THE EIGENVALUES AND EIGENSPACES OF SOME DISCRETE DIV- AND CURL-RELATED OPERATORS ∗

Abstract

Abstract. The eigenvalues and eigenspaces of some discrete div-and curl-related operators are investigated. The discrete operators give some good discrete analogues of the continuous counterparts and play an important role in developing finite volume schemes for solving div-curl equations and electromagnetic systems. Knowledge of the eigenvalues and eigenspaces is very useful in the numerical analysis of finite volume methods for electromagetic systems in nonhomogeneous media

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