New recovery error indicator for adaptive finite-element analysis on waveguiding structures
Research Group
Grupo Electromagnetismo y Materia (GEM)Knowledge Area
Teoría de la Señal y las ComunicacionesPublication date
2003-05Publisher
IEEE Microwave Theory and Techniques SocietyBibliographic Citation
DÍAZ MORCILLO, Alejandro B., BALBASTRE, Juan V., NUÑO, Luis. New recovery error indicator for adaptive finite-element analysis on waveguiding structures. IEEE Transactions on Microwave Theory and Techniques, 51 (5): 1467 - 1475 p. ISSN 0018-9480Keywords
Errores de análisisMétodos de elementos finitos
Líneas de transmisión
Guías de onda
Error analysis
Finite element method (FEM)
Transmission line
Waveguides
Abstract
The adaptive finite-element method (FEM) is an iterative
variant of the FEM where, in a first step, an initial mesh
with few and low-order elements is generated, the corresponding
algebraic problem is solved and the error in the solution is estimated
in order to add degrees of freedom in those regions of the
domain with the biggest error estimation. This process is repeated
until an ending condition is reached. The two basic stages in this
method are the error indication and the mesh enrichment. In this
paper, within the analysis of waveguiding structures, a new error
indicator based on the curl recovery is described. In addition, an
overview on refinement techniques is presented, and the -refinement
employed in this study is briefly described. Results obtained
with the curl-recovery indicator are discussed and compared with
the classical nonadaptive FEM and two previously developed error
indicators: the residual and flux continuity indicators.
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