A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf
.
Quadrature-Galerkin approximations to solutions of elliptic differential equations
1972
Proceedings of the American Mathematical Society
In practice the Galerkin method for solving elliptic partial differential equations yields equations involving certain integrals which cannot be evaluated analytically. Instead these integrals are approximated numerically and the resulting equations are solved to give '"quadrature-Galerkin approximations" to the solution of the differential equation. Using a technique of J. Nitsche, L-a priori error bounds are obtained for the difference between the solution of the differential equation and a class of quadrature-Galerkin approximations.
doi:10.1090/s0002-9939-1972-0315919-2
fatcat:w7j7wa2cyndgdhvachemz4scm4