Error estimates for finite-element solutions of elliptic boundary value problems in non-smooth domains

DOI10.4171/ZAA/388zbMath0708.65094MaRDI QIDQ920605

Anna-Margarete Sändig

Publication date: 1990

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

error estimatessingularitiesweighted Sobolev spacesfinite element methodsorder of convergencenon-smooth domainsAubin-Nitsche tricknon-symmetric bilinear forms

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) 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)

Related Items (4)

An analysis of high-frequency Helmholtz problems in domains with conical points and their finite element discretisation ⋮ Optimal control in non-convex domains: a priori discretization error estimates ⋮ Error estimates and adaptive finite element methods ⋮ Optimal control under reduced regularity

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