Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations

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DOI10.1090/S0025-5718-07-01951-5zbMath1118.65118OpenAlexW1991817777MaRDI QIDQ3433749

Erik Burman, Alexandre Ern

Publication date: 2 May 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-07-01951-5

zbMATH Keywords

advection-diffusion equations advection equation \(hp\)-error estimates \(hp\)-interpolation and projection \(hp\)-inverse trace inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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