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Methods Appl. Mech. Eng.</a> <a href="/?q=in%3A13351" title="Articles in this Issue">104, No. 3, 363-396 (1993)</a>. </div> <div class="abstract"></div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A370249">Cited in <strong>23</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A74S05" title="MSC2020">74S05</a> </td> <td class="space"> Finite element methods applied to problems in solid mechanics </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A74B05" title="MSC2020">74B05</a> </td> <td class="space"> Classical linear elasticity </td> </tr></table> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0775.73248" data-ciurl="/ci/00370249" data-biburl="/bibtex/00370249.bib" data-amsurl="/amsrefs/00370249.bib" data-xmlurl="/xml/00370249.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00370249.pdf" title="Zbl 0775.73248 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/0045-7825(93)90032-S" aria-label="DOI for “Adaptive \(s\)-method for linear elastostatics”" title="10.1016/0045-7825(93)90032-S">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Noor, A. K., Global-local methodologies and their application to nonlinear analysis, Finite Elements Anal. Design, 2, 333-346 (1986)</td> </tr><tr> <td>[2]</td> <td class="space">Dong, S. B., Global-local finite element methods, (Noor, A. K.; Pilkey, W. D., State-of-the-Art Surveys on Finite Element Technology (1983), ASME: ASME New York), 451-474 &middot; <a href="/0527.73073" class="nowrap">Zbl 0527.73073</a></td> </tr><tr> <td>[3]</td> <td class="space">Hirai, I.; Wang, B. P.; Pilkey, W. D., An efficient zooming method for finite element analysis, Internat. J. Numer. Methods Engrg., 20, 1671-1683 (1984) &middot; <a href="/0544.73097" class="nowrap">Zbl 0544.73097</a></td> </tr><tr> <td>[4]</td> <td class="space">Berger, M. J.; Oliger, J., Adaptive mesh refinement for hyperbolic partial differential equations, (Man. Na-83-02 (1983), Computer Science Department, Stanford University: Computer Science Department, Stanford University CA) &middot; <a href="/0536.65071" class="nowrap">Zbl 0536.65071</a></td> </tr><tr> <td>[5]</td> <td class="space">McCormick, S.; Thomas, J., The fast adaptive composite grid method for elliptic boundary value problems, Math. Comp., 46, 439-456 (1986) &middot; <a href="/0594.65078" class="nowrap">Zbl 0594.65078</a></td> </tr><tr> <td>[6]</td> <td class="space">Bramble, J.-H.; Ewing, R. E.; Pasciak, J.-E.; Schatz, A. H., A preconditioning technique for the efficient solution of problems with local grid refinement, Comput. Methods Appl. Mech. Engrg., 67, 149-159 (1988) &middot; <a href="/0619.76113" class="nowrap">Zbl 0619.76113</a></td> </tr><tr> <td>[7]</td> <td class="space">Flaherty, J. E.; Moore, P. K.; Ozturan, C., Adaptive overlapping methods for parabolic systems, (Flaherty, J. E.; Paslow, P. J.; Shephard, M. S.; Vasilakis, J. D., Adaptive Methods for Partial Differential Equations (1989), SIAM: SIAM Philadelphia, PA) &middot; <a href="/0694.65062" class="nowrap">Zbl 0694.65062</a></td> </tr><tr> <td>[8]</td> <td class="space">Mote, C. D., Global-local finite element, Internat. J. Numer. Methods Engrg., 3, 565-574 (1971) &middot; <a href="/0248.65062" class="nowrap">Zbl 0248.65062</a></td> </tr><tr> <td>[9]</td> <td class="space">Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P., The coupling of the finite element method and boundary solution procedures, Internat. J. Numer. Methods Engrg., 11, 355-375 (1977) &middot; <a href="/0347.65048" class="nowrap">Zbl 0347.65048</a></td> </tr><tr> <td>[10]</td> <td class="space">Belytschko, T.; Chang, H. S.; Lu, Y. Y., Variationally coupled finite element-boundary element method, Comput. &amp; Structures, 33, 17-20 (1989) &middot; <a href="/0697.73063" class="nowrap">Zbl 0697.73063</a></td> </tr><tr> <td>[11]</td> <td class="space">Belytschko, T.; Fish, J.; Bayliss, A., The spectral overlay on finite elements for problems with high gradients, Comput. Methods Appl. Mech. Engrg., 81, 71-89 (1990) &middot; <a href="/0729.73200" class="nowrap">Zbl 0729.73200</a></td> </tr><tr> <td>[12]</td> <td class="space">Tang, S., A boundary layer theory — Part 1: Laminated composites in plane stress, J. Compos. Mater., 9, 33-41 (1975)</td> </tr><tr> <td>[13]</td> <td class="space">Engrand, D., Local effects calculations in composite plates by boundary layer method, (Ladeveze, P., Local effects in the Analysis of Structures (1985), Elsevier: Elsevier Amsterdam) &middot; <a href="/0621.73078" class="nowrap">Zbl 0621.73078</a></td> </tr><tr> <td>[14]</td> <td class="space">Carey, G. F., A mesh-refinement scheme for finite element computations, Comput. Methods Appl. Mech. Engrg., 7, 93-105 (1976) &middot; <a href="/0312.65076" class="nowrap">Zbl 0312.65076</a></td> </tr><tr> <td>[15]</td> <td class="space">Melosh, R. J.; Marcal, P. V., An energy basis for mesh refinement of structural continua, Internat. J. Numer. Methods Engrg., 11, 7, 1083-1092 (1977) &middot; <a href="/0359.73065" class="nowrap">Zbl 0359.73065</a></td> </tr><tr> <td>[16]</td> <td class="space">Szabo, B. A.; Basu, P. K.; Rossow, M. P., Adaptive finite element analysis based on the \(p\)-convergence, Research in Computerized Structural Analysis and Synthesis, (NASA Conf. Pub. 2059 (1978)), 43-50</td> </tr><tr> <td>[17]</td> <td class="space">Babuska, I.; Szabo, B. A.; Katz, I. N., The \(p\)-version of the finite element method, SIAM J. Numer. Anal., 18 (1981) &middot; <a href="/0487.65059" class="nowrap">Zbl 0487.65059</a></td> </tr><tr> <td>[18]</td> <td class="space">Diaz, A. R.; Kikuchi, N.; Taylor, J. E., A method of grid optimization for finite element methods, Comput. Methods Appl. Mech. Engrg., 41, 29-45 (1983) &middot; <a href="/0509.73071" class="nowrap">Zbl 0509.73071</a></td> </tr><tr> <td>[19]</td> <td class="space">M. Edwards, J.T. Oden and L. Demkowicz, An \(hr\); M. Edwards, J.T. Oden and L. Demkowicz, An \(hr\) &middot; <a href="/0770.76042" class="nowrap">Zbl 0770.76042</a></td> </tr><tr> <td>[20]</td> <td class="space">Demkowicz, L.; Oden, J. T.; Rachowicz, W.; Hardy, O., Toward a universal \(h-p\) finite element strategy, Part 1. Constrained approximation and data structure, Comput. Methods Appl. Mech. Engrg., 77, 79-112 (1989) &middot; <a href="/0723.73074" class="nowrap">Zbl 0723.73074</a></td> </tr><tr> <td>[21]</td> <td class="space">Babuska, I., The \(p\) and \(h-p\) version of the finite element method. The state of the art, (Vought, R., Proc. of Finite Element Method Workshop (1987), Springer: Springer Berlin) &middot; <a href="/0665.73060" class="nowrap">Zbl 0665.73060</a></td> </tr><tr> <td>[22]</td> <td class="space">Georges, M. K., Automated adaptive modeling system for the \(h-p\) version of the finite element method, (Ph.D thesis, SCOREC (1989), Rensselaer Polytechnic Institute: Rensselaer Polytechnic Institute Troy, NY) &middot; <a href="/0778.65076" class="nowrap">Zbl 0778.65076</a></td> </tr><tr> <td>[23]</td> <td class="space">Zienkiewicz, O. C.; Zhu, J. Z.; Gong, N. G., Effective and practical \(h-p\)-version adaptive analysis procedures for the finite element method, Internat. J. Numer. Methods Engrg., 28, 879-891 (1989)</td> </tr><tr> <td>[24]</td> <td class="space">Fish, J., The \(s\)-version of the finite element method, (SCOREC report no. 18-1990. SCOREC report no. 18-1990, Comput. &amp; Structures, 43 (1992)), 539-547, (3) &middot; <a href="/0775.73247" class="nowrap">Zbl 0775.73247</a></td> </tr><tr> <td>[25]</td> <td class="space">Fish, J.; Markolefas, S., The \(s\)-version of the finite element method for multilayer laminates, Internat. J. Numer. Methods Engrg., 33, 5, 1081-1105 (1992)</td> </tr><tr> <td>[26]</td> <td class="space">J. Fish, N. Fares and A. Nath, Micromechanical elastic cracktip stresses in a fibrous composite, Internat. J. Fracture, in press.; J. Fish, N. Fares and A. Nath, Micromechanical elastic cracktip stresses in a fibrous composite, Internat. J. Fracture, in press.</td> </tr><tr> <td>[27]</td> <td class="space">Fish, J., Hierarchical modeling of discontinuous fields, Comm. Appl. Numer. Methods, 8, 443-453 (1992) &middot; <a href="/0757.73054" class="nowrap">Zbl 0757.73054</a></td> </tr><tr> <td>[28]</td> <td class="space">Y.H. Kim, I. Levit and Gary Stanley, A finite element adaptive refinement technique that avoids multipoint constraints and transition zones, J. Appl. Mech., in press.; Y.H. Kim, I. Levit and Gary Stanley, A finite element adaptive refinement technique that avoids multipoint constraints and transition zones, J. Appl. Mech., in press.</td> </tr><tr> <td>[29]</td> <td class="space">Nath, A., Recent advances in the \(s\)-version of the finite element method, (Master Thesis, SCOREC (1992), Rensselaer Polytechnic Institute: Rensselaer Polytechnic Institute Troy, NY)</td> </tr><tr> <td>[30]</td> <td class="space">Kelly, D. W.; Gago, J. P.; Zienkiewicz, O. C.; Babuska, I., A posteriori error analysis and adaptive processes in the finite element method: Part I-Error analysis, Internat. J. Numer. Methods Engrg., 19, 1593-1619 (1983) &middot; <a href="/0534.65068" class="nowrap">Zbl 0534.65068</a></td> </tr><tr> <td>[31]</td> <td class="space">Babuska, I.; Yu, D., Asymptotically exact a-posteriori error estimator for bilinear elements, (Technical Note BN-1050 (1986), Institute for Physical Science and Technology, Laboratory for Numerical Analysis, University of Maryland: Institute for Physical Science and Technology, Laboratory for Numerical Analysis, University of Maryland College Park, MD) &middot; <a href="/0619.73080" class="nowrap">Zbl 0619.73080</a></td> </tr><tr> <td>[32]</td> <td class="space">Adjerid, S.; Flaherty, J. E., Second-order finite element approximations and a posteriori error estimation for two-dimensional parabolic systems, (Technical Report no. 87-1 (1987), Rensselaer Polytechnic Institute, Department of Computer science: Rensselaer Polytechnic Institute, Department of Computer science Troy, NY) &middot; <a href="/0628.65104" class="nowrap">Zbl 0628.65104</a></td> </tr><tr> <td>[33]</td> <td class="space">Baehmann, P. L.; Shephard, M. S.; Flaherty, J. E., A posteriori error estimation for triangular and tetrahedral quadratic elements using interior residuals, (Technical Report no. 14-1990 (1987), Scientific Computation Research Center, Rensselaer Polytechnic Institute, Department of Computer science: Scientific Computation Research Center, Rensselaer Polytechnic Institute, Department of Computer science Troy, NY) &middot; <a href="/0825.73837" class="nowrap">Zbl 0825.73837</a></td> </tr><tr> <td>[34]</td> <td class="space">Chae, S. W., On the automatic generation of near-optimal meshes for the 3-D linear elastic finite element analysis, (Ph.D Thesis (1988), Massachusetts Institute of Technology: Massachusetts Institute of Technology Cambridge, MA)</td> </tr><tr> <td>[35]</td> <td class="space">Bathe, K. J., Some issues for reliable finite element analysis, (Bathe, K. J.; Owen, D. R.J., Reliability of Methods for Engineering Analysis, Proc. Internat. Conf., University College. Reliability of Methods for Engineering Analysis, Proc. Internat. Conf., University College, Swansea (1986)) &middot; <a href="/0511.73065" class="nowrap">Zbl 0511.73065</a></td> </tr><tr> <td>[36]</td> <td class="space">Gladwell, G. M., Practical Approximation Theory (1974), Univ. of Waterloo Press: Univ. of Waterloo Press Ontario</td> </tr><tr> <td>[37]</td> <td class="space">Yerry, M. A.; Shephard, M. S., Finite element mesh generation based on the modified-quadtree approach, IEEE Comput. Graphics Appl., 3, 1, 39-46 (1983)</td> </tr><tr> <td>[38]</td> <td class="space">B.A. Szabo, Estimation and control of error based on \(p\); B.A. Szabo, Estimation and control of error based on \(p\)</td> </tr><tr> <td>[39]</td> <td class="space">Niu, Q.; Shephard, M. S., Techniques for pointwise stress error estimates in an adaptive analysis, (Technical Report (1990), Scientific Computation Research Center, Rensselaer Polytechnic Institute, Department of Computer Science: Scientific Computation Research Center, Rensselaer Polytechnic Institute, Department of Computer Science Troy, NY)</td> </tr><tr> <td>[40]</td> <td class="space">Fish, J.; Markolefas, S.; Nath, A., (MSRC—Mesh Superposition Research Code. User Manual (1991), Scientific Computation Research Center, Rensselaer Polytechnic Institute: Scientific Computation Research Center, Rensselaer Polytechnic Institute Troy, NY)</td> </tr><tr> <td>[41]</td> <td class="space">Adjerid, S.; Flaherty, J. E.; Wang, Y., A posteriori error estimation with finite element method of lines for one-dimensional parabolic systems, (Technical Report 91/1 (1991), Rensselaer Polytechnic Institute: Rensselaer Polytechnic Institute Troy, NY) &middot; <a href="/0791.65070" class="nowrap">Zbl 0791.65070</a></td> </tr><tr> <td>[42]</td> <td class="space">S. Adjerid and J.E. Flaherty, A posteriori error estimation for two-dimensional parabolic partial differential equations, unpublished.; S. Adjerid and J.E. Flaherty, A posteriori error estimation for two-dimensional parabolic partial differential equations, unpublished. &middot; <a href="/0628.65104" class="nowrap">Zbl 0628.65104</a></td> </tr><tr> <td>[43]</td> <td class="space">Szabo, B. A.; Sharman, G. J., Hierarchic plate and shell models based on \(p\)-extension, 26, 1855-1881 (1988) &middot; <a href="/0661.73048" class="nowrap">Zbl 0661.73048</a></td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH&nbsp;Open. 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