On application of differential geometry to computational mechanics

DOI10.1016/S0045-7825(97)00104-7zbMath0926.74117WikidataQ115339828 ScholiaQ115339828MaRDI QIDQ1267855

Nina Lautersztajn-S, Alf Samuelsson

Publication date: 2 December 1999

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

configuration spacegeodesic curvesdistortion measuresgeodesic coordinatesinverse mappingsabstract infinite-dimensional manifold of mappingseight-node isoparametric elementsgeometrically exact beam finite strain formulationhybrid stress membrane elements with curved boundariesisoparametric quadrilateral hybrid stress four- and eight-node elementslinearization of algorithms

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element methods applied to problems in fluid mechanics (76M10) Classical differential geometry (53A99)

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Spectral variational multiscale model for transient dynamics of phononic crystals and acoustic metamaterials, A finite element method for unstructured grid smoothing., Unstructured surface mesh adaptation using the Laplace-Beltrami target metric approach

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