Construction of P~1 Gradient from P~0 Gradient by Averaging

摘要

Construction of nodal and element-wise linear (known as P~1) gradient field from element-wise constant (known as P~0) gradient field obtained by the P~1 finite element methods on defined triangular mesh is based on works of J. Dalik et al. and it is briefly explained and numerically tested in this contribution. Nodal value of P~1 gradient is computed by averaging of P~0 gradients on elements sharing the node in a common patch.