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interpolate - function or expression interpolation (rheolef-7.2)

Author

       Pierre  Saramito  <Pierre.Saramito@imag.fr>

Description

       The interpolation function implements the usual Lagrange interpolation of a function or a class-function
       on a finite element space(2).

Expressions

       It is possible to interpolate an expression involving a combination of functions, class-functions and
       fields:

           field vh = interpolate (Xh, sqrt(uh) + 2*max(0.,uh));

Implementation

       This documentation has been generated from file main/lib/interpolate.h

       The implementation of expressions bases on the expression template and SFINAE C++ idioms.

Name

       interpolate - function or expression interpolation (rheolef-7.2)

Reinterpolation

       The reinterpolation of a field on another mesh or on another finite element space is also possible:

           geo omega2 ('square2');
           space X2h (omega2, 'P1');
           field uh2 = interpolate (X2h, pi_h_u);

        Such a reinterpolation is very frequent in mesh adaptive loops.

Synopsis

           template <class Expression>
           field interpolate (const space& Xh, const Expression& expr);

        Example The following code compute the Lagrange interpolation pi_h_u the function u(x):

          Float u(const point& x) { return exp(x[0]*x[1]); }
          ...
          geo omega('square');
          space Xh (omega, 'P1');
          field pi_h_u = interpolate (Xh, u);

See Also