Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients

DOI10.1090/S0025-5718-01-01378-3zbMath1014.65121OpenAlexW2003583081WikidataQ56001648 ScholiaQ56001648MaRDI QIDQ4780362

Olof B. Widlund, Andrew V. Knyazev

Publication date: 19 November 2002

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01378-3

zbMATH Keywords

regularitySobolev spacefinite elementsHilbert spacediscontinuous coefficientsnumerical experimentsdiffusion equationRitz-Galerkin methodLavrentiev regularizationuniform error estimatesRitz approximation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Degenerate elliptic equations (35J70) PDEs with low regular coefficients and/or low regular data (35R05)

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