Superconvergence of the derivative patch recovery technique and a posteriorii error estimation

Conference · Sun Dec 31 00:00:00 EST 1995

OSTI ID:198209

Zhang, Z ^[1]; Zhu, J Z ^[2]

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1. Texas Tech Univ., Lubbock, TX (United States)
2. UES Inc., Annapolis, MD (United States)

The derivative patch recovery technique developed by Zienkiewicz and Zhu for the finite element method is analyzed. It is shown that, for one dimensional problems and two dimensional problems using tensor product elements, the patch recovery technique yields superconvergence recovery for the derivatives. Consequently, the error estimator based on the recovered derivative is asymptotically exact.

• OSTI ID: 198209
• Report Number(s): CONF-9307220-Vol.75; TRN: 96:001696-0021
• Resource Relation: Conference: Modeling, mesh generation and adaptive numerical methods for partial differential equations program, Minneapolis, MN (United States), 6-23 Jul 1993; Other Information: PBD: 1995; Related Information: Is Part Of Modeling, mesh generation, and adaptive numerical methods for partial differential equations; Babuska, I. [ed.] [Univ. of Maryland, College Park, MD (United States). Inst. for Physical Science and Technology]; Henshaw, W.D. [ed.] [Los Alamos National Lab., NM (United States)]; Oliger, J.E. [ed.] [Research Inst. for Advanced Computer Science, Moffet Field, CA (United States)]; Flaherty, J.E. [ed.] [Rensselaer Polytechnic Inst., Troy, NY (United States)]; Hopcroft, J.E. [ed.] [Cornell Univ., Ithaca, NY (United States). Coll. of Engineering]; Tezduyar, T. [ed.] [Army High Performance Computing Research Center, Minneapolis, MN (United States)]; PB: 501 p.
• Country of Publication: United States
• Language: English

Related Subjects

99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
FINITE ELEMENT METHOD
CONVERGENCE
BOUNDARY-VALUE PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
ERRORS