Premium
Crank‐nicolsen‐Galerkin approximation for Maxwell's equations
Author(s) -
Hoppe Ronald H. W.,
Brosowski B.
Publication year - 1982
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670040109
Subject(s) - mathematics , galerkin method , hilbert space , maxwell's equations , operator (biology) , hermitian matrix , mathematical analysis , convergence (economics) , unitary state , finite element method , pure mathematics , biochemistry , chemistry , physics , repressor , gene , transcription factor , economics , thermodynamics , economic growth , political science , law
The Maxwell equations are formulated as an evolution equation in a suitable chosen Hilbert space involving a densely defined closed skew‐Hermitian operator which generates a unitary group. A Crank‐Nicolsen‐Galerkin approximation is then established and convergence is shown by arguments from the theory of approximation of groups of operators.