336 GASTALDI , GASTALDI & QUARTERONI 3 Iterative Algorithms for Domain

Additive Schwarz Methods for Hyperbolic Equations

In recent years there has been gratifying progress in the development of domain decomposition algorithms for symmetric and nonsymmetric elliptic problems and even some inde nite problems Many methods possess the attractive property that the convergence rate is optimal i e independent of the size of the discrete problem and of the number of subdomains or within a polylog factor of optimal There ...

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Analysis and simulation of a coupled hyperbolic/parabolic model problem

We investigate a periodic, one-dimensional, linear, and degenerate advection-diffusion equation. The problem is hyperbolic in a subinterval and parabolic in the complement, and the boundary conditions only impose the periodicity of the advective-diffusive flux to ensure mass conservation. Following Gastaldi and Quarteroni (1989), a condition is added to select the “physically acceptable” soluti...

On the Q 2 � P 1 Element for Stokes

Stability and Geometric Conservation Laws for Ale Formulations