Convergence of the finite element method for an elliptic equation with strong degeneration

DOI10.1134/S1990478914030144zbMath1340.65246MaRDI QIDQ5502056

M. V. Urev

Publication date: 14 August 2015

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencefinite element methodweighted Sobolev spacefirst boundary value problemelliptic equation with degenerationmultiplicative extraction of singularities

Mathematics Subject Classification ID

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) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

THE EFFECT OF APPROXIMATING FUNCTIONS IN THE CONSTRUCTION OF THE STIFFNESS MATRIX OF THE FINITE ELEMENT ON THE CONVERGENCE RATE OF THE FINITE ELEMENT METHOD ⋮ The immersed interface method for Helmholtz equations with degenerate diffusion ⋮ Optimal control in the boundary value problem for elliptic equations with degeneration

Cites Work

• The Fourier singular complement method for the Poisson problem. II: Axisymmetric domains
• Résolution d’un problème aux limites dans un ouvert axisymétrique par éléments finis en $r, z$ et séries de Fourier en $\theta $
• The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations
• Boundary-value problems for elliptic equations degenerating on the boundary of a region
• Multiplicative extraction of singularities in FEM solvers for degenerate elliptic equations
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