Analysis of a Finite Element Method--PDE/PROTRANSpringer-Verlag, 1985 - 154 pagine |
Dall'interno del libro
Risultati 1-3 di 10
Pagina 24
... approximating set , of the form ( 2.1.2 ) . Therefore if up is any member of this approximating set , E ( UG ) E ( UI ) E ( UG ) -E ( u ) ≤ E ( u ) -E ( u ) H ( UG - u , ug - u ) ≤ н ( u - u , u - u ) || UG - U || H ≤ || U1 - U || H ...
... approximating set , of the form ( 2.1.2 ) . Therefore if up is any member of this approximating set , E ( UG ) E ( UI ) E ( UG ) -E ( u ) ≤ E ( u ) -E ( u ) H ( UG - u , ug - u ) ≤ н ( u - u , u - u ) || UG - U || H ≤ || U1 - U || H ...
Pagina 26
... approximating functions are polynomials of degree 2,3 or 4 restricted to each triangle , and are continuous across triangle boundaries . The quadratic ( second degree ) piecewise polynomials will be studied in detail , and then the ...
... approximating functions are polynomials of degree 2,3 or 4 restricted to each triangle , and are continuous across triangle boundaries . The quadratic ( second degree ) piecewise polynomials will be studied in detail , and then the ...
Pagina 116
... approximating set , ( 6.1.8 ) implies that ( 6.1.7 ) holds for any in this set , so that w is an eigenfunction of the discrete problem , with eigenvalue R ( w ) . In particular , since the absolute minimum of R is also a stationary ...
... approximating set , ( 6.1.8 ) implies that ( 6.1.7 ) holds for any in this set , so that w is an eigenfunction of the discrete problem , with eigenvalue R ( w ) . In particular , since the absolute minimum of R is also a stationary ...
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 |