An exponential rate of convergence of the finite element method for the Dirichlet problem with singularity of a solution

zbMATH Open0968.65079MaRDI QIDQ2702709

Alex Bespalov, Victor A. Rukavishnikov

Publication date: 20 September 2001

zbMATH Keywords

convergenceDirichlet problemfinite element methoderror boundsingular solution\(h\)-\(p\) versionsecond-order elliptic equationsingular functionsdegenerate problem

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)

Related Items (3)

On convergence rate of some iterative methods for bilinear and bicubic finite element schemes for the dissipative Helmholtz equation with large values of a singular parameter ⋮ An exponential rate of convergence of the finite element method for the Dirichlet problem with a singularity of the solution. ⋮ Title not available (Why is that?)

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