Interpolation and Restriction Sample Clauses

Interpolation and Restriction. Starting with a mesh that is sufficiently coarse to allow a fast solution of the discrete system (e.g. with a direct solver that we have denoted with “\”), we refine the mesh uniformly L times. With each mesh, we associate a corresponding triple of finite element spaces, Vk, Qk, Zk, k = 1, . . . , L. By construction, the coarse level spaces are x x=1 subspaces of the next fine level spaces. This defines natural embeddings {P u}L , x x=1 {Pp}L and {PW }L which transfer (interpolate) the degrees of freedom of u, p and
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