#### Filter Results:

- Full text PDF available (3)

#### Publication Year

2012

2016

- This year (0)
- Last 5 years (4)
- Last 10 years (4)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

We study the question of approximability of the inverse of the FEM stiffness matrix for the Laplace problem with Dirichlet boundary conditions by blockwise low rank matrices such as those given by the H-matrix format introduced in [Hac99]. We show that exponential convergence in the local block rank r can be achieved. Unlike prior works [BH03, Bör10a], our… (More)

- Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
- Math. Comput.
- 2016

We consider the question of approximating the inverse W = V of the Galerkin stiffness matrix V obtained by discretizing the simple-layer operator V with piecewise constant functions. The block partitioning of W is assumed to satisfy any of the standard admissibility criteria that are employed in connection with clustering algorithms to approximate the… (More)

- Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
- Numerische Mathematik
- 2015

We consider discretizations of the hyper-singular integral operator on closed surfaces and show that the inverses of the corresponding system matrices can be approximated by blockwise low-rank matrices at an exponential rate in the block rank. We cover in particular the data-space format of H-matrices. We show the approximability result for two types of… (More)

- ‹
- 1
- ›