Praveen, the easiest (and widely popular) way to implement weak boundary conditions is Nitsche's method. While you refer to a Lagrange multiplier method, this one is an augmented Lagrangian.

LocalIntegrators::Laplace::nitsche_matrix and LocalIntegrators::Laplace::nitsche_residual can be used to
implement it.

Best,
Guido


On 07/07/2011 08:34 AM, Praveen C wrote:
Hello

Is it possible to enforce dirichlet BC in weak form, the so called primal mixed approach. An example is given here, see Remark 7.1.4

http://books.google.co.in/books?id=j7WmQ1yFjkAC&lpg=PP1&dq=quarteroni%20numerical%20approximation&pg=PA227#v=onepage&q&f=false <http://books.google.co.in/books?id=j7WmQ1yFjkAC&lpg=PP1&dq=quarteroni%20numerical%20approximation&pg=PA227#v=onepage&q&f=false>

This requires defining finite elements on the boundary. I dont remember seeing any examples in deal.ii which do this.

praveen


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