Analysis of a Finite Element Method--PDE/PROTRANSpringer-Verlag, 1985 - 154 pagine |
Dall'interno del libro
Risultati 1-3 di 12
Pagina 30
... piecewise polynomial which , within each triangle , is the Taylor polynomial interpolant to u , at the midpoint , of degree 2. Then the error at a given point ( x , y ) within a ( straight ) triangle Tk is given by ( ( XM , YM ) is the ...
... piecewise polynomial which , within each triangle , is the Taylor polynomial interpolant to u , at the midpoint , of degree 2. Then the error at a given point ( x , y ) within a ( straight ) triangle Tk is given by ( ( XM , YM ) is the ...
Pagina 36
... polynomials of degree 2n - 2 , where n is the degree of the piecewise polynomial space , in order to avoid decreasing the overall order of accuracy ( exponent of h ) of the solution . This criterion is met by all three elements , barely ...
... polynomials of degree 2n - 2 , where n is the degree of the piecewise polynomial space , in order to avoid decreasing the overall order of accuracy ( exponent of h ) of the solution . This criterion is met by all three elements , barely ...
Pagina 38
... piecewise polynomial approximation to the PDE solution , using the Galerkin method . As discussed in Section 2.1 , the accuracy of the Galerkin solution depends simply on how accurately the true solution can be approximated by functions ...
... piecewise polynomial approximation to the PDE solution , using the Galerkin method . As discussed in Section 2.1 , the accuracy of the Galerkin solution depends simply on how accurately the true solution can be approximated by functions ...
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 |