Elliptic systems and numerical transformations
C. Wayne Mastin, Joe F. Thompson, Institute for Computer Applications in Science and Engineering, Langley Research Center, United States. National Aeronautics and Space Administration
NASA, Langley Research Center, 1976 - Mathematics - 21 pages
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annular region arcs Argument Principle body-fitted boundary components Boundary conditions boundary correspondence boundary points boundary value problem branch cuts C. W. Mastin Comp Computational conformal mapping constant construction coordinates s,n create a mesh curves curvilinear coordinate system Curvilinear mesh difference approximation difference equation disc and maximum Discretization Error doubly-connected region elliptic system error in mapping f and g F. C. Thames finite difference methods finite number Fluid Dynamics functions f harmonic function harmonic mapping interior mesh points J. F. Thompson Jacobian vanishes linearized vorticity maximum absolute error mesh of width Mississippi State University model parabolic problem multiply-connected region nonvanishing Jacobian nonzero numerical solution one-to-one partial differential equations Phys point jh Prokopov proof rectangular region Riemann surface semilinear system simply and doubly-connected simply-connected region solving fluid square mesh square of unit system of equations system of partial Theorem tion trans transformation method unit width Vl.k Wayne Mastin Wj,k