49 citations · 137 across the 15 of their papers we have counts for
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math.NA2022★ 1 cited
A fully algebraic and robust two-level Schwarz method based on optimal local approximation spaces
Alexander Heinlein, Kathrin Smetana
Two-level domain decomposition preconditioners lead to fast convergence and scalability of iterative solvers. However, for highly heterogeneous problems, where the coefficient func…
math.NA2022★ 1 cited
Randomized quasi-optimal local approximation spaces in time
Julia Schleuß, Kathrin Smetana, Lukas ter Maat
We target time-dependent partial differential equations (PDEs) with heterogeneous coefficients in space and time. To tackle these problems, we construct reduced basis/ multiscale a…
math.NA2022★ 2 cited
Localized model reduction for nonlinear elliptic partial differential equations: localized training, partition of unity, and adaptive enrichment
Kathrin Smetana, Tommaso Taddei
We propose a component-based (CB) parametric model order reduction (pMOR) formulation for parameterized {nonlinear} elliptic partial differential equations (PDEs). CB-pMOR is desig…