The influence of the time derivative formula and time adaptive predictor-corrector scheme on the solution accuracy and computation time is studied. An exemplary electromagnetic field problem is solved by the finite element method. Backward differentiation (BDF) formulae of higher order are applied
We formulate and analyze a FEM that exploits higher-order approximations of the fields for both spac...
AbstractThis paper provides a convergence analysis of the finite-element method for time-dependent M...
A well known nodal discontinuous Galerkin finite element method has been extended for higher order t...
International audienceThis paper presents a finite element method with high spatial order for solvin...
The time-stepping finite-element method (FEM) has become a powerful tool in solving transient electr...
This thesis proposes two techniques to compute the derivatives of electromagnetic fields with respec...
AbstractTime-dependent partial differential equations are often treated by semidiscretization and th...
A novel adaptive degrees-of-freedom (DoFs) finite-element method (FEM) for the numerical computation...
This paper proposes an analysis of the overall numerical errors affecting the implementation of the ...
In order to be applied to electromagnetic(EM) radiation problems, a novel time-domain finite element...
AbstractAfter applying the Finite Element Method (FEM) to the diffusion-type and wave-type Partial D...
Starting procedures for the backward differentiation formula (BDF) method have been investigated for...
The time stepping finite element method based on the backward Euler's method has been widely used to...
A method for determining regions of a finite element method to be refined is presented. The calculat...
The potential advantages and related costs of using second-order functional mesh discretization deri...
We formulate and analyze a FEM that exploits higher-order approximations of the fields for both spac...
AbstractThis paper provides a convergence analysis of the finite-element method for time-dependent M...
A well known nodal discontinuous Galerkin finite element method has been extended for higher order t...
International audienceThis paper presents a finite element method with high spatial order for solvin...
The time-stepping finite-element method (FEM) has become a powerful tool in solving transient electr...
This thesis proposes two techniques to compute the derivatives of electromagnetic fields with respec...
AbstractTime-dependent partial differential equations are often treated by semidiscretization and th...
A novel adaptive degrees-of-freedom (DoFs) finite-element method (FEM) for the numerical computation...
This paper proposes an analysis of the overall numerical errors affecting the implementation of the ...
In order to be applied to electromagnetic(EM) radiation problems, a novel time-domain finite element...
AbstractAfter applying the Finite Element Method (FEM) to the diffusion-type and wave-type Partial D...
Starting procedures for the backward differentiation formula (BDF) method have been investigated for...
The time stepping finite element method based on the backward Euler's method has been widely used to...
A method for determining regions of a finite element method to be refined is presented. The calculat...
The potential advantages and related costs of using second-order functional mesh discretization deri...
We formulate and analyze a FEM that exploits higher-order approximations of the fields for both spac...
AbstractThis paper provides a convergence analysis of the finite-element method for time-dependent M...
A well known nodal discontinuous Galerkin finite element method has been extended for higher order t...