Browsing Computational Mathematics (CM) by Issue Date
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Exponential decay of highorder spurious prolate spheroidal modes induced by a local approximate dtn exterior boundary condition
(20121231)We investigate analytically the asymptotic behavior of highorder spurious prolate spheroidal modes induced by a secondorder local approximate DtN absorbing boundary condition (DtN2) when employed for solving highfrequency ... 
Computational fixedpoint theory for differential delay equations with multiple time lags
(20121231)We introduce a general computational fixedpoint method to prove existence of periodic solutions of differential delay equations with multiple time lags. The idea of such a method is to compute numerical approximations of ... 
A modified discontinuous Galerkin method for solving efficiently Helmholtz problems
(20121231)A new solution methodology is proposed for solving efficiently Helmholtz problems. The proposed method falls in the category of the discontinuous Galerkin methods. However, unlike the existing solution methodologies, this ... 
The maximum angle condition is not necessary for convergence of the finite element method
(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 ... 
Discrete maximum principles for nonlinear parabolic PDE systems
(20121231)Discrete maximum principles (DMPs) are established for finite element approximations of systems of nonlinear parabolic partial differential equations with mixed boundary and interface conditions. The results are based on ... 
A stable discontinuous Galerkintype method for solving efficiently Helmholtz problems
(20121231)We propose a stable discontinuous Galerkintype method (SDGM) for solving efficiently Helmholtz problems. This mixedhybrid formulation is a twostep procedure. Step 1 consists in solving wellposed problems at the element ... 
Editors' preface for the topical issue "Advances in Numerical Analysis and Numerical Linear Algebra"
(20121231)[No abstract available] 
Regions of prevalence in the coupled restricted threebody problems approximation
(20121231)This work concerns the role played by a couple of the planar circular restricted threebody problem in the approximation of the bicircular model. The comparison between the differential equations governing the dynamics ... 
Sensitivity Analysis for the Appraisal of Hydrofractures in Horizontal Wells with Borehole Resistivity Measurements
(201306)This paper numerically evaluates the possibility of using borehole electromagnetic (EM) measurements to diagnose and quantify hydraulic fractures that have been arti ficially generated in a horizontal well. Hydrofractures ... 
Influence of boreholeeccentred tools on wireline and loggingwhiledrilling sonic logging measurements
(201306)We describe a numerical study to quantify the influence of tooleccentricity on wireline and loggingwhiledrilling (LWD) sonic logging measurements. Simulations are performed with a hpadaptive Fourier FiniteElement ... 
On continuous and discrete maximum principles for elliptic problems with the third boundary condition
(20131231)In this work, we present and discuss some continuous and discrete maximum principles for linear elliptic problems of the second order with the third boundary condition (almost never addressed to in the available literature ... 
Framework for adaptive fluidstructure interaction with industrial applications
(20131231)We present developments in the UnicornHPC framework for unified continuum mechanics, enabling adaptive finite element computation of fluidstructure interaction, and an overview of the larger FEniCSHPC framework for ... 
Singular dynamics under a weak potential on a sphere
(20131231)We give a detailed analytical description of the global dynamics of a point mass moving on a sphere under the action of a logarithmic potential. We perform a McGeheetype blowup in order to cope with the singularity of ... 
Efficient rigorous numerics for higherdimensional PDEs via onedimensional estimates
(20131231)We present an efficient rigorous computational method which is an extension of the work Analytic Estimates and Rigorous Continuation for Equilibria of HigherDimensional PDEs (M. Gameiro and J.P. Lessard, J. Differential ... 
On Conforming Tetrahedralisations of Prismatic Partitions
(20131231)We present an algorithm for conform (facetoface) subdividing prismatic partitions into tetrahedra. This algorithm can be used in the finite element calculations and analysis. 
Local nonobtuse tetrahedral refinements around an edge
(20131231)In this note we show how to generate and conformly refine nonobtuse tetrahedral meshes locally around and towards an edge so that all dihedral angles of all resulting tetrahedra remain nonobtuse. The proposed technique can ... 
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with nonmonotone coupling
(20131231)Discrete nonnegativity principles are established for finite element approximations of nonlinear parabolic PDE systems with mixed boundary conditions. Previous results of the authors are extended such that diagonal dominance ... 
Editors' preface for the topical issue "Numerical Methods for LargeScale Scientific Computing, I"
(20131231)[No abstract available] 
Highorder mixed weighted compact and noncompact scheme for shock and small length scale interaction
(20131231)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 ... 
A variational finite element model for largeeddy simulations of turbulent flows
(20131231)The authors introduce a new Large Eddy Simulation model in a channel, based on the projection on finite element spaces as filtering operation in its variational form, for a given triangulation {T h}h>0. The eddy viscosity ...