The finite volume element method with quadratic basis functions
Copyright policy )The finite volume element method with quadratic basis functions
A box method with quadratic basis functions is considered for the Dirichlet problem for the Poisson equation in polygon regions. The resulting grid systems are specified for square grid triangulations and more general ones. It should be noted that the corresponding matrices are non-symmetrical. Under some conditions on the triangulations, the correctness of the grid problem is shown. An \(O(h^2)\) error estimate is proved.
- Humboldt-Universität zu Berlin Germany
Finite difference methods for boundary value problems involving PDEs, box method, Error bounds for boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, finite volume method, quadratic basis functions, error estimate, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Poisson equation, Dirichlet problem
Finite difference methods for boundary value problems involving PDEs, box method, Error bounds for boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, finite volume method, quadratic basis functions, error estimate, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Poisson equation, Dirichlet problem
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