Analysis of a Finite Element Method--PDE/PROTRANSpringer-Verlag, 1985 - 154 pagine |
Dall'interno del libro
Risultati 1-3 di 16
Pagina 50
... nonlinear as the PDE itself is linear or nonlinear . In either case , this system may be written as : f ( x ) = 0 where the number of equations and the number of unknowns is equal to the product of the number of PDEs and the number of ...
... nonlinear as the PDE itself is linear or nonlinear . In either case , this system may be written as : f ( x ) = 0 where the number of equations and the number of unknowns is equal to the product of the number of PDEs and the number of ...
Pagina 73
... nonlinear systems as well , in which case it is called " nonlinear overrelaxation . " 3.2 Consider the unit square , divided into 4LM triangles as shown below : M a . b . C. d . e . If piecewise linear elements on triangles are used and ...
... nonlinear systems as well , in which case it is called " nonlinear overrelaxation . " 3.2 Consider the unit square , divided into 4LM triangles as shown below : M a . b . C. d . e . If piecewise linear elements on triangles are used and ...
Pagina 97
... nonlinear shallow water flow problem , taken from { 2 } . The region involved is one - dimensional , so PDE / PROTRAN treats it as a long thin rectangle ( cf. Problem 3.2d ) . The equations are : ( 5.1.4 ) ut - uux - 980 ( vx + Hx ) ...
... nonlinear shallow water flow problem , taken from { 2 } . The region involved is one - dimensional , so PDE / PROTRAN treats it as a long thin rectangle ( cf. Problem 3.2d ) . The equations are : ( 5.1.4 ) ut - uux - 980 ( vx + Hx ) ...
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 |