Domain decomposition algorithms for first-order system least squares methods.
Additive Schwarz methods for the p-version finite element method.
Neumann-Neumann algorithms for spectral elements in three dimensions
Domain decomposition methods and scientific computing applications
This paper reviews the basic mathematical ideas and convergence analysis of domain decomposition methods. These are parallel and scalable iterative methods for the efficient numerical solution of partial differential equations. Two examples are then presented showing the application of domain decomposition methods to large-scale numerical simulations in computational mechanics and electrocardiology.
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