A posteriori error estimates in the finite element method for elliptic BVP with degeneration

DOI10.1134/S0012266114070118zbMath1307.65156MaRDI QIDQ483747

M. R. Timerbaev

Publication date: 17 December 2014

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

convergenceerror estimatesfinite elementelliptic boundary value problemdegenerating coefficient

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)

Cites Work

• Error bounds for \(n\)-dimensional spline-interpolation in weight norms
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• A Local Regularization Operator for Triangular and Quadrilateral Finite Elements
• Overlapping additive Schwarz preconditioners for isotropic elliptic problems with degenerate coefficients
• Some properties of Sobolev spaces with a weight function
• Multiplicative extraction of singularities in FEM solvers for degenerate elliptic equations
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