TREE–COTREE DECOMPOSITIONS FOR FIRST-ORDER COMPLETE TANGENTIAL VECTOR FINITE ELEMENTS

@inproceedings{Manges1997TREECOTREEDF,
  title={TREE–COTREE DECOMPOSITIONS FOR FIRST-ORDER COMPLETE TANGENTIAL VECTOR FINITE ELEMENTS},
  author={J. B. Manges and Zoltan J. Cendes},
  year={1997}
}
Edge-based finite elements have important applications in modelling both quasi-static and high-frequency electromagnetic problems. Recent work has demonstrated that formulations that exploit the graph structure of the edge-based finite element mesh may be extended to higher-order elements. This paper presents the details of how such an extension to a first-order complete finite element is accomplished and illustrates its application in two-dimensional magnetostatics. © 1997 by John Wiley & Sons… CONTINUE READING