Pole Figure Inversion Using Finite Elements Over Rodrigues Space

Tsunami waveform inversion by numerical finite-elements Green?s functions

During the last few years, the steady increase in the quantity and quality of the data concerning tsunamis has led to an increasing interest in the inversion problem for tsunami data. This work addresses the usually ill-posed problem of the hydrodynamical inversion of tsunami tide-gage records to infer the initial sea perturbation. We use an inversion method for which the data space consists of...

Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space

Variational time discretization schemes are getting of increasing importance for the accurate numerical approximation of transient phenomena. The applicability and value of mixed finite element methods in space for simulating transport processes have been demonstrated in a wide class of works. We consider a family of continuous Galerkin-Petrov time discretization schemes that is combined with a...

Emotion Editing using Finite Elements

This paper describes the prototype of a facial expression editor. In contrast to existing systems the presented editor takes advantage of both medical data for the simulation and the consideration of facial anatomy during the definition of muscle groups. The C1-continuous geometry and the high degree of abstraction for the expression editing sets this system apart from others. Using finite elem...

Efficient Inversion of Rational Maps over Finite Fields

We study the problem of finding the inverse image of a point in the image of a rational map F : F q → F n q over a finite field Fq. Our interest mainly stems from the case where F encodes a permutation given by some public–key cryptographic scheme. Given an element y(0) ∈ F (F q ), we are able to compute the set of values x(0) ∈ F q for which F (x(0)) = y(0) holds with O(Tn4.38D2.38δ log q) bit...

Homology of Projective Space over Finite Fields