A Discrete Sampling Inversion Scheme for the Heat Equation.
A Discrete Solenoidal Finite Difference Scheme for the Numerical Approximation of Incompressible Flows.
A discrete wavelet analysis of freak waves in the ocean.
A dissipative Galerkin method applied to some quasilinear hyperbolic equations
A Divide and Conquer Method for the Symmetric Tridiagonal Eigenproblem.
A Divide and Conquer Method for Unitary and Orthogonal Eigenproblems.
A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation
The paper deals with an iterative method for numerical solving frictionless contact problems for two elastic bodies. Each iterative step consists of a Dirichlet problem for the one body, a contact problem for the other one and two Neumann problems to coordinate contact stresses. Convergence is proved by the Banach fixed point theorem in both continuous and discrete case. Numerical experiments indicate scalability of the algorithm for some choices of the relaxation parameter.
A domain decomposition algorithm for elliptic problems in three dimensions.
A domain decomposition analysis for a two-scale linear transport problem
We present a domain decomposition theory on an interface problem for the linear transport equation between a diffusive and a non-diffusive region. To leading order, i.e. up to an error of the order of the mean free path in the diffusive region, the solution in the non-diffusive region is independent of the density in the diffusive region. However, the diffusive and the non-diffusive regions are coupled at the interface at the next order of approximation. In particular, our algorithm avoids iterating...
A Domain Decomposition Analysis for a Two-Scale Linear Transport Problem
We present a domain decomposition theory on an interface problem for the linear transport equation between a diffusive and a non-diffusive region. To leading order, i.e. up to an error of the order of the mean free path in the diffusive region, the solution in the non-diffusive region is independent of the density in the diffusive region. However, the diffusive and the non-diffusive regions are coupled at the interface at the next order of approximation. In particular, our algorithm avoids iterating...
A domain decomposition method for approximating the conformal modules of long quadrilaterals.
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.