The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

When unknowns are spatially grouped for electrically large bodies, the blocked method of
moments (MoM) Z matrix and its LU factors are comprised of blocks which can be well …

In this paper a fast solver for three-dimensional BEM and DBEM is developed. The
technique is based on the use of hierarchical matrices for the representation of the …

Using an H 2 matrix as the mathematical framework, we compactly represent a dense
system matrix by a reduced set of parameters, thus enabling a significant reduction in …

We discuss a scheme for hierarchical matrices with adaptive cross approximation on
symmetric multiprocessing clusters. We propose a set of parallel algorithms that are …

Formulas are derived giving the vector potential and the magnetic field components of a
general coil of rectangular cross section and constant winding density. The solution is given …

Electro-quasistatic as well as electrostatic simulations of 3D high-voltage (HV) technical
devices are presented using a symmetric coupled formulation of both the finite-element …

This paper presents numerical experiments in applying a new technique for matrix
compression and preconditioning to boundary element method (BEM)-based eddy-current …

We propose an improved method for hierarchical-matrices (H-matrices) using adaptive cross
approximation (ACA) as the low-rank approximation. The improvement consists of a kind of …

Any hierarchical matrix (H-matrix) can be transformed to an H-matrix with block low-rank
representation (BLR). Although matrix arithmetic with BLR is easier than that with the normal …