UFL Specification and User Manual 0.3 - FEniCS Project

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UFL Specification and User Manual 0.3Martin S. Alnæs, Anders Loggnamespace available, and extract forms and elements that are defined afterexecution. The compilers do not compile all forms and elements that aredefined in file, but only those that are exported. A finite element with thevariable name element is exported by default, as are forms with the namesM, L, and a. The default form names are intended for a functional, linearform, and bilinear form respectively.To export multiple forms and elements or use other names, an explicit listwith the forms and elements to export can be defined. Simply writeelements = [V, P, TH]forms = [a, L, F, J, L2, H1]attheendofthefiletoexporttheelementsandformsheldbythesevariables.60
Chapter 3Example FormsThe following examples illustrate basic usage of the form language for thedefinition of a collection of standard multilinear forms. We assume that dxhas been declared as an integral over the interior of Ω and that both i andj have been declared as a free Index.The examples presented below can all be found in the subdirectory demo/ ofthe UFL source tree together with numerous other examples.3.1 The mass matrixAsafirstexample, considerthebilinearformcorrespondingtoamassmatrix,∫a(v,u) = vudx, (3.1)which can be implemented in UFL as follows:Ωelement = FiniteElement("Lagrange", triangle, 1)v = TestFunction(element)u = TrialFunction(element)61
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UFL Specification and User Manual 0
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ContentsAbout this manual 111 Intro
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2.8.10 skew . . . . . . . . . . . .
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4 Internal Representation Details 7
Page 9: B Installation 97B.1 Installing fro
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Page 93: Bibliography[1] M. Alnæs and K.-A.
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