DOLFIN User Manual - FEniCS Project

Chapter 5Functions◮ Developer’s note: Since this chapter was written, the Function class hasseen a number of improvements which are not covered here. Chapter needsto be updated.The central concept of a function on a domain Ω ⊂ R d is modeled by the classFunction, which is used in DOLFIN to represent coefficients or solutions ofpartial differential equations.5.1 Basic propertiesThe following basic properties hold for all Functions:• A Function can be scalar or vector-valued;• A Function can be evaluated at each Vertex of a Mesh;• A Function can be restricted to each local Cell of a Mesh;• The underlying representation of a Function may vary.33