 7, and consider the wave equation on /2 with Dirichlet boundary condition on 7 (the drumhead is clamped...