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math.NA2024
A-posteriori-steered -robust multigrid and domain decomposition methods with optimal step-sizes for mixed finite element discretizations of elliptic problems
Ani Miraçi, Jan Papež, Martin Vohralík +1
In this work, we develop algebraic solvers for linear systems arising from the discretization of second-order elliptic partial differential equations by saddle-point mixed finite e…
math.NA2024★ 4 cited
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs
Maximilian Brunner, Dirk Praetorius, Julian Streitberger
We consider scalar semilinear elliptic PDEs, where the nonlinearity is strongly monotone, but only locally Lipschitz continuous. To linearize the arising discrete nonlinear problem…