Variational Principles and Conservation. Laws in the Derivation of Radiation Boundary Conditions for Wave Equations

Daalen van, Edwin F.G. and Broeze, Jan and Groesen van, Embrecht (1992) Variational Principles and Conservation. Laws in the Derivation of Radiation Boundary Conditions for Wave Equations. Mathematics of Computation, 58 . pp. 55-71. ISSN 0025-5718

Preview

PDF
1326Kb

Abstract:	Radiation boundary conditions are derived for partial differential equations which describe wave phenomena. Assuming the evolution of the system to be governed by a Lagrangian variational principle, boundary conditions are obtained with Noether's theorem from the requirement that they transmit some appropriate density--such as the energy density--as well as possible. The theory is applied to a nonlinear version of the Klein-Gordon equation. For this application numerical test results are presented. In an accompanying paper the theory is applied to a two-dimensional wave equation.
Item Type:	Article
Copyright:	© 1992 American Mathematical Society
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Applied Analysis and Mathematical Physics (AAMP)
Link to this item:	http://purl.utwente.nl/publications/30240
Official URL:	http://www.jstor.org/stable/2153020
Export this item as:	BibTeX EndNote HTML Citation Reference Manager

Show download statistics for this publication

Repository Staff Only: item control page

Metis ID: 140880