Quadrature-Galerkin approximations to solutions of elliptic differential equations
Quadrature-Galerkin approximations to solutions of elliptic differential equations
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, …