High-accuracy schemes of the finite element method for systems of degenerate elliptic equations on an interval

DOI10.3103/S1066369X09070032zbMath1181.65141MaRDI QIDQ735986

Sh. I. Tayupov, M. R. Timerbaev, A. D. Lyashko

Publication date: 26 October 2009

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceDirichlet problemfinite element methodweighted Sobolev spacessystemdegenerate elliptic equationcontinuation functionmultiplicative singularity extraction

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) Degenerate elliptic equations (35J70) Second-order elliptic systems (35J47)

Related Items (2)

Error estimates for backward Euler finite element approximations of American call option valuation ⋮ Sharp error estimate for implicit finite element scheme for American put option

Cites Work

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• Finite element approximation of a degenerating second-order elliptic equation in a domain with curvilinear boundary
• Weighted estimates for the solution of the Dirichlet problem with anisotropic degeneration on part of the boundary
• A mixed finite-element method for quasilinear degenerate fourth-order elliptic equations
• Multiplicative extraction of singularities in FEM solvers for degenerate elliptic equations

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