We propose robust coarse spaces for two-level overlapping Schwarz preconditioners, which are extensions of the energy minimizing coarse space known as GDSW (Generalized Dryja, Smith, Widlund). The resulting two-level methods with adaptive coarse spaces are robust for second order elliptic problems in two dimensions, even in presence of a highly heterogeneous coefficient function, and reduce to the standard GDSW algorithm if no additional coarse basis functions are used.
|Title of host publication||Lecture Notes in Computational Science and Engineering|
|Publisher||Springer-Verlag London Ltd|
|Number of pages||10|
|Publication status||Published - 2018|
|Name||Lecture Notes in Computational Science and Engineering|