Analysis of a Finite Element Method--PDE/PROTRANSpringer-Verlag, 1985 - 154 pagine |
Dall'interno del libro
Risultati 1-3 di 16
Pagina 68
... Lanczos method is O ( N1.5 ) , at least in the positive definite case , which is better than the estimates for the band and frontal solvers . The storage is clearly O ( N ) , since only the nonzeros of A must be stored . The fact that ...
... Lanczos method is O ( N1.5 ) , at least in the positive definite case , which is better than the estimates for the band and frontal solvers . The storage is clearly O ( N ) , since only the nonzeros of A must be stored . The fact that ...
Pagina 69
... Lanczos method has been run on a number of highly nonsymmetric and indefinite PDEs and results are reported in { 7 } . These tests show ( 3.4.3 ) to be very robust , perhaps more so than other iterative methods . The results also show ...
... Lanczos method has been run on a number of highly nonsymmetric and indefinite PDEs and results are reported in { 7 } . These tests show ( 3.4.3 ) to be very robust , perhaps more so than other iterative methods . The results also show ...
Pagina 70
... Lanczos method . The average slope of the curves log ( iterations ) vs. log ( un- knowns ) is 0.39 for the first problem and 0.45 for the second . Nevertheless the gain in speed in not as spectacular as might be supposed by comparing ...
... Lanczos method . The average slope of the curves log ( iterations ) vs. log ( un- knowns ) is 0.39 for the first problem and 0.45 for the second . Nevertheless the gain in speed in not as spectacular as might be supposed by comparing ...
Sommario
Partial Differential Equation Applications | 1 |
Elliptic ProblemsForming the Algebraic Equations | 22 |
Elliptic ProblemsSolving the Algebraic Equations | 50 |
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Parole e frasi comuni
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 |