A domain embedding method for Dirichlet problems in arbitrary space dimension
A domain splitting method for heat conduction problems in composite materials
A domain splitting method for heat conduction problems in composite materials
We consider a domain decomposition method for some unsteady heat conduction problem in composite structures. This linear model problem is obtained by homogenization of thin layers of fibres embedded into some standard material. For ease of presentation we consider the case of two space dimensions only. The set of finite element equations obtained by the backward Euler scheme is parallelized in a problem-oriented fashion by some noniterative overlapping domain splitting method, eventually enhanced...
A Donsker theorem to simulate one-dimensional processes with measurable coefficients
In this paper, we prove a Donsker theorem for one-dimensional processes generated by an operator with measurable coefficients. We construct a random walk on any grid on the state space, using the transition probabilities of the approximated process, and the conditional average times it spends on each cell of the grid. Indeed we can compute these quantities by solving some suitable elliptic PDE problems.
A double series variational method for a class of second kind Fredholm integral equations.
A double series variational method for a class of second kind Fredholm integral equations. (Summary).
A Dual Algorithm for Convex-Concave Data Smoothing by Cubic C2-Splines.
A dual algorithm for the minimal cost flow problem
A dual mesh method for a nonlocal thermistor problem.
A Dual Mixed Formulation for Non-isothermal Oldroyd–Stokes Problem
We propose a mixed formulation for non-isothermal Oldroyd–Stokes problem where the both extra stress and the heat flux’s vector are considered. Based on such a formulation, a dual mixed finite element is constructed and analyzed. This finite element method enables us to obtain precise approximations of the dual variable which are, for the non-isothermal fluid flow problems, the viscous and polymeric components of the extra-stress tensor, as well...
A duality principle for delay equations
A Factorization Method for the Solution of Constrained Linear Least Squares Problems Allowing Subsequent Data Changes.
A family of finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems
A family of discontinuous Galerkin mixed methods for nearly and perfectly incompressible elasticity∗
We introduce a family of mixed discontinuous Galerkin (DG) finite element methods for nearly and perfectly incompressible linear elasticity. These mixed methods allow the choice of polynomials of any order k ≥ 1 for the approximation of the displacement field, and of order k or k − 1 for the pressure space, and are stable for any positive value of the stabilization parameter. We prove the optimal convergence of the displacement and stress fields...
A family of discontinuous Galerkin mixed methods for nearly and perfectly incompressible elasticity
We introduce a family of mixed discontinuous Galerkin (DG) finite element methods for nearly and perfectly incompressible linear elasticity. These mixed methods allow the choice of polynomials of any order k ≥ 1 for the approximation of the displacement field, and of order k or k − 1 for the pressure space, and are stable for any positive value of the stabilization parameter. We prove the optimal convergence of the displacement and stress fields in both cases, with error estimates that are independent...
A family of discontinuous Galerkin mixed methods for nearly and perfectly incompressible elasticity∗
We introduce a family of mixed discontinuous Galerkin (DG) finite element methods for nearly and perfectly incompressible linear elasticity. These mixed methods allow the choice of polynomials of any order k ≥ 1 for the approximation of the displacement field, and of order k or k − 1 for the pressure space, and are stable for any positive value of the stabilization parameter. We prove the optimal convergence of the displacement and stress fields...
A Family of Higher Order Mixed Finite Element Methods for Plane Elasticity.
A Family of Mixed Finite Elements for Linear Elasticity.
A Family of Mixed Finite Elements for the Elasticity Problem.
A family of multistep methods to integrate orbits on spheres.