Parallel Solution of Partial Differential Equations

This volume contains papers on the development and assessment of new approximation and solution techniques that can take advantage of parallel computers. Parallel computers offers the promise of greatly increased performance and the routine calculation of previously intractable problems. The work will be of interest to applied mathematicians, computer scientists, and engineers concerned with investigating the state-of-the-art and future directions in numerical computing.

Inhalt
Iterative substructuring methods for spectral element discretizations of elliptic systems in three dimensions.- Parallel linear stationary iterative methods.- Adaptive finite element methods for domain decomposition on nonmatching grids.- Solution of multi-dimensional radiative transfer problems on parallel computers.- A Lagrange multiplier/fictitious domain/collocation method for solid-liquid flows.- Multidimensional parallel spectral solver for Navier-Stokes equations.- An overlapping Schwarz method for spectral element simulation of three-dimensional incompressible flows.- Overlapping and multilevel Schwarz methods for vector valued elliptic problems in three dimensions.- Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations.- Scalable Poisson and VLSI biharmonic solvers.- Prospects for CFD on petaflops systems.- Additive Schwarz for anisotropic elliptic problems.- List of participants.