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math.NA2025
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…
math.NA2025
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…