A variational approach to boundary elements—two dimensional Helmholtz problems
Copyright policy )A variational approach to boundary elements—two dimensional Helmholtz problems
AbstractThe boundary element method is a discretized version of the boundary integral equation method. The variational formulation is presented for the boundary element approach to Helmholtz problems. The numerical calculation of the eigenvalues in association with hollow waveguides demonstrates that the variational approach provides the upper and lower bounds of the eigenvalues.The drawback of the discretized system equation must be solved by a trial and error approach, which is shown to be removed by the introduction of the dual reciprocity method. Copyright © 2003 John Wiley & Sons, Ltd.
- Okayama University Japan
- Akita Prefectural University Japan
- Delco Electronics United States
boundary elements, Helmholtz problems, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, boundary integral equation method, eigenvalues, variational approach, Boundary element methods for boundary value problems involving PDEs, waveguides, Antennas, waveguides in optics and electromagnetic theory, Boundary element methods applied to problems in optics and electromagnetic theory, dual reciprocity method
boundary elements, Helmholtz problems, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, boundary integral equation method, eigenvalues, variational approach, Boundary element methods for boundary value problems involving PDEs, waveguides, Antennas, waveguides in optics and electromagnetic theory, Boundary element methods applied to problems in optics and electromagnetic theory, dual reciprocity method
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!