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A characterization of pairs of subspaces for quantum chemical applications of the Galerkin–Petrov method

✍ Scribed by K. Jankowski

Book ID
104578866
Publisher
John Wiley and Sons
Year
1976
Tongue
English
Weight
631 KB
Volume
10
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

A method is proposed for characterizing pairs of finite dimensional subspaces of the Hilbert space. The method might be helpful for the proper selection of coordinate and projective spaces leading to reliable realizations of the Galerkin–Petrov method for use in quantum chemistry. In order to illustrate the method some numerical results are presented.

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✍ John J.H. Miller 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 361 KB

We consider the equations governing the electrical and thermal behaviour of a semiconductor device in two dimensions. A non-standard Petrov-Galerkin method is used to obtain a discretisation of the equations for stationary problems. The resulting scheme is a generalization to the two-dimensional cas