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Symbolic arguments in variational expressions.

Chapter
rheolef-6.7
test(2rheolef) rheolef-6.7 test(2rheolef)

NAME

test, trial - symbolic arguments in variational expressions

DESCRIPTION

These classes are used for test and trial functions involved in variational formulations. Variational formulations could be specified by expressions, in the spirit of c++ embeded languages. A variable of the test type represents the formal argument (the test-function) in the definition of a linear form, as in: geo omega ("circle"); space Xh (omega, "P1"); test v(Xh); field lh = integrate (omega, 2*v); For a bilinear form, the test-function represents its second formal argument, while the first one is designed by the trial type: trial u(Xh); test v(Xh); form m = integrate (omega, u*v), a = integrate (omega, dot(grad(u),grad(v))); The field_vf class is abble to represents either test or trial types: it could be used to formaly define a differential operator, as: D(u) = (grad(u)+trans(grad(u)))
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