Orthogonal systems of singular functions and numerical treatment of problems with degeneration of data

DOI10.1023/A:1022862704316zbMath1030.65112OpenAlexW125641344MaRDI QIDQ1871997

Alexei Bespalov

Publication date: 4 May 2003

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022862704316

zbMATH Keywords

finite element method\(p\)-versionsingular solutionelliptic problemsorthogonal systems of singular functionsproblems with degenerated data

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Degenerate elliptic equations (35J70)

Related Items (4)

Numerical analysis on the mortar spectral element methods for Schrödinger eigenvalue problem with an inverse square potential ⋮ Coercive estimate for a boundary value problem with noncoordinated degeneration of the data ⋮ Analysis of a modified Schrödinger operator in 2D: Regularity, index, and FEM ⋮ On the finite element method for elliptic problems with degenerate and singular coefficients

This page was built for publication: Orthogonal systems of singular functions and numerical treatment of problems with degeneration of data