Add to ORKGAbstract—Closed-form expressions for the numerical errors caused by finite-element discretization of problems involving materials of biaxial permittivity and permeability tensors are developed. In particular, we derive expressions for the numerical dispersion and reflection in both first-order node and edge basis function finite-element formulations in an equilateral triangular mesh. Results using these closed-form expressions are compared to practical numerical simulations. The application of these expressions to the analysis of the performance of the perfectly matched layer boundary is suggested. Index Terms—Finite-element methods, numerical errors, per-fectly matched layer (PML). I
Abstract The multiaxial perfectly matched layer (M-PML) is a stable and effective nonreflecting boun...
The performance of the Boundary Element Method (BEM) depends on the size of the elements and the int...
International audienceIn this paper, we consider triangular nonconforming finite element approximati...
Closed-form expressions for the numerical errors caused by finite-element discretization of problems...
Numerical errors encountered when using the perfectly matched layer (PML) absorbing boundary conditi...
A numerical dispersion analysis for the finite-element (FE) method in time domain (TD) is presented....
The perfectly matched layer (PML) has recently been introduced by Berenger as a material absorbing b...
The impact of triangle shapes, including angle sizes and aspect ratios, on accuracy and stiffness is...
We investigated one-dimensional numerical dispersion curves and error behaviour of four finite-eleme...
Abstract. The spatial discretization of elastic continuum by finite element method (FEM) in-troduces...
We analyse the dispersion properties of two types of explicit finite element methods for modelling a...
The paper offers a comparative study of numerical methods of analysis of electromagnetic fields. The...
We address the problem of modeling discontinuities at material interfaces and we propose an intuitiv...
A Finite Element numerical method has been developed to simulate the fluid flow over two dimensional...
We present a comparative evaluation of two novel and practical perfectly matched layer (PML) impleme...
Abstract The multiaxial perfectly matched layer (M-PML) is a stable and effective nonreflecting boun...
The performance of the Boundary Element Method (BEM) depends on the size of the elements and the int...
International audienceIn this paper, we consider triangular nonconforming finite element approximati...
Closed-form expressions for the numerical errors caused by finite-element discretization of problems...
Numerical errors encountered when using the perfectly matched layer (PML) absorbing boundary conditi...
A numerical dispersion analysis for the finite-element (FE) method in time domain (TD) is presented....
The perfectly matched layer (PML) has recently been introduced by Berenger as a material absorbing b...
The impact of triangle shapes, including angle sizes and aspect ratios, on accuracy and stiffness is...
We investigated one-dimensional numerical dispersion curves and error behaviour of four finite-eleme...
Abstract. The spatial discretization of elastic continuum by finite element method (FEM) in-troduces...
We analyse the dispersion properties of two types of explicit finite element methods for modelling a...
The paper offers a comparative study of numerical methods of analysis of electromagnetic fields. The...
We address the problem of modeling discontinuities at material interfaces and we propose an intuitiv...
A Finite Element numerical method has been developed to simulate the fluid flow over two dimensional...
We present a comparative evaluation of two novel and practical perfectly matched layer (PML) impleme...
Abstract The multiaxial perfectly matched layer (M-PML) is a stable and effective nonreflecting boun...
The performance of the Boundary Element Method (BEM) depends on the size of the elements and the int...
International audienceIn this paper, we consider triangular nonconforming finite element approximati...