Estimation of the convergence rate of difference solutions to generalized solutions of the Dirichlet problem for the Helmholtz equation of class \(\overset\circ W^ 1_ 2(\Omega)\) in a convex domain

DOI10.1007/BF01056766zbMath0607.65059MaRDI QIDQ1085583

T. G. Shablij, S. A. Vojtsekhovskij, Volodymyr L. Makarov

Publication date: 1986

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

generalized solutionsDirichlet problemconvergence rateHelmholtz equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

• Bounds for a class of linear functionals with applications to Hermite interpolation
• Projection Methods for Dirichlet's Problem in Approximating Polygonal Domains with Boundary-Value Corrections
• Unnamed Item

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