A generalized finite element method for problems with sign-changing coefficients

To prove the optimal convergence of the standard finite element method, we shall construct a modification of the nodal interpolation operator replacing the standard

For continuous Galerkin finite element methods, there now exists a large amount of literature on a posteriori error estimations for (positive definite) problems in mechanics

The aim of the present study is to develop a methodology based on dual kriging to generate personalized solid finite element models of the complete spine

In addition, we also derive several new results: optimal error estimates are derived for Q ℓ -rectangular FEs (for such elements we don’t know how to obtain error estimates using

Summarizing we see that to obtain the approximation space spanned by 2 N local shape functions given by the spectral basis {ϕ l ij } 2N l=1 the cost is dominated by the number

The goal of this work is to generalize the face penalty technique of [5,6] in order to approximate satisfactorily Friedrichs’ systems using continuous finite elements.. In Section 2

A second enhancement is the implementation of a Jacobi (diagonal) preconditioning, inside the conjugate gradient algorithm: the conjugate gradient direction for the resolution of A.x

The subject ofthis paper is the study of a finite element method of mixed type for the approximation of the biharmonic problem.. This problem is a classical one and it has been