On 10/31/2016 08:11 PM, hanks0...@gmail.com wrote:

But, my question was that in usual tutorial program of deal.II, the vector
solution contains values for U_i not u_h(x).

We use them interchangeably. The *solution vector* that comes out of the linear solver is U_i, and it corresponds to the *discrete solution* or *finite element solution* via the relationship
  u_h(x) = \sum_i U_i \varphi_i(x)
once you prescribe a set of basis functions \varphi_i.

We refer to both U_i and u_h(x) as "the solution", depending on context.

Best
 W.

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Wolfgang Bangerth          email:                 bange...@colostate.edu
                           www: http://www.math.colostate.edu/~bangerth/

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