5 papers
Convergence analysis of Schwarz-like methods for degenerate elliptic-parabolic equations
Monika Eisenmann, Eskil Hansen
Convergence is proven for Schwarz-like methods applied to degenerate elliptic-parabolic equations with a -structure. This family of PDEs, e.g., arises when modelling nonlinear d…
Convergence analysis of a full discretization of operator-valued differential Riccati equations
Eskil Hansen, Tony Stillfjord, Teodor Åberg
In recent previous work [E. Hansen, T. Stillfjord and T. Åberg, SIAM J. Numer. Anal., to appear], we analyzed the convergence of operator splitting methods applied to operator-valu…
Transmission problems and domain decompositions for non-autonomous parabolic equations on evolving domains
Amal Alphonse, Ana Djurdjevac, Emil Engström +1
Parabolic equations on evolving domains model a multitude of applications including various industrial processes such as the molding of heated materials. Such equations are numeric…
An abstract approach to the Robin-Robin method
Emil Engström, Eskil Hansen
Recently, their has been development of an abstract approach to the Robin--Robin method, enabling the treatment of linear and nonlinear elliptic and parabolic equations on Lipschit…
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…