Finite element method for a nonsmooth elliptic equation

DOI10.1007/s11464-010-0001-0zbMath1194.65132OpenAlexW1969362327MaRDI QIDQ977657

Wei Gong, Lili Chang, Ning-Ning Yan

Publication date: 23 June 2010

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-010-0001-0

zbMATH Keywords

algorithmsfinite element methodnumerical experimentssuperconvergencea posteriori error estimatea priori error estimateactive set methodnon-smooth elliptic equation

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) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (4)

Spectral element methods a priori and a posteriori error estimates for penalized unilateral obstacle problem ⋮ Numerical solutions to nonsmooth Dirichlet problems based on lumped mass finite element discretization ⋮ Nonconforming finite element methods for the constrained optimal control problems governed by nonsmooth elliptic equations ⋮ A Newton-like method for solving a non-smooth elliptic equation

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• Primal-Dual Strategy for Constrained Optimal Control Problems
• Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations
• First Order Conditions for Nonsmooth Discretized Constrained Optimal Control Problems

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