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Numerical solution of the Maxwell equations in nonlinear media
- Publication Year :
- 1996
-
Abstract
- In this paper some aspects concerning the finite element solution of the electromagnetic propagation in nonlinear media are studied through complementary formulations of the Maxwell equations. Nonlinear hyperbolic equations generate discontinuous solutions even if the initial and boundary conditions are regular. The numerical solution definitively breaks and the Galerkin method does not converge any more after the time at which a sharp discontinuity is developed. The sharpening of the solution is related to the loss of its uniqueness.
- Subjects :
- Physics
Mathematical analysis
Finite element method
Electronic, Optical and Magnetic Materials
Local convergence
symbols.namesake
Discontinuity (linguistics)
Nonlinear system
Maxwell's equations
symbols
Boundary value problem
Electrical and Electronic Engineering
Galerkin method
Hyperbolic partial differential equation
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....c8c1b2068120a6cfb06baa4a5d21dc58