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Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes

Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes

.The lowest-order nonconforming virtual element extends the Morley triangular element to polygons for the approximation of the weak solution \(u\in V:=H^2_0(\Omega )\) to the biharmonic equation. The abstract framework allows (even a mixture of) two examples of the local discrete spaces \(V_h(P)\) and a smoother allows rough source terms \(F\in …