In numerical analysis, a superconvergent or supraconvergent method is one which converges faster than generally expected (superconvergence or supraconvergence). For example, in the Finite Element Method approximation to Poisson's equation in two dimensions, using piecewise linear elements, the average error in the gradient is first order. However under certain conditions it's possible to recover the gradient at certain locations within each element to second order.
References
edit- Barbeiro, S.; Ferreira, J. A.; Grigorieff, R. D. (2005), "Supraconvergence of a finite difference scheme for solutions in Hs(0, L)", IMA J Numer Anal, 25 (4): 797–811, CiteSeerX 10.1.1.108.7189, doi:10.1093/imanum/dri018
- Ferreira, J. A.; Grigorieff, R. D. (1998), "On the supraconvergence of elliptic finite difference methods" (PDF), Applied Numerical Mathematics, 28: 275–292, doi:10.1016/S0168-9274(98)00048-8, hdl:10316/4663
- Levine, N. D. (1985), "Superconvergent Recovery of the Gradient from Piecewise Linear Finite-element Approximations" (PDF), IMA J Numer Anal, 5 (4): 407–427, doi:10.1093/imanum/5.4.407
🔥 Top keywords: Akademia e Shkencave e RPS te ShqiperiseAlexandria Ocasio-CortezBilderberg GroupCristiano RonaldoDong XiaowanMinecraftOperation GladioPrimal cutRiot FestStrictly Come Dancing (series 7)Main PageSpecial:SearchWikipedia:Featured picturesKalki 2898 ADUEFA Euro 2024Project 2025Simone Biles.xxx2024 French legislative electionHouse of the DragonDiogo CostaCristiano RonaldoForbidden Door (2024)A Quiet Place: Day OneJan OblakCleopatra2025 ICC Champions TrophyDeaths in 20242024 Copa AméricaPepe (footballer, born 1983)UEFA European ChampionshipCabinet of South AfricaCanada DayNico WilliamsICC Champions TrophyMarine Le PenRoberto MartínezSunisa LeeEmma RaducanuInside Out 2Paul GeorgeThe Bear (TV series)Jude BellinghamNational RallyJoe BidenJordan BardellaMichael J. FoxOpinion polling for the 2024 United Kingdom general electionZac Efron