Asymptotically optimal algorithms for some stationary ill-conditioned problems on composite manifolds

zbMATH Open1059.65102MaRDI QIDQ1878720

Evgeniĭ Dyakonov

Publication date: 8 September 2004

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

zbMATH Keywords

error estimatesHilbert spaceboundary value problemscondition numberelliptic equationsnonlinear equationsoperator equationsasymptotically optimal algorithmsBakhvalov-Kolmogorov principlestratified manifoldsquadratic optimization problemsill-conditioned variational problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with nonlinear operators (65J15) Existence theories for optimal control problems involving partial differential equations (49J20) Stratified sets (58A35) Equations in function spaces; evolution equations (58D25)

Related Items (1)

The Bakhvalov-Kolmogorov principle and asymptotically optimal algorithms for stationary problems in weakened Sobolev spaces.

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