A. Krebsz

6506117892

Publications - 2

On the relational database type numerical programming

B. Kiss A. Krebsz

Publication Name: Proceedings of the Third International Conference on Engineering Computational Technology

Publication Date: 2002-12-01

Volume: Unknown

Issue: Unknown

Page Range: 127-128

Description:

The numerical algorithms became quite complex and require dynamic data structures. As such, an advanced front (AF) algorithm which is a well-known and efficient algorithm of the non-structural mesh generation is given. An accelerated version of this algorithm is presented as an example to demonstrate, that a simplified relational database model is an efficient tool for handling dynamic data structures arising from numerical problems. The main advantage of this technique is the simple and uniform data structure and the application of the balanced trees for searching and modification.

Open Access: Yes

DOI: DOI not available

On the Schur component preconditioners

B. Kiss A. Krebsz

Publication Name: Computers and Structures

Publication Date: 1999-01-01

Volume: 73

Issue: 1-5

Page Range: 537-544

Description:

Some representations of the H 1/2 norm are used as Schur complement preconditioners in PCG-based domain decomposition algorithms for elliptic problems. These norm representations are efficient preconditioners. Here we give a new matrix representation of the Ha (0 < a < 1) norms by a special sparse Toeplitz matrix. It contains O(log(N)) non-zero entries at each row, where N is the number of rows. The special properties of this matrix ensure that it can be used as preconditioner. This is proved by estimating spectral equivalence constants and this fact has also been verified by numerical tests.

Open Access: Yes

DOI: 10.1016/S0045-7949(98)00258-2