2 papers
math.NA2021
Natural Factor Based Solvers
O. Andrés Cuervo, Juan Galvis, Marcus Sarkis
We consider parametric families of partial differential equations--PDEs where the parameter modifies only the (1,1) block of a saddle point matrix product of a discretization b…
math.NA2020
From Additive Average Schwarz Methods to Non-overlapping Spectral Additive Schwarz Methods
Yi Yu, Maksymilian Dryja, Marcus Sarkis
In this paper, we design and analyze two new methods based on additive average Schwarz -- AAS method introduced in \cite{MR1943457}. The new methods design for elliptic problems wi…