Use of the Tensor Product for Numerical Weather Prediction by the Finite Element Method. Part 1.
Final rept. Oct 82-Sep 83,
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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This report concerns application of the tensor product in solving large sets of linear equations arising in Numerical Weather Prediction problems. The coefficient matrix considered is called the mass matrix in finite element parlance. Theory of the tensor product resolution is presented, along with methods for imposing Dirichlet and cyclic boundary conditions. Operation counts and storage requirements are compared with corresponding numbers for some widely-used solution algorithms. Listings of Fortran programs for implementing the tensor product solution system TENSOR and testing it are given.