Browsing Computational Mathematics (CM) by Issue Date
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A stable discontinuous Galerkintype method for solving efficiently Helmholtz problems
(Computers and Structures, 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 ... 
A modified discontinuous Galerkin method for solving efficiently Helmholtz problems
(Communications in Computational Physics, 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 ... 
Regions of prevalence in the coupled restricted threebody problems approximation
(Communications in Nonlinear Science and Numerical Simulation, 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 ... 
Discrete maximum principles for nonlinear parabolic PDE systems
(IMA Journal of Numerical Analysis, 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 ... 
Computational fixedpoint theory for differential delay equations with multiple time lags
(Journal of Differential Equations, 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 ... 
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 ... 
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 ... 
Computation of slat noise sources using adaptive FEM and lighthill's analogy
(19th AIAA/CEAS Aeroacoustics Conference, 20131231)This is a summary of preliminary results from simulations with the 30P30N highlift device. We used the General Galerkin finite element method (G2), where no explicit subgrid model is used, and where the computational mesh ... 
Editors' preface for the topical issue "Numerical Methods for LargeScale Scientific Computing, II"
(Central European Journal of Mathematics, 20131231)[No abstract available] 
Editors' preface for the topical issue "Numerical Methods for LargeScale Scientific Computing, I"
(Central European Journal of Mathematics, 20131231)[No abstract available] 
A variational finite element model for largeeddy simulations of turbulent flows
(Chinese Annals of Mathematics. Series B, 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 ... 
A BochevDohrmannGunzburger stabilization method for the primitive equations of the ocean
(Applied Mathematics Letters, 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 ... 
An IMEX scheme for reactiondiffusion equations: Application for a PEM fuel cell model
(Central European Journal of Mathematics, 20131231)An implicitexplicit (IMEX) method is developed for the numerical solution of reactiondiffusion equations with pure Neumann boundary conditions. The corresponding method of lines scheme with finite differences is analyzed: ... 
Local nonobtuse tetrahedral refinements around an edge
(Applied Mathematics and Computation, 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
(Springer Proceedings in Mathematics and Statistics, 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. © Springer Science+Business Media New York 2013. 
Efficient rigorous numerics for higherdimensional PDEs via onedimensional estimates
(SIAM Journal on Numerical Analysis, 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 ... 
Rigorous numerics in floquet theory: Computing stable and unstable bundles of periodic orbits
(SIAM Journal on Applied Dynamical Systems, 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 ... 
On continuous and discrete maximum principles for elliptic problems with the third boundary condition
(Applied Mathematics and Computation, 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 ... 
Singular dynamics under a weak potential on a sphere
(Nonlinear Differential Equations and Applications, 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 ... 
An IMEX scheme combined with Richardson extrapolation methods for some reactiondiffusion equations
(Idojaras, 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 ...