Analysis of a Finite Element Method--PDE/PROTRANSpringer-Verlag, 1985 - 154 pagine |
Dall'interno del libro
Risultati 1-3 di 4
Pagina 81
... discretization error will be zero ( 1 + x2 + y2 can be fit exactly with quadratics ) so that all the measured error will be due to the time discretization . The errors at a fixed point ( x , y , t ) = ( 0.5,0.5,1.0 ) with various ...
... discretization error will be zero ( 1 + x2 + y2 can be fit exactly with quadratics ) so that all the measured error will be due to the time discretization . The errors at a fixed point ( x , y , t ) = ( 0.5,0.5,1.0 ) with various ...
Pagina 146
... discretization is proportional to dt ( the time step ) . If CRANKNICOLSON is used then the error is proportional to dt2 . If EXTRAPOLATION is also used the errors are then proportional to dt2 and dt4 . The error in the solution U is ...
... discretization is proportional to dt ( the time step ) . If CRANKNICOLSON is used then the error is proportional to dt2 . If EXTRAPOLATION is also used the errors are then proportional to dt2 and dt4 . The error in the solution U is ...
Pagina 147
... discretization error in the extrapolated values is twice the order in the unextrapolated values . An estimate of the time discretization error is also calculated and output . Recall , however , that the total error also includes a space ...
... discretization error in the extrapolated values is twice the order in the unextrapolated values . An estimate of the time discretization error is also calculated and output . Recall , however , that the total error also includes a space ...
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 |