Overview

The Multiscale Library is a package of C++ libraries containing data structures, functions and classes for realizing multilevel methods for numerically solving certain elliptic operator equations. In particular, the use of wavelets for different kind of elliptic partial differential and integral equations is provided.

The library consists of two main parts, one for handling general problems from numerical linear algebra and the other devoted to the multilevel requirements.

It contains the following routines:

basic linear algebra tools for vector-matrix-calculations,
standard solvers for linear systems,
data structures for refinable functions and wavelets,
construction of divergence free wavelets,
construction of wavelet based trial spaces that fulfill LBB,
evaluation of integrals of (derivatives of) refinable functions,
setup of the corresponding stiffness matrices,
multiscale transformations,
multilevel preconditioners for pcg methods.

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Overview