{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,30]],"date-time":"2026-06-30T03:33:39Z","timestamp":1782790419648,"version":"3.54.5"},"reference-count":23,"publisher":"American Mathematical Society (AMS)","issue":"324","license":[{"start":{"date-parts":[[2020,12,30]],"date-time":"2020-12-30T00:00:00Z","timestamp":1609286400000},"content-version":"am","delay-in-days":366,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1818867"],"award-info":[{"award-number":["1818867"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>We present some new analytical tools for the error analysis of hybridizable discontinuous Galerkin (HDG) methods for linear elasticity. These tools allow us to analyze more variants of the HDG method using the projection-based approach, which renders the error analysis simple and concise. The key result is a tailored projection for the Lehrenfeld\u2013Sch\u00f6berl type HDG (HDG+ for simplicity) methods. By using the projection we recover the error estimates of HDG+ for steady-state and time-harmonic elasticity in a simpler analysis. We also present a semidiscrete (in space) HDG+ method for transient elastic waves and prove it is uniformly-in-time optimal convergent by using the projection-based error analysis. Numerical experiments supporting our analysis are presented at the end.<\/p>","DOI":"10.1090\/mcom\/3499","type":"journal-article","created":{"date-parts":[[2019,11,6]],"date-time":"2019-11-06T09:16:58Z","timestamp":1573031818000},"page":"1745-1782","source":"Crossref","is-referenced-by-count":21,"title":["New analytical tools for HDG in elasticity, with applications to elastodynamics"],"prefix":"10.1090","volume":"89","author":[{"given":"Shukai","family":"Du","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Francisco-Javier","family":"Sayas","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"14","published-online":{"date-parts":[[2019,12,30]]},"reference":[{"issue":"5","key":"1","doi-asserted-by":"publisher","first-page":"2964","DOI":"10.1137\/090775981","article-title":"Multistep and multistage convolution quadrature for the wave equation: algorithms and experiments","volume":"32","author":"Banjai, Lehel","year":"2010","journal-title":"SIAM J. 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