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This document introduces finite element exterior calculus, an approach to designing stable finite element methods for partial differential equations (PDEs) by discretizing the geometric, topological, and algebraic structures underlying the PDE problems. These structures are formalized using tools from exterior calculus, homological algebra, and topology. The paper surveys how finite element spaces can be constructed as spaces of piecewise polynomial differential forms on simplicial meshes that form discrete

Author

jhdmss

Language

EN