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A second order characteristics finite element scheme for natural convection problems
(Elsevier, 2011-01-31)
[Abstract]: In this paper a second order characteristics finite element scheme is applied to the numerical solution of natural convection problems. Firstly, after recalling the mathe-matical model, a second order time ...
Second-Order Pure Lagrange-Galerkin Methods for Fluid-Structure Interaction Problems
(SIAM, Society for Industrial and Applied Mathematics, 2015-09-30)
[Abstract]: In this paper we propose a second order (both in time and in space) pure Lagrange-Galerkin method for
the numerical solution of fluid-structure interaction problems. The proposed scheme is written in material ...
Numerical Analysis of a Second Order Pure Lagrange--Galerkin Method for Convection-Diffusion Problems. Part II: Fully Discretized Scheme and Numerical Results
(SIAM, Society for Industrial and Applied Mathematics, 2012-11-01)
[Abstract]: We analyze a second order pure Lagrange-Galerkin method for variable coefficient
convection-(possibly degenerate) diffusion equations with mixed Dirichlet-Robin boundary conditions.
In a previous paper the ...
Pure Lagrangian and semi-Lagrangian finite element methods for the numerical solution of Navier–Stokes equations
(Elsevier, Institute for Mathematics and Computer Science (IMACS), 2015-05-26)
[Abstract]: In this paper we propose a unified formulation to introduce Lagrangian and semi-Lagrangian velocity and displacement methods for solving the Navier–Stokes equations. This formulation allows us to state classical ...
Pure Lagrangian and Semi-Lagrangian Finite Element Methods for the Numerical Solution of Convection-Diffusion Problems
(University of Alberta, Northwestern Polytechnical University, Institute for Scientific Computing, 2014)
[Abstract]: In this paper we propose a unified formulation to introduce and analyze (pure) Lagrangian and semi-Lagrangian methods for solving convection-diffusion partial differential equations. This formulation allows us ...
Numerical Analysis of a Second order Pure Lagrange–Galerkin Method for Convection-Diffusion Problems. Part I: Time Discretization
(SIAM, Society for Industrial and Applied Mathematics, 2012-04-17)
[Abstract]: We propose and analyze a second order pure Lagrangian method for variable coefficient convection-(possibly degenerate) diffusion equations with mixed Dirichlet-Robin boundary conditions. First, the method is ...