Now showing items 79-98 of 197

• #### Gauss-Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis ﻿

(Computer-Aided Design, 2016-07-01)
We introduce Gaussian quadrature rules for spline spaces that are frequently used in Galerkin discretizations to build mass and stiffness matrices. By definition, these spaces are of even degrees. The optimal quadrature ...
• #### Gaussian quadrature for $C^1$ cubic Clough-Tocher macro-triangles ﻿

(Journal of Computational and Applied Mathematics, 2018-10-31)
A numerical integration rule for multivariate cubic polynomials over n-dimensional simplices was designed by Hammer and Stroud [14]. The quadrature rule requires n + 2 quadrature points: the barycentre of the simplex and ...
• #### Gaussian quadrature rules for $C^1$ quintic splines with uniform knot vectors ﻿

(Journal of Computational and Applied Mathematics, 2017-03-22)
We provide explicit quadrature rules for spaces of $C^1$ quintic splines with uniform knot sequences over finite domains. The quadrature nodes and weights are derived via an explicit recursion that avoids numerical solvers. ...
• #### Generalization of the Pythagorean Eigenvalue Error Theorem and its Application to Isogeometric Analysis ﻿

(Numerical Methods for PDEs, 2018-10-13)
This chapter studies the effect of the quadrature on the isogeometric analysis of the wave propagation and structural vibration problems. The dispersion error of the isogeometric elements is minimized by optimally blending ...
• #### Generalization of the Zlámal condition for simplicial finite elements in ℝ d ﻿

(Applications of Mathematics, 2011-12-31)
The famous Zlámal's minimum angle condition has been widely used for construction of a regular family of triangulations (containing nondegenerating triangles) as well as in convergence proofs for the finite element method ...
• #### Goal-Oriented Adaptivity using Unconventional Error Representations ﻿

(2017-09)
In Goal-Oriented Adaptivity (GOA), the error in a Quantity of Interest (QoI) is represented using global error functions of the direct and adjoint problems. This error representation is subsequently bounded above by ...
• #### Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation ﻿

(Computers and Mathematics with Applications, 2015-12-31)
In this work, the error of a given output functional is represented using bilinear forms that are different from those given by the adjoint problem. These representations can be employed to design novel h, p, and hp ...
• #### Goal-oriented adaptivity using unconventional error representations for the multi-dimensional Helmholtz equation ﻿

(International Journal for Numerical Methods in Engineering, 2017-06-27)
In goal‐oriented adaptivity, the error in the quantity of interest is represented using the error functions of the direct and adjoint problems. This error representation is subsequently bounded above by element‐wise error ...
• #### Goal-Oriented p-Adaptivity using Unconventional Error Representations for a 1D Steady State Convection-Diffusion Problem ﻿

(Procedia Computer Science, 2017)
This work proposes the use of an alternative error representation for Goal-Oriented Adaptivity (GOA) in context of steady state convection dominated diffusion problems. It introduces an arbitrary operator for the computation ...
• #### Group-level progressive alterations in brain connectivity patterns revealed by diffusion-tensor brain networks across severity stages in Alzheimer's disease ﻿

(Frontiers in Aging Neuroscience, 2017-07-01)
Alzheimer’s disease (AD) is a chronically progressive neurodegenerative disease highly correlated to aging. Whether AD originates by targeting a localized brain area and propagates to the rest of the brain across ...
• #### High order discontinuous finite-volume/finite-element method for CFD applications ﻿

(11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, 2014-12-31)
The proposed method naturally merges the desirable conservative properties and intuitive physical formulation of the widely used finite-volume (FV) technique, with the capability of local arbitrary high-order accuracy and ...
• #### High-accuracy adaptive modeling of the energy distribution of a meniscus-shaped cell culture in a Petri dish ﻿

(Journal of Computational Science, 2015-12-31)
Cylindrical Petri dishes embedded in a rectangular waveguide and exposed to a polarized electromagnetic wave are often used to grow cell cultures. To guarantee the success of these cultures, it is necessary to enforce that ...
• #### High-frequency analysis of the efficiency of a local approximate DtN2 boundary condition for prolate spheroidal-shaped boundaries ﻿

(Wave Motion, 2010-12-31)
The performance of the second-order local approximate DtN boundary condition suggested in [4] is investigated analytically when employed for solving high-frequency exterior Helmholtz problems with elongated scatterers. ...
• #### High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction ﻿

(International Journal of Computer Mathematics, 2013-12-31)
It is critical for a numerical scheme to obtain numerical results as accurate as possible with limited computational resources. Turbulent processes are very sensitive to numerical dissipation, which may dissipate the small ...
• #### Highly-accurate 5-axis flank CNC machining with conical tools ﻿

(The International Journal of Advanced Manufacturing Technology, 2018-04)
A new method for $5$-axis flank computer numerically controlled (CNC) machining using a predefined set of tappered ball-end-mill tools (aka conical) cutters is proposed. The space of lines that admit tangential motion of ...
• #### $hp$-Adaptive Simulation and Inversion of Magnetotelluric Measurements ﻿

(2015-12-18)
The magnetotelluric (MT) method is a passive exploration technique that aims at esti- mating the resistivity distribution of the Earth’s subsurface, and therefore at providing an image of it. This process is divided into ...
• #### Hydrodynamic identification of NAUTILUS FOWT platform from small scale tests ﻿

(2019)
A small-scale tank test campaign of the NAUTILUS offshore wind floating semisub-mersible platform was held at the Ifremer Deep Water Basin within the framework of the MaRINET 2 project. The support structure consists in ...
• #### Hypersingular integral equations over a disc: Convergence of a spectral method and connection with Tranter's method ﻿

(Journal of Computational and Applied Mathematics, 2014-12-31)
Two-dimensional hypersingular equations over a disc are considered. A spectral method is developed, using Fourier series in the azimuthal direction and orthogonal polynomials in the radial direction. The method is proved ...
• #### ICCS 2017 Workshop on Agent-Based Simulations, Adaptive Algorithms and Solvers ﻿

(Procedia Computer Science, 2017)
This workshop seeks to integrate results from different domains of computer science, computational science, and mathematics. We welcome simulation papers, either hard simulations using finite element or finite difference ...
• #### Identification of defects originated during the filling of cast pieces through particles modelling ﻿

(11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, 2014-12-31)
In casting processes, strong recirculation zones may trap air, gases and strip particles of sand off the mold affecting seriously the quality of the cast pieces. Especially during the filling of molten pieces with large ...