Browsing Computational Mathematics (CM) by Title
Now showing items 172191 of 192

A spacetime DPG method for the wave equation in multiple dimensions
(RICAM book series, 2019)A spacetime discontinuous Petrov–Galerkin (DPG) method for the linear wave equation is presented. This method is based on a weak formulation that uses a broken graph space. The wellposedness of this formulation is ... 
Spray Drag Effect of Fluidized Sand for a Supersonic Vehicle
(Journal of Coupled Systems and Multiscale Dynamics, 20141231)This paper deals with fluidized sand simulation in order to estimate the impact of sand particle motion on the BLOODHOUND SuperSonic Car (SSC) drag forces, such phenomenon is known as a spray drag effect. A gasparticle ... 
Stabilized dualmixed method for the problem of linear elasticity with mixed boundary conditions
(Applied Mathematics Letters, 20141231)We extend the applicability of the augmented dualmixed method introduced recently in Gatica (2007), Gatica et al. (2009) to the problem of linear elasticity with mixed boundary conditions. The method is based on the ... 
Studies on knot placement techniques for the geometry construction and the accurate simulation of isogeometric spatial curved beams
(Computer Methods in Applied Mechanics and Engineering, 201911)The present paper investigates the use of different knot placement techniques for isogeometric analysis of spatial curved beams, to enhance analysis results in cases when geometries are given in terms of data points. ... 
Super Abrasive Machining of Integral Rotary Components Using Grinding Flank Tools
(Metals, 20180101)Manufacturing techniques that are applied to turbomachinery components represent a challenge in the aeronautic sector. These components require high resistant superalloys in order to satisfy the extreme working conditions ... 
The maximum angle condition is not necessary for convergence of the finite element method
(Numerische Mathematik, 20121231)We show that the famous maximum angle condition in the finite element analysis is not necessary to achieve the optimal convergence rate when simplicial finite elements are used to solve elliptic problems. This condition ... 
The Modellers' Halting Foray into Ecological Theory: Or, What is This Thing Called 'Growth Rate'?
(Acta Biotheoretica, 20151231)This discussion paper describes the attempt of an imagined group of nonecologists ("Modellers" ) to determine the population growth rate from field data. The Modellers wrestle with the multiple definitions of the growth ... 
TimeDomain GoalOriented Adaptivity Using PseudoDual Error Representations
(Computer Methods in Applied Mechanics and Engineering, 201712)Goaloriented adaptive algorithms produce optimal grids to solve challenging engineering problems. Recently, a novel error representation using (unconventional) pseudodual problems for goaloriented adaptivity in the ... 
Timeresolved Adaptive Direct FEM Simulation of Highlift Aircraft Configurations
(Numerical simulation of the aerodynamics of highlift configurations, 20170801)Our simulation methodology is referred to as Direct FEM Simulation (DFS), or General Galerkin (G2) and uses a finite element method (FEM) with piecewise linear approximation in space and time, and with numerical stabilization ... 
Timeresolved adaptive FEM simulation of the DLRF11 aircraft model at high Reynolds number
(52nd AIAA Aerospace Sciences Meeting  AIAA Science and Technology Forum and Exposition, SciTech 2014, 20141231)We present a timeresolved, adaptive finite element method for aerodynamics, together with the results from the HiLiftPW2 workshop, where this method is used to compute the ow past a DLRF11 aircraft model at realistic ... 
Towards a parameterfree method for high Reynolds number turbulent flow simulation based on adaptive finite element approximation
(Computer Methods in Applied Mechanics and Engineering, 20150501)This article is a review of our work towards a parameterfree method for simulation of turbulent flow at high Reynolds numbers. In a series of papers we have developed a model for turbulent flow in the form of weak solutions ... 
Towards efficient 5axis flank CNC machining of freeform surfaces via fitting envelopes of surfaces of revolution
(ComputerAided Design, 20160630)We introduce a new method that approximates freeform surfaces by envelopes of oneparameter motions of surfaces of revolution. In the context of 5axis computer numerically controlled (CNC) machining, we propose a flank ... 
Towards HPCEmbedded Case Study: Kalray and MessagePassing on NoC
(Scalable Computing, 2017)Today one of the most important challenges in HPC is the development of computers with a low power consumption. In this context, recently, new embedded manycore systems have emerged. One of them is Kalray. Unlike other ... 
Towards optimal advection using stretchmaximizing stream surfaces
(Computer Aided Geometric Design, 20170301)We investigate a class of stream surfaces that expand in time as much as possible. Given a vector field, we look for seed curves that locally propagate in time in a stretchmaximizing manner, i.e., curves that infinitesimally ... 
Towards the development of adaptive finite element methods for internal flow aeroacoustics
(19th AIAA/CEAS Aeroacoustics Conference, 20131231)We report the latest results obtained in the development of an adaptive finite element method for computational aeroacoustics (CAA). The new methodology is based on the General Galerkin (G2) method, which has been successfully ... 
Unified modeling language description of the objectoriented multiscale adaptive finite element method for stepandflash imprint lithography simulations
(IOP Conference Series: Materials Science and Engineering, 20141231)In the first part of the paper we present the multiscale simulation of the StepandFlash Imprint Lithography (SFIL), a modern patterning process. The simulation utilizes the hp adaptive Finite Element Method (hpFEM) ... 
Unstructured, curved elements for the twodimensional high order discontinuous controlvolume/finiteelement method
(International Journal for Numerical Methods in Engineering, 20141231)Quadrilateral and triangular elements with curved edges are developed in the framework of spectral, discontinuous, hybrid controlvolume/finiteelement method for elliptic problems. In order to accommodate hybrid meshes, ... 
Using Covariance Matrix Adaptation Evolutionary Strategy to boost the search accuracy in hierarchic memetic computations
(Journal of Computational Science, 201904)Many global optimization problems arising naturally in science and engineering exhibit some form of intrinsic illposedness, such as multimodality and insensitivity. Severe illposedness precludes the use of standard ... 
The value of continuity: Refined isogeometric analysis and fast direct solvers
(Computer Methods in Applied Mechanics and Engineering, 20160923)We propose the use of highly continuous finite element spaces interconnected with low continuity hyperplanes to maximize the performance of direct solvers. Starting from a highly continuous Isogeometric Analysis (IGA) ... 
Variational Formulations for Explicit RungeKutta Methods
(Finite Elements in Analysis and Design, 201908)Variational spacetime formulations for partial di fferential equations have been of great interest in the last decades, among other things, because they allow to develop meshadaptive algorithms. Since it is known ...