Construction of nodal and element-wise linear (known as P1) gradient field from element-wise constant (known as P0) gradient field obtained by the P1 finite element methods on defined triangular mesh is based on works of J. Dalík et al. and it is briefly explained and numerically tested in this contribution. Nodal value of P1 gradient is computed by averaging of P0 gradients on elements sharing the node in a common patch.
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