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We prove a priori anisotropic estimates for the L2 and H1 interpolation error on linear finite elements. The full information about the mapping from a reference element is employed to separate the contribution to the elemental error c ...
We present a formulation for accommodating defective boundary conditions for the incompressible Navier--Stokes equations where only averaged values are prescribed on measurable portions of the boundary. In particular we consider the case where the flow rat ...
Society for Industrial and Applied Mathematics2002
We investigate a one-dimensional model of blood flow in human arteries. In particular, we consider the case when an abrupt variation of mechanical characteristic of artery is caused by the presence of a vascular prosthesis. The derivations of the model and ...
For the analysis of flows in compliant vessels, we propose an approach to couple the original 3D equations with a convenient 1D model. This multi-scale strategy allows for a dramatic reduction of the computational complexity and is suitable for "absorbing" ...
Applications of mesh adaptation techniques could be found in the numerical solution of PDE's or in the optimal triangulation of surfaces for shape representation or graphic display. The scope of this work is to verify through numerical experiments the effe ...
We investigate some domain decomposition techniques to solve large scale aerodynamics problems on unstructured grids. Where implicit time advancing scheme are used, a large sparse linear system have to be solved at each step. To obtain good scalability and ...
In this work, we address the numerical solution of some non-linear problems arising in the time discretization of fluid–structure interaction problems with fully implicit schemes. At each time step, we have to solve a highly non-linear coupled system, sinc ...
Parallel computation of blood flow in a 1D model of human arterial network has been carried out employing a Taylor Galerkin finite element method. Message passing interface libraries have been used on Origin 2000 SGI machine. A Greedy strategy for load-dis ...
Moving from the anisotropic interpolation error estimates derived in Formaggia and Perotto, (2001), we provide here both a-priori and a-posteriori estimates for a generic elliptic problem. The a-priori result is deduced by following the standard finite ele ...
We develop an a-posteriori error estimation for the finite element simulation of an advection-diffusion problem with anisotropic meshes. The error analysis is carried out by exploiting some recent interpolation error estimates for anisotropic meshes within ...
