Use of the tensor product for numerical weather prediction by the finite element method
Newton, R. E. (Robert Eugene)
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This is Part 2 of a report-pair concerning application of the tensor product in solving large sets of simultaneous linear equations arising in finite element formulations of Numerical Weather Prediction problems. A rectangular region having a graded mesh with Dirichlet boundary conditions on all four edges is considered. Coefficient matrices are the "mass" matrix and the "stiffness" matrix of the finite element method. For the stiffness matrix, which appears in Poisson's equation, operation counts and storage requirements are compared with corresponding numbers for solutions by successive over-relaxation and Gaussian elimination. FORTRAN programs for implementation of the tensor product formulations are given.
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
NPS Report NumberNPS69-84-005
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