Analysis of a Finite Element Method--PDE/PROTRANSpringer-Verlag, 1985 - 154 pagine |
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Pagina 54
... non - zero elements of the Jacobian matrix ( 2.1.9 ) . One of the linear equation solvers available with PDE ... nonzero ( " fill - in " ) but it will have an even more destructive effect on the " profile " or " skyline " of the ...
... non - zero elements of the Jacobian matrix ( 2.1.9 ) . One of the linear equation solvers available with PDE ... nonzero ( " fill - in " ) but it will have an even more destructive effect on the " profile " or " skyline " of the ...
Pagina 57
... nonzero structure for a matrix using the Cuthill-- McKee ( plus bandwidth reduction ) algorithm is shown , with nonzero elements indicated by X's . In each column , all the zeros above the first nonzero element will remain zero ...
... nonzero structure for a matrix using the Cuthill-- McKee ( plus bandwidth reduction ) algorithm is shown , with nonzero elements indicated by X's . In each column , all the zeros above the first nonzero element will remain zero ...
Pagina 58
... nonzero in its column , aji lies before the first nonzero in its row , and is also protected from fill - in , as is easily verified . So the multiple of row i which should be added to row j is zero , and that addition is skipped . Thus ...
... nonzero in its column , aji lies before the first nonzero in its row , and is also protected from fill - in , as is easily verified . So the multiple of row i which should be added to row j is zero , and that addition is skipped . Thus ...
Sommario
Partial Differential Equation Applications | 1 |
Elliptic ProblemsForming the Algebraic Equations | 22 |
Elliptic ProblemsSolving the Algebraic Equations | 50 |
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A.UX algorithm approximating assumed backward difference method band solver basis functions boundary conditions BOUNDARY FORCE calculated components conjugate gradient method convergence Crank-Nicolson Crank-Nicolson method curved D3EST Default defined in GLOBAL derivatives diagonal dimensional discretization discretization error DISPLACEMENTS DOUBLE PRECISION DOUBLE PRECISION Expression dxdy eigenfunction eigenvalue problem elastic error Expression involving constants ƏR₁ Figure filename finite difference method finite element formula FORTRAN frontal method frontal solver Galerkin grid hyperbolic problems iarcI initial triangulation integration inverse power method Jacobian matrix keyword Lanczos Iteration Lanczos method linear system Newton iteration Newton's method nonlinear nonzero normalized triangle NOUPDATE output PDE/PROTRAN PDE2D piecewise polynomial plot Pn+1 positive definite PRECISION Expression involving PRECISION MATRIX quadratic quartic elements REAL or DOUBLE satisfies Section shown solution solve specified step Structure symmetric updated UPRINT values variables defined vector velocity VERTICES VSOL XGRID xk+1 zero
Riferimenti a questo libro
Nonlinear Functional Analysis and Its Applications: Part 2 B: Nonlinear ... E. Zeidler Anteprima non disponibile - 1989 |
The Numerical Solution of Ordinary and Partial Differential Equations Granville Sewell Anteprima limitata - 2005 |