We describe a domain decomposition algorithm for use in the parallel adaptive meshing paradigm of Bank and Holst. Our algorithm has low communication , makes extensive use of existing sequential solvers, and exploits in several important ways data generated as part of the adaptive meshing paradigm. Numerical examples illustrate the effectiveness of the procedure. In [4, 5], we introduced a gene...

geboren te Breda. This work was carried out in the ASCI graduate school. ASCI dissertation series number 194.

This paper proposes a mortar finite element method for solving the two-dimensional second-order elliptic problem with jumps in coefficients across the interface between two subregions. Non-matching finite element grids are allowed on the interface, so independent triangulations can be used in different subregions. Explicitly realizable mortar conditions are introduced to couple the individual d...

The magnetoresistance of a one-dimensional electron gas in a metallic ferromagnetic nanowire containing two atomic-size domain walls has been investigated in the presence of spin-orbit interaction. The magnetoresistance is calculated in the ballistic regime, within the Landauer-Büttiker formalism. It has been demonstrated that the conductance of a magnetic nanowire with double domain walls...

In this paper, we propose a method of applying the Q-Morph to the closed three-dimensional triangular mesh. The Q-Morph is the method in order to transform the triangular mesh to the quadrilateral mesh. The Q-morph begins quadrilateral transformation from the initial front edges which are usually the boundary of the 2D domain. Also, the Q-Morph can be applied to the 3D domain. But, the closed 3...

We describe a technique to generate structurally aligned triangular grids. The main advantage of this method is the adjustable propagating speed of the front in different parts of the simulation domain in order to achieve different densities of triangles in each part of the simulation domain. This feature is usually needed in semiconductor device simulation. Other advantages of this technique a...

Customizable triangular factorizations of matrices find their applications in computer graphics and lossless transform coding. In this paper, we prove that any N ×N nonsingular matrix A can be factorized into 3 triangular matrices, A = PLUS, where P is a permutation matrix, L is a unit lower triangular matrix, U is an upper triangular matrix of which the diagonal entries are customizable and ca...

We consider an evolution algebra which corresponds to a bisexual population with a set of females partitioned into finitely many different types and the males having only one type. For such algebras in terms of its structure constants we calculate right and plenary periods of generator elements. Some results on subalgebras of EACP and ideals on low-dimensional EACP are obtained.