Browsing Computational Mathematics (CM) by Issue Date
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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 ... 
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 ... 
Intersecting invariant manifolds in spatial restricted threebody problems: Design and optimization of Earthtohalo transfers in the SunEarthMoon scenario
(20121231)This work deals with the design of transfers connecting LEOs with halo orbits around libration points of the EarthMoon CRTBP using impulsive maneuvers. Exploiting the coupled circular restricted threebody problem ... 
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 ... 
Editors' preface for the topical issue "Advances in Numerical Analysis and Numerical Linear Algebra"
(20121231)[No abstract available] 
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 ... 
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 ... 
A twolevel finite element discretization of the streamfunction formulation of the stationary quasigeostrophic equations of the ocean
(20131231)In this paper we proposed a twolevel finite element discretization of the nonlinear stationary quasigeostrophic equations, which model the wind driven large scale ocean circulation. Optimal error estimates for the twolevel ... 
Editors' preface for the topical issue "Numerical Methods for LargeScale Scientific Computing, II"
(20131231)[No abstract available] 
Editors' preface for the topical issue "Numerical Methods for LargeScale Scientific Computing, I"
(20131231)[No abstract available] 
An IMEX scheme combined with Richardson extrapolation methods for some reactiondiffusion equations
(20131231)An implicitexplicit (IMEX) method is combined with some socalled Richardson extrapolation (RiEx) methods for the numerical solution of reactiondiffusion equations with pure Neumann boundary conditions. The results are ... 
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 ... 
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. 
Rigorous numerics in floquet theory: Computing stable and unstable bundles of periodic orbits
(20131231)In this paper, a rigorous method to compute Floquet normal forms of fundamental matrix solutions of nonautonomous linear differential equations with periodic coefficients is introduced. The Floquet normal form of a fundamental ... 
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 BochevDohrmannGunzburger stabilization method for the primitive equations of the ocean
(20131231)We introduce a loworder stabilized discretization of the primitive equations of the ocean with highly reduced computational complexity. We prove stability through a specific infsup condition, and weak convergence to a ... 
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 ...