
doi: 10.1007/bf00047538
A brief survey with a bibliography of superconvergence phenomena in finding a numerical solution of differential and integral equations is presented. A particular emphasis is laid on superconvergent schemes for elliptic problems in the plane employing the finite element method.
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Bibliography, finite element method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical methods for integral equations, superconvergence, Initial-boundary value problems for second-order parabolic equations, Research exposition (monographs, survey articles) pertaining to numerical analysis, Linear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Initial-boundary value problems for second-order hyperbolic equations, Poisson equation. survey
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Bibliography, finite element method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical methods for integral equations, superconvergence, Initial-boundary value problems for second-order parabolic equations, Research exposition (monographs, survey articles) pertaining to numerical analysis, Linear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Initial-boundary value problems for second-order hyperbolic equations, Poisson equation. survey
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