A Neumann subproblem a posteriori finite element procedure for the efficient and accurate calculation of rigorous, constant-free upper and lower bounds for non-linear outputs of the Helmholtz equation in two-dimensional exterior domains is presented. The bound procedure is firstly formulated, with p
Dispersion analysis of a non-conforming finite element method for the Helmholtz and elastodynamic equations
β Scribed by Fabio I. Zyserman; Patricia M. Gauzellino; Juan E. Santos
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 199 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.822
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## Abstract We study the stability properties of, and the phase error present in, a finite element scheme for Maxwell's equations coupled with a Debye or Lorentz polarization model. In one dimension we consider a second order formulation for the electric field with an ordinary differential equation
This paper contains a first systematic analysis of a posteriori estimation for finite element solutions of the Helmholtz equation. In this first part, it is shown that the standard a posteriori estimates, based only on local computations, severely underestimate the exact error for the classes of wav