The finite element method with penalty
Copyright policy )The finite element method with penalty
An application of the penalty method to the finite element method is analyzed. For a model Poisson equation with homogeneous Dirichlet boundary conditions, a variational principle with penalty is discussed. This principle leads to the solution of the Poisson equation by using functions that do not satisfy the boundary condition. The rate of convergence is discussed.
Error bounds for boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
Error bounds for boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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