3 papers
math.NA2025
An overlapping domain decomposition method based on solution-transfer operators
Simon Dirckx, Anna Yesypenko, Per-Gunnar Martinsson
An overlapping domain decomposition method is described for variable-coefficient elliptic boundary value problems on domains that can be decomposed into slabs or shells. The method…
math.NA2025
A Two-Level Direct Solver for the Hierarchical Poincaré-Steklov Method
Joseph Kump, Anna Yesypenko, Per-Gunnar Martinsson
We introduce a two-level direct solver for the Hierarchical Poincaré-Steklov (HPS) method for solving linear elliptic PDEs. HPS combines multidomain spectral collocation with a dir…
math.NA2025
Randomized Block Low-Rank Matrix Compression by Tagging
Katherine J. Pearce, Anna Yesypenko, James Levitt +1
In this work, we present randomized compression algorithms for flat rank-structured matrices with shared bases, termed uniform Block Low-Rank (BLR) matrices. Our main contribution…