most citedLinearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations

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math.NA2023

Modified Neumann-Neumann methods for semi- and quasilinear elliptic equations

Emil Engström, Eskil Hansen

The Neumann--Neumann method is a commonly employed domain decomposition method for linear elliptic equations. However, the method exhibits slow convergence when applied to semiline…

math.NA2023★ 1 cited

Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations

Emil Engström, Eskil Hansen

We prove linear convergence for a new family of modified Dirichlet--Neumann methods applied to quasilinear parabolic equations, as well as the convergence of the Robin--Robin metho…