In this paper, we develop and analyze an arbitrary Lagrangian-Eulerian discontinuous Galerkin (ALE-DG) method with a time-dependent approximation space for one dimensional conservation laws, which satisfies the geometric conservation law. For the semi-discrete ALE-DG method, when applied to nonlinear scalar conservation laws, a cell entropy inequality, L2 stability and error estimates are prove...

Mild cognitive impairment (MCI) can be the initial manifestation of autoimmune limbic encephalitis (ALE), a disorder that at times presents a diagnostic challenge. In addition to memory impairment, clinical features that might suggest this disorder include personality changes, agitation, insomnia, alterations of consciousness, and seizures. Once recognized, ALE typically responds to treatment w...

A large class of equivalence relations between the moduli spaces of instantons on ALE spaces and the Higgs branches of supersymmetric Yang-Mills theories, are found by means of a certain kind of duality transformation between brane configurations in superstring theories. 4d, N=2 and 5d, N=1 supersymmetric gauge theories with product gauge groups turn out to correspond to the ALE-instanton modul...

Problem based learning (PBL) has gained widespread approval as a student centered and student activating approach to teaching and learning. At Aalborg University this approach has been applied since the foundation of the university in 1974 and the so called Aalborg model has to some extent been developed through ‘learning by doing’. In recognition of the long experience with PBL the university ...

We model high income earners as sellers of quality services in a competitive assignment framework. Sellers (high income earners) are differentiated by ability; buyers by their taste for the service. There is assortative matching of buyers and sellers. We show that conventional optimal tax formulas are modified both by a social concern for buyers and an altered mapping of the talent into the inc...

We present our recent work on interface reconstruction in a logically structured Lagrangian CFD code that now incorporates the MoF system developed by Shashkov’s group at LANS. We also discuss the models used to update and re-map the state variables in the mixed

on account of some complexities such as fluid-structure interaction and extra-large deformation problems, complete simulation of abrasive water jet cutting process is very hard. the main goal of this paper is to overcome these difficulties through comprehensive simulation in ls-dyna commercial software. for this purpose the smoothed particle hydrodynamics (sph) and arbitrary lagrangian eulerian...

Computer-delivered educational material has great potential for customisation to meet the requirements of individual users, in particular students with disabilities. An adaptive learning environment (ALE) is a system which analyses the student's performance at each stage, using the results to generate the next section's content. This has always been the practice in traditional teaching, but is ...

Standard Arbitrary Lagrangian-Eulerian (ALE) methods for the simulation of fluid-structure interaction (FSI) problems fail due to excessive mesh deformations when the structural displacement is large. We propose a method that successfully deals with this problem, keeping the same mesh connectivity while enforcing mesh alignment with the structure. The proposed Extended ALE Method relies on a va...