CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMiIgaGVpZ2h0PSIzMiIgZmlsbD0ibm9uZSI+PHBhdGggZmlsbD0iI0IyMEYwMyIgZD0iTTE2IDNhMTMgMTMgMCAxIDAgMTMgMTNBMTMuMDE1IDEzLjAxNSAwIDAgMCAxNiAzbTAgMjRhMTEgMTEgMCAxIDEgMTEtMTEgMTEuMDEgMTEuMDEgMCAwIDEtMTEgMTEiLz48cGF0aCBmaWxsPSIjQjIwRjAzIiBkPSJNMTcuMDM4IDE4LjYxNUgxNC44N0wxNC41NjMgOS41aDIuNzgzem0tMS4wODQgMS40MjdxLjY2IDAgMS4wNTcuMzg4LjQwNy4zODkuNDA3Ljk5NCAwIC41OTYtLjQwNy45ODQtLjM5Ny4zOS0xLjA1Ny4zODktLjY1IDAtMS4wNTYtLjM4OS0uMzk4LS4zODktLjM5OC0uOTg0IDAtLjU5Ny4zOTgtLjk4NS40MDYtLjM5NyAxLjA1Ni0uMzk3Ii8+PC9zdmc+);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="120"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'non-interactive',cRay: '9134f98ccb25d083',cH: 'g.AWIFiESGbXnOdseTjHxpQRgYJMXJiGYuMU8EcSy6Y-1739786892-1.2.1.1-95YzVc3KwM5kl3yKDFxzukdSIimnJBNIHIPM8IPatTqRD6eDGF09Ing3b2aEYSi.',cUPMDTk: "\/abstracts\/4041\/a-posteriori-analysis-of-the-spectral-element-discretization-of-heat-equation?__cf_chl_tk=gvZirLv.8roahj6E7uosrcXuBdQd6ha0DCgvpClPyDs-1739786892-1.0.1.1-x0kVU9vXrwsUGHnWP780PapL1x7aiWlOtv6Bnz_ogpI",cFPWv: 'b',cITimeS: '1739786892',cTTimeMs: '1000',cMTimeMs: '120000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/4041\/a-posteriori-analysis-of-the-spectral-element-discretization-of-heat-equation?__cf_chl_f_tk=gvZirLv.8roahj6E7uosrcXuBdQd6ha0DCgvpClPyDs-1739786892-1.0.1.1-x0kVU9vXrwsUGHnWP780PapL1x7aiWlOtv6Bnz_ogpI",md: "xEGhyyxSd1wtFk_Nw7MINQMCRga_WmjSaQkGsFZjQDE-1739786892-1.2.1.1-GGiOlZZfOpWDpirnEWJIwxP2Xh9MPlwUJ6JqkXNdiqfxpP5fs_.bXIhotvAObHJg9LPCMxjbkWxalz3QeIupTCUENdXV9ZAbiu9NLDTVJ1cLbxyTC5RHaItvpq13rJ96i.pJqHW6UvV3ir7o4RS5r_kLp4hyLxiOzZXVtnivRjSuflNbT_CNfhq.ryjnJMDY1O8z2Ds0fG0LIcBBO9gU_RzfiFamAZuR0rDg3NyAmQnjdGcd9yGRUUTIxGh6V7OFsJbyvuNg8bsPtnpRi0OZxUW09tgbVLAmSTCyu3fS_qzvZNi1wJqPfVlp2X4S0llgxBuGaYkKddb5CUGvn_Y84lxYfBB1hn2IEsGV1R5a2ayF4EMf4niYPWc7hARcOdgXxKNKqmG7WfDubTlsLKnSeBpzHNjkKB6aMANwHBBXwscs5kpEgrt9mdw5DOZT600Ej0Gx7IvwIDz41WN99Op6KWM7cBfi4hi0q40hYyBf4QQ_sHmrOYlRhYTIhYi_URcVVFZ1Ef6_xbvS249XRrYGITOxnG8r5JBH6GJRD0IQ0Z6FiVlkpaCfPVYlmS7e31YGsYJlvP2MhcbtrTGcZLtbF6m8lapa96anKkaAbOpEVX0tmzen0vfHhU2TNWp92y5uq.NYu8FIzMaKIWGnFXSKTFujPRqgnW1p0x6gjrJGdhgwE3.M42HxSUr6EoJtABcsjfQipYwebs1jyXY3nAXGwkNqAlrWXVmLQK2THptWY.lq.jOcM1sRb_gZqqNMb9eTxqNijyfvRupjenwtZ3tW1YHZI7rfB0FY3rEU5_k8tLKNDFMePcFQOMEuDmIOJKKPZGS00DdFJi4cwXSO3nomGy7_De.8QP5_.sqzjzPCtkutn7uUL3wlTQGAYSBMmQeeq0jUsjA89MZWtSyr.CwjG2eGJ1Sh4rXeBrpHjpnwx9gRxGeLTwWXDFfDitXKMFw9iBf8pYl3yiDFTi4.9.0TSIRiyrqgz5tzT.06828_mttTu8MNTWkAsfiQe8xTiQkhF4al4uB0PHKgLw6mEnU0ZpBynuHMVYMcWb2y_S4BmsqchWbQaEWVIg00ETYSAg9uHc.0_zkfpsACMq99T_SMyaQyTHkZSXdo3gi4r0v.NLbG6xh9AnxlJKAtLeCbfEkuQ7wDpa0RznftGFzJ0gx9aZFcurbYQ_EwboPX_lFGUh92IAi4iZxXBRcCHCZeY33aV3qCRn54UhbXxCIHx.iEEm7QAqGfngew1wlyxNi19LYqcU1H_WKD1cMT9RNrCwyrT6kt2wGkJFC7yHtSIphFdC5sEFKM2a5R7EgmGkIx0N9.U_MDTeEBi124PDYMl7VasE1Fvl1xihRv8DOhzBYKYSyHEgRjLOenlxP38Vxs7eUtKo7Z.Fb_TVQcYIOXP12WQXRK4v4VAHnGb.30KiGu4FR9x7YUbYJWYECqJfwPcbh5EgXhOOG_Dm5We8bsH.0nyALqHLk3QfqxpjnlUffavwOB6mld9b._1ucmmN6bIKhWrdDkIXlo4m35TpmIZvLJW4qHRQ7JOCgBXb1e7hiwkqtxXx86fly1jdYR5pE7VrcnNt0PE0Lvhg_OcV9JrwJrraWs1o.wLCiQHOYRKk7jA_pGpGqaG_qWfWjFQMY7OMf4ld7WUDXTniaFqbJRhodvxkTQqZiFu7jkHMy.2c5ts_4R.PiLU5i.L3UK.yFjj6sMWdCrJ8VTfNgQrtEWCgQsP8wu0UE4g7y_T1M3DDXAErqjZj4lsjOEY2B.wlluZDfGdYDxnBlv07tz4Lb014_oo7A.yyvcm3UqReq49v5ZJeTz_tIUGgHZT3GpQ1tHzPokdf5M8Z8BHc3xNAuaGuaDq164L5SWQMASspuewyKJkLxX4ydQA1_Ic9pfGu8TmiIxFkMNAH3_OkNjLYYLamRlxNLiHbUt6TezhKf2.KU5VYnvxSPwqtPp0KNr6Maln3.xlxeFY4xbNttTVXV70qt5.ZO.Im7HHDBypj23Vtp5kiE1qDVgTFSeq2qrnmzFMnCKU82zTD8RgBqHbkWUcqkb1D0I7OEQS304vH03piFtQ34O.Fx9BW5EhUlvPEUC0_nxoLhbo2rl50VsAtPCTUzy",mdrd: "1ZMn6EN8bGMRL_MqfmwarPW__1tVq4DawQBKW02wqJI-1739786892-1.2.1.1-6GmlvuDdQqkfTUQdT0OV5Olsvm2b9q1fA9d4GpOYzsi5UxcgdiUU.9xA.s2IXRjub5z_aeek0kI28VWLoA9QZx.JaFhnU3WSMrvNLRdOq6ChpNJ.BhCsEte.CjCJrhkIUVXyXOxdK4ZZ78RQPcGvlVUHjqdZRHj.PPgVSqBe1uqpx6WM48xPcotBLxJQFWvB3DTzhmTlyXU8yw8hUxskTBMDH9QJvO0LwXEUD4QCeJ0cYPEossJYGLvVzMhLSr3f1RCALHNY0qG26aXW9sVkUo9MMEO4ogyh5VnIAHjgKLLz6eSJa_jHCe5yjmX8w27bdBq9L_eT1EOQkEJoSo58I_kvgLr6vRl6vJrN4WQU40.jf85O.8AkOakhGaOYfhZvdZncjNTvZARQvDvld0Z5x9Dtv0dBCzcNq4Izf43G_klVQtY_eH7dJnCUnP0kwKwGCdFYiJw.Kb68Jx.GTlc.00lxeM7G_lRJmEYziA.QRLiioBlrLh7CxgJRbMsDtAA3TjsVzfnhNBX63Os44ZwIfdZG8FTtklgNGPUqSwS3_YJ5apzrelTR3B19YbItLk.mwJmIu2vUNY0m9.jWtvDf3RAAvGaaDAhYm4TzQH4LSDS6zSq__ixOYI14jIMNW.9p0n7cvcvbeP0j9UWlEBcA8Nv6bwjYx76qsLl9jkt4_HmHeGpvTI9stPl_xNMGYLg2Mbo4CJnf7I.YCthZIiLjXxC0ciUtkgLrdzPjIRs0zv2Ybw.r1e6pu2NJGmNImd4Em7tdZeB30xZp93Vza_ZiN_DO6ENbf12L0oJG6KXQMLOWCAE8ccT2oLEmOFWosCRc69MK06L44UYaOJ3nLT00s.zO.h56gfDAP3sGIkt7YTz3mMRiQ_7k1aoeAxomgYS25cZXEQAAMNcDxP5eNAbnIFGv6DOD8Sg3nUknuflDy5TzUVoKG7qx9GE_PvMvahCmHlBO8Vop3ZUgm4eJso.6lMkxhZWJpqn0vBLiw4j0FNwjBnc_btB0s63G_7zM6arzdXJMd1eUYpNf_3Iv.MqYTkAT8ZPB6HSUj0lDvmPRM5GKFziF0dWJ2Gov7E4PbjgQAmdl.MJf8JOPp9VNYs4XWF8UyXz6t4NpAWo4On9OrZvOcxPAm_4Q6EtdFOb8kNxLEnhUzVw46lV5iBMidyBTvVxDRpPreQR1SS6spJb31w7z6caPq2HnYfgra0QkyWfoi37E7aQ4Aj_oKjasDEi3Nasn.lzuvAx6iz_.vdL4R_uwHgf_ADIiROV1ZK.hTBU0J8tCxV3_UpmHEje5n5_Dv6OHDuSP1UoyELHkoccJLCDWy.AM9ima26JRHtbdqPYQLt8FmcmVt5hpeDs5vtbEteUs64dnPxxVj7.uU1POuWcbTH3aeh6kTV1p7EKq3Ze_mNNPx1wFYbKtN3kQcLKl3kwrlI4y9Li5D_CLxsLDxm_yAZsEv5rrAXKRTqhNzMt.6mpe66rMvrUfGPDw7no63e5SnZewAX6dv1sEHPGVdpQ.SdOP9kzfng4y24N2zMqdK4wBONwTb0OZjhY_6H4RCipN9SzcNCJUQiYX1EAxcpOWnk42bbtxBIlUJ4uy1yaMA47RGHkzUgUe1Xbf.pBmoZDzvNJdDL9IkzHf0uyYEs_HvKWw1Gi3pJ06v35ddOVH39sg_OOaO9OsRlvzNypHvuSLdXc1Icv1jJY3HoeEu8WRYeyDg8YgFNOMKpJCvuyy60x80lD8cY5Q.LtMN9rDL0UdSR3V4VET50osPDbSXJCgxcdiQDofj7Vqwo4lrDJNHrvZ.NNu6_t6XdVKiyiHe.1S.mSL0qLCxSFGD_foKq5U2O8.zYs9NEWc8KSGOdDGGtM2Tra2hTzLGDDII8_HsKYWRmIut1Kzxm1cHbtzRjIkhKNY274iY3URzjYCusb6v_XQAu_6sFSsH9Gp.EVgwwompBeWbTvsOiMWc4EYP7g"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=9134f98ccb25d083';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/4041\/a-posteriori-analysis-of-the-spectral-element-discretization-of-heat-equation?__cf_chl_rt_tk=gvZirLv.8roahj6E7uosrcXuBdQd6ha0DCgvpClPyDs-1739786892-1.0.1.1-x0kVU9vXrwsUGHnWP780PapL1x7aiWlOtv6Bnz_ogpI" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>