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Finite element optimisation
The nonlinear problem
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Appendix approach argument and returns array processor boundary conditions calculations component conjugate gradient algorithm DAP DEC DAP DAP FORTRAN DEC DAP 11 DEC DAP DEC denoted distributed array processor element information element matrices Error Function CPU Evaluate FALSE finite element method ﬂow formulation function value go to step grid points Grid size Graph heat conduction ICL DAP IIIIIIIIIIII IIIIIIIIIIII IIIIIIIIIIII integer scalar integrals interpolation L-II line search linear conjugate gradient linearised logical matrix logical vector mesh MIMD minimum N X N Navier—Stokes equation NL-I non-linear conjugate gradient non-linear p.d.e.s number of iterations obtained optimisation problem PARALLEL ARRAY parallel computers plane geometry returns a logical Reynolds number scalar argument segments self-adjoint sequential computer sequential machine shape functions SIMD solve system of equations Takes a single three unknowns truncated Newton University of London UX2 value Iterations vector or matrix