4 papers
A note on short and long exact sequences in the BGG construction of complexes from complexes
Snorre H. Christiansen
We first show how the cohomology of some Bernstein-Gelfand-Gelfand (BGG) sequences that are important for the numerical analysis of partial differential equations, can be obtained…
Convergence and Stability of Discrete Exterior Calculus for the Hodge Laplace Problem in Two Dimensions
Chengbin Zhu, Snorre H. Christiansen, Kaibo Hu +1
We prove convergence and stability of the discrete exterior calculus (DEC) solutions for the Hodge-Laplace problems in two dimensions for families of meshes that are non-degenerate…
Regge metrics with enhanced trace
Snorre H. Christiansen, Ting Lin
We introduce variants of Regge finite element metrics with enhanced properties of the trace. In particular the trace operator is surjective to a finite element space of continuous…
Interpretation of a Discrete de Rham method as a Finite Element System
Snorre H. Christiansen, Francesca Rapetti
We show that the DDR method can be interpreted as defining a computable consistent discrete product on a conforming FES defined by PDEs. Without modifying the numeri…