Browsing Computational Mathematics (CM) by Title
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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 ... 
A Geometric Toolbox for Tetrahedral Finite Element Partitions
(Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations, 20111231)In this work we present a survey of some geometric results on tetrahedral partitions and their refinements in a unified manner. They can be used for mesh generation and adaptivity in practical calculations by the finite ... 
A hybrid method for inversion of 3D DC resistivity logging measurements
(Natural Computing, 20141231)This paper focuses on the application of hp hierarchic genetic strategy (hpHGS) for solution of a challenging problem, the inversion of 3D direct current (DC) resistivity logging measurements. The problem under consideration ... 
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 ... 
A Nonuniform Staggered Cartesian Grid approach for LatticeBoltzmann method
(Procedia Computer Science, 20151231)We propose a numerical approach based on the LatticeBoltzmann method (LBM) for dealing with mesh refinement of Nonuniform Staggered Cartesian Grid. We explain, in detail, the strategy for mapping LBM over such geometries. ... 
A posteriori error analysis of a stabilized mixed FEM for convectuiondiffusion problems
(AIMS Proceedings, 2015, 20151231)We present an augmented dualmixed variational formulation for a linear convectiondiffusion equation with homogeneous Dirichlet boundary conditions. The approach is based on the addition of suitable least squares type ... 
A posteriori error analysis of an augmented mixed finite element method for Darcy flow
(Computer Methods in Applied Mechanics and Engineering, 20151231)We develop an a posteriori error analysis of residual type of a stabilized mixed finite element method for Darcy flow. The stabilized formulation is obtained by adding to the standard dualmixed approach suitable residual ... 
A Secondary Field Based hpFinite Element Method for the Simulation of Magnetotelluric Measurements
(Journal of Computational Science, 20151231)In some geophysical problems, it is sometimes possible to divide the subsurface resistivity distribution as a one dimensional (1D) contribution plus some two dimensional (2D) inhomogeneities. Assuming this scenario, we ... 
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 study of the apsidal angle and a proof of monotonicity in the logarithmic potential case
(Journal of Mathematical Analysis and Applications, 20141231)This paper concerns the behaviour of the apsidal angle for orbits of central force system with homogeneous potential of degree $2 \le \alpha \le 1$ and logarithmic potential. We derive a formula for the apsidal angle as ... 
A twolevel finite element discretization of the streamfunction formulation of the stationary quasigeostrophic equations of the ocean
(Computers and Mathematics with Applications, 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 ... 
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 ... 
Accelerating fluidsolid simulations (LatticeBoltzmann & ImmersedBoundary) on heterogeneous architectures
(Journal of Computational Science, 20151231)We propose a numerical approach based on the LatticeBoltzmann (LBM) and Immersed Boundary (IB) methods to tackle the problem of the interaction of solids with an incompressible fluid flow, and its implementation on ... 
Adaptive Direct FEM Simulation with Unicorn/FEniCSHPC for CS1
(5th International Workshop on High Order CFD Methods, 20180101) 
Adaptive simulation of unsteady flow past the submerged part of a floating wind turbine platform
(MARINE 2015  Computational Methods in Marine Engineering VI, 20151231)Offshore floating platforms for wind turbines represent challenging concepts for designers trying to combine an optimal compromise between cost effectiveness and performance. Modelling of the hydrodynamic behaviour of the ... 
Aerodynamic study of a tricycle wheel subsystem for drag reduction
(Journal of Fluids Engineering, 20141231)This paper deals with a computational fluid dynamics (CFD) and experimental drag analysis on an isolated rotating wheel subsystem (including its accessories: tire, suspension, Aarms, and fender) of a motor tricycle vehicle ... 
An AgentOriented Hierarchic Strategy for Solving Inverse Problems
(International Journal of Applied Mathematics and Computer Science, 20151231)The paper discusses the complex, agentoriented hierarchic memetic strategy (HMS) dedicated to solving inverse parametric problems. The strategy goes beyond the idea of twophase global optimization algorithms. The global ... 
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 ... 
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: ... 
Analysis of extreme wave events on the southern coast of Brazil
(Natural Hazards and Earth System Sciences, 20141231)Using the wave model SWAN (simulating waves nearshore), high waves on the southwestern Atlantic generated by extratropical cyclones are simulated from 2000 to 2010, and their impact on the Rio Grande do Sul (RS) coast is ...