Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
Concepts—An object-oriented software package for partial differential equations
Object oriented design has proven itself as a powerful tool in the field of scientific computing. Several software packages, libraries and toolkits exist, in particular in the FEM arena that follow this design methodology providing extensible, reusable, and flexible software while staying competitive to traditionally designed point tools in terms of efficiency. However, the common approach to identify classes is to turn data structures and algorithms of traditional implementations into classes such...
Concepts—An Object-Oriented Software Package for Partial Differential Equations
Object oriented design has proven itself as a powerful tool in the field of scientific computing. Several software packages, libraries and toolkits exist, in particular in the FEM arena that follow this design methodology providing extensible, reusable, and flexible software while staying competitive to traditionally designed point tools in terms of efficiency. However, the common approach to identify classes is to turn data structures and algorithms of traditional implementations into ...
Condition number analysis for various forms of block matrix preconditioners.
Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
Conforming simplicial partitions of product-decomposed polytopes
We propose some approaches for the generation of conforming simplicial partitions with various regularity properties for polytopic domains that are products or a union of products, thus generalizing our earlier results. The techniques presented can be used for finite element simulations of higher-dimensional problems.
Connection between finite volume and mixed finite element methods
Construction d’une base de fonctions non conforme à divergence nulle dans
Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticity.
Construction of Basic Functions for Numerical Utilisation of Ritz's Method.
Constructive Sobolev gradient preconditioning for semilinear elliptic systems.
Contact between elastic bodies. II. Finite element analysis
The paper deals with the approximation of contact problems of two elastic bodies by finite element method. Using piecewise linear finite elements, some error estimates are derived, assuming that the exact solution is sufficiently smooth. If the solution is not regular, the convergence itself is proven. This analysis is given for two types of contact problems: with a bounded contact zone and with enlarging contact zone.
Contact between elastic bodies. III. Dual finite element analysis
The problem of a unilateral contact between elastic bodies with an apriori bounded contact zone is formulated in terms of stresses via the principle of complementary energy. Approximations are defined by means of self-equilibriated triangular block-elements and an -error estimate is proven provided the exact solution is regular enough.
Contact problem of two elastic bodies. II
The goal of the paper is the study of the contact problem of two elastic bodies which is applicable to the solution of displacements and stresses of the earth continuum and the tunnel wall. In this first part the variational formulation of the continuous and discrete model is stated. The second part covers the proof of convergence of finite element method to the solution of continuous problem while in the third part some practical applications are illustrated.
Continuous approximation of time-periodic solutions of a linear parabolic equation
Continuous-time finite element analysis of multiphase flow in groundwater hydrology
A nonlinear differential system for describing an air-water system in groundwater hydrology is given. The system is written in a fractional flow formulation, i.e., in terms of a saturation and a global pressure. A continuous-time version of the finite element method is developed and analyzed for the approximation of the saturation and pressure. The saturation equation is treated by a Galerkin finite element method, while the pressure equation is treated by a mixed finite element method. The analysis...
Contractivity of Locally One-Dimensional Splitting Methods.
Contribution à la résolution numérique des équations de Laplace et de la chaleur
Control of Stefan Problems by Means of Linear-Quadratic Defect Minimization.
Convergence analysis for an exponentially fitted finite volume method