Domain decomposition methods constitute a fundamental strategy in numerical analysis, enabling the partitioning of large and complex computational problems into smaller, more manageable sub-problems.

Adaptive finite element methods (AFEM) represent a pivotal advancement in numerical analysis by dynamically refining computational meshes to achieve greater solution accuracy. These methods are ...

SIAM Journal on Numerical Analysis, Vol. 25, No. 6 (Dec., 1988), pp. 1213-1236 (24 pages) A domain decomposition method for second-order elliptic problems is considered. An iterative procedure that ...

We present a monotone waveform relaxation algorithm which produces very tight upper and lower bounds of the transient response of a class of systems described by nonlinear differential-algebraic ...