Listar GI-M2NICA - Artigos por autor "Bermúdez, Alfredo"
Mostrando ítems 1-8 de 8
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A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes
Benítez, Marta; Bermúdez, Alfredo; Fontán, Pedro; Martínez, Iván; Salgado, Pilar (Springer, 2024-05)[Abstract]: The aim of this work is to introduce a thermo-electromagnetic model for calculating the temperature and the power dissipated in cylindrical pieces whose geometry varies with time and undergoes large deformations; ... -
A second order characteristics finite element scheme for natural convection problems
Benítez, Marta; Bermúdez, Alfredo (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 ... -
Numerical Analysis of a Second Order Pure Lagrange--Galerkin Method for Convection-Diffusion Problems. Part II: Fully Discretized Scheme and Numerical Results
Benítez, Marta; Bermúdez, Alfredo (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 ... -
Numerical Analysis of a Second order Pure Lagrange–Galerkin Method for Convection-Diffusion Problems. Part I: Time Discretization
Benítez, Marta; Bermúdez, Alfredo (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 ... -
Pure Lagrangian and Semi-Lagrangian Finite Element Methods for the Numerical Solution of Convection-Diffusion Problems
Benítez, Marta; Bermúdez, Alfredo (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 ... -
Pure Lagrangian and semi-Lagrangian finite element methods for the numerical solution of Navier–Stokes equations
Benítez, Marta; Bermúdez, Alfredo (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 ... -
Second-Order Pure Lagrange-Galerkin Methods for Fluid-Structure Interaction Problems
Benítez, Marta; Bermúdez, Alfredo (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 ... -
Upwind Finite Element-PML Approximation of a Novel Linear Potential Model for Free Surface Flows Produced by a Floating Rigid Body
Bermúdez, Alfredo; Crego Martínez, Óscar; Prieto, A. (Elsevier, 2021)[Abstract] A novel linear potential model is presented to compute free surface flows of incompressible fluids produced by the motion of a floating rigid body in the presence of an underlying non-uniform flow. In particular, ...