A Family of Rectangular Mixed Elements with a Continuous Flux for Second Order Elliptic Problems

DOI10.1137/S0036142903435247zbMath1081.65106OpenAlexW2016534590MaRDI QIDQ4653940

Todd Arbogast, Mary Fanett Wheeler

Publication date: 1 March 2005

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142903435247

zbMATH Keywords

convergenceerror estimatesnumerical experimentscontinuous fluxsecond order elliptic problemsfluid flow in a porous mediumcoupling of Stokes and Darcy flowsrectangular mixed elements

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

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