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Differential Complexes and Stability of Finite Element Methods I. The de Rham Complex

  • Arnold D
  • Falk R
  • Winther R
Springer New York, (2007), 23-46
DOI: 10.1007/0-387-38034-5_2
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Abstract

DIFFERENTIAL COMPLEXES AND STABILITY OF FINITE ELEMENT METHODS. I. THE DE RHAM COMPLEX DOUGLAS N. ARNOLD , RICHARD S. FALK , AND RAGNAR WINTHER Abstract. In this paper we explain the relation between certain piecewise polyno- mial subcomplexes of the de Rham complex and the stability of mixed finite element methods for elliptic problems.Key words. mixed finite element method, de Rham complex, stability

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Arnold, D. N., Falk, R. S., & Winther, R. (2007). Differential Complexes and Stability of Finite Element Methods I. The de Rham Complex. In Compatible Spatial Discretizations (pp. 23–46). Springer New York. https://doi.org/10.1007/0-387-38034-5_2

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