3 papers
math.NA2026
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 VohralÃk +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.NA2025
Local L2-bounded commuting projections using discrete local problems on Alfeld splits
Alexandre Ern, Johnny Guzman, Pratyush Potu +1
We construct projections onto the classical finite element spaces based on Lagrange, Nédélec, Raviart-Thomas, and discontinuous elements on shape-regular simplicial meshes. Our p…
math.NA2025
A quasi-interpolation operator yielding fully computable error bounds
T. Chaumont-Frelet, M. Vohralik
We design a quasi-interpolation operator from the Sobolev space to its finite-dimensional finite element subspace formed by piecewise polynomials on a simplicial mesh w…