3 edition of **Optimal least-squares finite element method for elliptic problems** found in the catalog.

Optimal least-squares finite element method for elliptic problems

- 263 Want to read
- 32 Currently reading

Published
**1991**
by National Aeronautics and Space Administration, For sale by the National Technical Information Service in [Washington, DC], [Springfield, Va
.

Written in English

- Finite element method.,
- Least squares.

**Edition Notes**

Other titles | Optimal least squares finite element .... |

Statement | Bo-Nan Jiang and Louis A. Povinelli. |

Series | NASA technical memorandum -- 105382, ICOMP -- 91-29 |

Contributions | Povinelli, Louis A., United States. National Aeronautics and Space Administration. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL17104067M |

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. First-order system least squares (FOSLS) is a recently developed methodology for solving partial differential equations. Among its advantages are that the finite element spaces are not restricted by the inf-sup condition imposed, for example, on mixed methods and that the least-squares functional itself. In this paper, a few dual least‐squares finite element methods and their application to scalar linear hyperbolic problems are studied. The purpose is to obtain L 2 ‐norm approximations on finite element spaces of the exact solutions to hyperbolic partial differential equations of interest.

\The Finite Element Method: Linear Static and Dynamic Finite Element Analysis", by T. J. R. Hughes, Dover Publications, class of methods. More speci cally, Elliptic equations are most commonly associated with a di usive or (Galerkin, Collocation, Least Squares methods, etc) Visit our Course page on Linear FEM for further details. Some types of finite element methods (conforming, nonconforming, mixed finite element methods) are particular cases of the gradient discretization method (GDM). Hence the convergence properties of the GDM, which are established for a series of problems (linear and non-linear elliptic problems, linear, nonlinear, and degenerate parabolic.

On the other hand, the least squares finite element method is ideally suited for non-linear problems regardless of the nature of equations and the nature of the nonlinearities. In this paper the authors investigate the competitiveness of the p-version least square finite more» element formulation (LSFEF) and p-version Galerkin method for non. Abstract Theory of Least-Squares Finite Element Methods. Mathematical Foundations. First-Order Agmon-Douglis-Nirenberg Systems --Part III. Least-Squares Methods for Elliptic Problems. Basic First-Order Systems. Application to Key Elliptic Problems --Part IV. Extensions of Least-Squares Methods to other Problems. The Navier-Stokes Equations.

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Preliminaries and notation In this paper, we present the essential idea of the optimal least-squares finite element method by solving the following second-order elliptic boundary-value problem: V. Vu + u = f(x) inf/, Vu " n -'- g(x) on F, (1) where/2 C R" (n = 2 or 3) is an open bounded convex domain with a piecewise C~ boundary F, x--(x~, x, x3) is a point in n, n = (rim, n2, n.~) is a unit outward Cited by: This book is valuable both for researchers and practitioners working in least-squares finite element methods.

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Optimal least-squares finite element method for elliptic problems. [Bo-Nan Jiang; Louis A Povinelli; United States. National Aeronautics and Space Administration.].

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