Adjoint methods for quasi-symmetry of vacuum fields on a surface

R Nies, EJ Paul, SR Hudson… - Journal of Plasma …, 2022 - cambridge.org
Adjoint methods can speed up stellarator optimisation by providing gradient information
more efficiently compared with finite-difference evaluations. Adjoint methods are herein …

Capacitance matrix revisited

I Smolić, B Klajn - arXiv preprint arXiv:2007.10251, 2020 - arxiv.org
The capacitance matrix relates potentials and charges on a system of conductors. We review
and rigorously generalize its properties, block-diagonal structure and inequalities, deduced …

[PDF][PDF] Advanced analysis

J Vovelle - perso.ens-lyon.fr
The first sections, Section 2.1 and Section 2.2 are presented as complements only. We will
not discuss these topics in the course, but you may find it useful later to have them here. In …

[PDF][PDF] Some basic topics in topology and set theory

S Semmes - math.rice.edu
These informal notes are intended to complement more detailed texts, some of which are
mentioned in the bibliography. The reader is expected to be familiar with some basic notions …