The effect of quadrature errors in the numerical solution of two- dimensional boundary value problems by variational techniques

DOI10.1007/BF01818691zbMath0233.65056OpenAlexW2094027063MaRDI QIDQ2551312

R. J. Herbold, Richard S. Varga

Publication date: 1971

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136220

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of solutions to single equations (65H05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

The effect of numerical integration on the finite element approximation of linear functionals ⋮ Interpolatory super-convergent discontinuous Galerkin methods for nonlinear reaction diffusion equations on three dimensional domains ⋮ Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces ⋮ Numerische Quadratur bei Projektionsverfahren ⋮ Finite element solution to the second order elliptic problems ⋮ Computational Investigations of Least-Squares Type Methods for the Approximate Solution of Boundary Value Problems

Cites Work

• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Piecewise Hermite interpolation in one and two variables with applications to partial differential equations
• Numerical methods of high-order accuracy for nonlinear boundary value problems. V: Monotone operator theory
• The effect of quadrature errors in the numerical solution of boundary value problems by variational techniques
• On some generalizations of a theorem of A. Markoff
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