Analysis of a Finite Element Method--PDE/PROTRANSpringer-Verlag, 1985 - 154 pagine |
Dall'interno del libro
Risultati 1-3 di 38
Pagina 68
... Section 7.3 ) . For two dimensional , second order , positive definite PDEs this condition number can be shown to be proportional to N { 8 , Section 5.5 } . Now the dominant calculation in ( 3.4.4 ) is the matrix - vector multiplication ...
... Section 7.3 ) . For two dimensional , second order , positive definite PDEs this condition number can be shown to be proportional to N { 8 , Section 5.5 } . Now the dominant calculation in ( 3.4.4 ) is the matrix - vector multiplication ...
Pagina 95
... Section 1.2 ) the boundary integral represents the change in u in the region due to the flux across the boundary , so that the change in u due to flux across a small piece ds of the boundary during time interval dt is : Au = ( nxG + nyH ) ...
... Section 1.2 ) the boundary integral represents the change in u in the region due to the flux across the boundary , so that the change in u due to flux across a small piece ds of the boundary during time interval dt is : Au = ( nxG + nyH ) ...
Pagina 114
... Section 6.2 . In order to study the error in the eigenvalue approximation , the following functional is defined : H ( a , b ) = ♫ ♪ ( a , ax , ay ) TH1 ( b , bx , by ) dxdy + √ a1H2b ds R ƏR 2 where -H1 is the 3m by 3m matrix ( 2.1 ...
... Section 6.2 . In order to study the error in the eigenvalue approximation , the following functional is defined : H ( a , b ) = ♫ ♪ ( a , ax , ay ) TH1 ( b , bx , by ) dxdy + √ a1H2b ds R ƏR 2 where -H1 is the 3m by 3m matrix ( 2.1 ...
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 |