Analysis of a Finite Element Method--PDE/PROTRANSpringer-Verlag, 1985 - 154 pagine |
Dall'interno del libro
Risultati 1-3 di 21
Pagina 30
... derivatives are not continuous across element boundaries . Fortunately , this is all that is required for the Galerkin method . The integrals in the Galerkin equations ( 2.1.4 ) involve only first derivatives of the basis functions ...
... derivatives are not continuous across element boundaries . Fortunately , this is all that is required for the Galerkin method . The integrals in the Galerkin equations ( 2.1.4 ) involve only first derivatives of the basis functions ...
Pagina 39
... derivatives . In fact , it is finite for all functions of the form u = raf ( x , y ) , where r is distance to a given point , O≤a and f ( x , y ) is smooth . This includes functions which are bounded but have unbounded derivatives ...
... derivatives . In fact , it is finite for all functions of the form u = raf ( x , y ) , where r is distance to a given point , O≤a and f ( x , y ) is smooth . This includes functions which are bounded but have unbounded derivatives ...
Pagina 140
... derivatives of ( gb1 , gb2 , ... ) with respect to ( U1 , U2 , ... ) , on each arc . Thus , for example , gbJ.UK represents the partial derivative of gbJ with respect to UK ( on arc number iarcI ) and is a function of the same arguments ...
... derivatives of ( gb1 , gb2 , ... ) with respect to ( U1 , U2 , ... ) , on each arc . Thus , for example , gbJ.UK represents the partial derivative of gbJ with respect to UK ( on arc number iarcI ) and is a function of the same arguments ...
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 |