Concept

Galerkin method

Related publications (377)

Krylov subspace methods for linear systems with tensor product structure

The numerical solution of linear systems with certain tensor product structures is considered. Such structures arise, for example, from the finite element discretization of a linear PDE on a d-dimensional hypercube. Linear systems with tensor product struc ...

Society for Industrial and Applied Mathematics2009

Reduced Basis Methods and A Posteriori Error Estimators for Heat Transfer Problems

Simone Deparis, Gianluigi Rozza

This paper focuses on the parametric study of steady and unsteady forced and natural convection problems by the certified reduced basis method. These problems are characterized by an input-output relationship in which given an input parameter vector — mate ...

ASME2009

Assessment of the Computational Performances of the Semi-Analytical Method (SAM) for Computing 2-D Current distributions in Superconductors

Frédéric Sirois, François Roy, Bertrand Dutoit

The semi-analytical method (SAM) is a fast integral technique for solving small 2-D, time-transient electromagnetic problems in high temperature superconductors (HTS) with transport current and/or applied field. The method in itself is a generalization of ...

2009

Reduced basis methods for Stokes equations in domains with non-affine parameter dependence

Gianluigi Rozza

In this paper we deal with reduced basis techniques applied to Stokes equations. We consider domains with different shape, parametrized by affine and non-affine maps with respect to a reference domain. The proposed method is ideally suited for the repeated ...

Springer-Verlag2009

Distributed intelligent algorithms for robotic sensor networks monitoring discontinuous anisotropic environmental fields

Christopher Cianci

Robotic sensor networks, at the junction between distributed robotics and wireless sensor networks, represent a strategic convergence between mobile and networked systems. In this thesis, we have begun to explore this crossover, and where possible, to brin ...

EPFL2009

Removing Local Irregularities of Triangular Meshes with Highlight Line Models

Bailin Deng

The highlight line model is a powerful tool in assessing the quality of a surface. It increases the flexibility of an interactive design environment. In this paper, a method to generate a highlight line model on an arbitrary triangular mesh is presented. B ...

2009

Dihedral Angles in Cu-1wt.%Pb: Grain Boundary Energy and Grain Boundary Triple Line Effects

Andreas Mortensen, Vincent Laporte, Laurent Felberbaum, Doris Empl

The dihedral angle shown by intergranular lead inclusions in Cu-1 wt.% Pb alloys is measured varying the purity of the metal and the temperature. Several measurement methods are used and compared, namely classical two-dimensional (2D) methods based on meta ...

2009

Techniques for generating centimetric drops in microgravity and application to cavitation studies

Mohamed Farhat, Nicolas Dorsaz, Danail Obreschkow, Philipp Kobel, Aurèle De Bosset

This paper describes the techniques and physical parameters used to produce stable centimetric water drops in microgravity, and to study single cavitation bubbles inside such drops (Parabolic Flight Campaigns, European Space Agency ESA). While the main sci ...

2009

Finite-element preconditioning of G-NI spectral methods

Alfio Quarteroni

Several old and new finite-element preconditioners for nodal-based spectral discretizations of −laplace(u) = f in the domain

\Omega = (-1, 1)^d

(d = 2 or 3), with Dirichlet or Neumann boundary conditions, are considered and compared in terms of bothcondi ...

2009

Optimization design of a linear actuator using a genetic algorithm

Yves Perriard, Miroslav Markovic, Joël Maridor

This paper presents a method to optimize two linear actuator configurations. The method is stochastic and combines a genetic algorithm (GA) and FEM (finite element method) model generated with the commercial software FEMM. The optimization is performed in ...

2009

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Finite-element preconditioning of G-NI spectral methods

Alfio Quarteroni

Several old and new finite-element preconditioners for nodal-based spectral discretizations of −laplace(u) = f in the domain

\Omega = (-1, 1)^d

(d = 2 or 3), with Dirichlet or Neumann boundary conditions, are considered and compared in terms of bothcondi ...

2009