Bembel is a Boundary Element Method Based Engineering Library written in C and C++ to solve boundary value problems governed by the Laplace, Helmholtz or electric wave equation. It was written as part of a cooperation between the TU Darmstadt and the University of Basel, coordinated by H. Harbrecht, S. Kurz and S. Schöps. It is based on the Laplace BEM of J. Dölz, H. Harbrecht and M. Multerer as well as the spline and geometry framework of F. Wolf. Bembel v1.0 is online now
Realizes a high precision implementation of the Halton Set in arbitrary dimensions using a simple sieve for the prime generation and an explicit storage of their b-adic representation. In order to achieve high accuracy, the radical inverse is formed by the Horner scheme.
A Package which implements the anisotropic sparse grid quadrature for arbitrary downward closed index sets. To provide maximum flexibility, the underlying univariate quadrature rules as well as the criterion for the sparse index set can be defined by the user. Optimised versions of the total degree index set and the hyperbolic cross index set are provided by default. Currently, the package comes with a simple Matlab interface.