Accession Number : ADA256740


Title :   Highly Accurate Adaptive Finite Element Schemes for Nonlinear Hyperbolic Problems


Descriptive Note : Final rept. Jul 1989-Jun 1992


Corporate Author : TEXAS INST FOR COMPUTATIONAL MECHANICS AUSTIN


Personal Author(s) : Oden, J T


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a256740.pdf


Report Date : 28 Aug 1992


Pagination or Media Count : 106


Abstract : This document is a final report of research activities supported under General Contract DAAL03-89-K-0120 between the Army Research Office and The University of Texas at Austin from July 1, 1989 through June 30, 1992. The project supported several Ph.D. students over the contract period, two of which are scheduled to complete dissertations during the 1992-93 academic year. Research results produced during the course of this effort led to 6 journal articles, 5 research reports, 4 conference papers and presentations, 1 book chapter, and two dissertations (nearing completion). It is felt that several significant advances were made during the course of this project that should have an impact on the field of numerical analysis of wave phenomena. These include the development of high-order, adaptive, hp-finite element methods for elastodynamic calculations and high-order schemes for linear and nonlinear hyperbolic systems. Also, a theory of multi-stage Taylor-Galerkin schemes was developed and implemented in the analysis of several wave propagation problems, and was configured within a general hp-adaptive strategy for these types of problems. Further details on research results and on areas requiring additional study are given in the Appendix.


Descriptors :   *FINITE ELEMENT ANALYSIS , *NONLINEAR PROPAGATION ANALYSIS , *STRESS WAVES , *WAVE PROPAGATION , ARMY , ARMY RESEARCH , BOOKS , CONTRACTS , DOCUMENTS , ERRORS , FELTS , IMPACT , NUMERICAL ANALYSIS , PROPAGATION , STRATEGY , STUDENTS , TEXAS , THEORY , THESES , UNIVERSITIES


Subject Categories : Numerical Mathematics
      Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE