caa a22 4500 606244441 CHVBK 20210128105231.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s12044-015-0239-2 doi (NATIONALLICENCE)springer-10.1007/s12044-015-0239-2 h - p Spectral element methods for three dimensional elliptic problems on non-smooth domains, Part-II: Proof of stability theorem [Elektronische Daten] [P DUTT, AKHLAQ HUSAIN, A VASUDEVA MURTHY, C UPADHYAY] This is the second of a series of papers devoted to the study of h-p spectral element methods for three dimensional elliptic problems on non-smooth domains. The present paper addresses the proof of the main stability theorem. We assume that the differential operator is a strongly elliptic operator which satisfies Lax-Milgram conditions. The spectral element functions are non-conforming. The stability estimate theorem of this paper will be used to design a numerical scheme which give exponentially accurate solutions to three dimensional elliptic problems on non-smooth domains and can be easily implemented on parallel computers. Indian Academy of Sciences, 2015 Spectral element method nationallicence vertex singularity nationallicence edge singularity nationallicence vertex-edge singularity nationallicence modified coordinates nationallicence geometric mesh nationallicence quasi uniform mesh nationallicence stability estimate nationallicence DUTT P. Department of Mathematics & Statistics, Indian Institute of Technology, 208 016, Kanpur, India aut HUSAIN AKHLAQ Department of Mathematics, The LNM Institute of Information Technology, 302 031, Jaipur, India aut VASUDEVA MURTHY A. TIFR Centre For Applicable Mathematics, Tata Institute of Fundamental Research, 560 065, Bangalore, India aut UPADHYAY C. Department of Aerospace Engineering, Indian Institute of Technology, 208 016, Kanpur, India aut Proceedings - Mathematical Sciences Springer India 125/3(2015-08-01), 413-447 0253-4142 125:3<413 2015 125 12044 https://doi.org/10.1007/s12044-015-0239-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s12044-015-0239-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- DUTT P. Department of Mathematics & Statistics, Indian Institute of Technology, 208 016, Kanpur, India aut NATIONALLICENCE 700 1- HUSAIN AKHLAQ Department of Mathematics, The LNM Institute of Information Technology, 302 031, Jaipur, India aut NATIONALLICENCE 700 1- VASUDEVA MURTHY A. TIFR Centre For Applicable Mathematics, Tata Institute of Fundamental Research, 560 065, Bangalore, India aut NATIONALLICENCE 700 1- UPADHYAY C. Department of Aerospace Engineering, Indian Institute of Technology, 208 016, Kanpur, India aut NATIONALLICENCE 773 0- Proceedings - Mathematical Sciences Springer India 125/3(2015-08-01), 413-447 0253-4142 125:3<413 2015 125 12044 SWISSBIB 606244441