AbstractWe establish interpolation error estimates for the hp-extension of Nédélec's curl- and divergence-conforming three-dimensional finite elements. Using these interpolation estimates, we investigate the use of higher-order edge finite elements for the linear three-dimensional magnetostatic problem. Our estimates show that the standard mixed method for the magnetostatic problem can be approximated to optimal order in both h and p
Edge (or Nédélec) finite elements are theoretically sound and widely used by the computational elect...
We give here a simplified presentation of the lowest order Serendipity Virtual Element method, and s...
In this paper, we introduce a novel a posteriori error estimator for the conforming finite element a...
AbstractWe establish interpolation error estimates for the hp-extension of Nédélec's curl- and diver...
The application of periodic boundary conditions in the analysis of three-dimensional magnetic fields...
A mixed variational formulation for the solution of three dimensional magnetostatic problems, based ...
The results of the application of three well-known 3-D magnetic vector potential (MVP)-based finite-...
The goal of the presented work is the efficient computation of Maxwell boundary and eigenvalue probl...
We extend the mimetic finite difference (MFD) method to the numerical treatment of magnetostatic fie...
Abstract. In this paper we present a nonconforming finite element method for solving fourth order cu...
International audienceWe derive H(curl)-error estimates and improved L 2-error estimates for the Max...
A new least-squares finite element method is developed for the curl-div magnetostatic problem in Lip...
The effects of finite-element grid geometries and associated ill conditioning were studied in single...
Abstract-- The mathematical theory of finite elements is used to obtain convergence estimations for ...
Abstract—This paper discusses properties of the curl–curl matrix in the finite element formulation w...
Edge (or Nédélec) finite elements are theoretically sound and widely used by the computational elect...
We give here a simplified presentation of the lowest order Serendipity Virtual Element method, and s...
In this paper, we introduce a novel a posteriori error estimator for the conforming finite element a...
AbstractWe establish interpolation error estimates for the hp-extension of Nédélec's curl- and diver...
The application of periodic boundary conditions in the analysis of three-dimensional magnetic fields...
A mixed variational formulation for the solution of three dimensional magnetostatic problems, based ...
The results of the application of three well-known 3-D magnetic vector potential (MVP)-based finite-...
The goal of the presented work is the efficient computation of Maxwell boundary and eigenvalue probl...
We extend the mimetic finite difference (MFD) method to the numerical treatment of magnetostatic fie...
Abstract. In this paper we present a nonconforming finite element method for solving fourth order cu...
International audienceWe derive H(curl)-error estimates and improved L 2-error estimates for the Max...
A new least-squares finite element method is developed for the curl-div magnetostatic problem in Lip...
The effects of finite-element grid geometries and associated ill conditioning were studied in single...
Abstract-- The mathematical theory of finite elements is used to obtain convergence estimations for ...
Abstract—This paper discusses properties of the curl–curl matrix in the finite element formulation w...
Edge (or Nédélec) finite elements are theoretically sound and widely used by the computational elect...
We give here a simplified presentation of the lowest order Serendipity Virtual Element method, and s...
In this paper, we introduce a novel a posteriori error estimator for the conforming finite element a...