Add to ORKGIn this paper we review Godunov-type numerical methods for one- and two-component magnetohydrodynamic equations. Solving these equations numerically is a formidable task as a result of the internal complexity of these equations and the requirements of [delta] B=0. We present several results of advanced numerical simulations for complex systems. These results prove that the numerical codes which are based on Godunov-type methods, cope with all problems very well
In this paper, we propose and analyze a fully discrete finite element projection method for the magn...
This thesis presents a finite element method for the solution of three-dimensional magnetohydrodynam...
Aims. In this paper, we present a new method to perform numerical simulations of astrophysical MHD ...
This paper is concerned with a numerical solutions of two-component magnetohydrodynamic equations. W...
In this paper we review several mathematical aspects in numerical methods for magnetohydrodynamic eq...
In this paper a higher-order Godunov method for two-dimensional solutions of the ideal MHD (magnetoh...
L’objectif principal de cette thèse concerne l’étude, la conception et la mise en œuvre numérique de...
We consider the numerical approximation of a two-dimensional magnetohydrodynamic problem by standard...
We describe a new Godunov algorithm for relativistic magnetohydrodynamics (RMHD) that combines a sim...
Abstract: This preprint presents a method for solving the ideal magnetohydrodynamics equat...
The usage of nonlinear Galerkin methods for the numerical solution of partial differential equations...
We present a second-order Godunov algorithm for multidimensional, ideal MHD. Our algorithm is based ...
We modify an existing magnetohydrodynamics algorithm to make it more compatible with a dimensionally...
We present a general framework to design Godunov-type schemes for multidimensional ideal magnetohydr...
this paper the emphasis is put on the case where one of the matrices, say the B-matrix, is Hermitian...
In this paper, we propose and analyze a fully discrete finite element projection method for the magn...
This thesis presents a finite element method for the solution of three-dimensional magnetohydrodynam...
Aims. In this paper, we present a new method to perform numerical simulations of astrophysical MHD ...
This paper is concerned with a numerical solutions of two-component magnetohydrodynamic equations. W...
In this paper we review several mathematical aspects in numerical methods for magnetohydrodynamic eq...
In this paper a higher-order Godunov method for two-dimensional solutions of the ideal MHD (magnetoh...
L’objectif principal de cette thèse concerne l’étude, la conception et la mise en œuvre numérique de...
We consider the numerical approximation of a two-dimensional magnetohydrodynamic problem by standard...
We describe a new Godunov algorithm for relativistic magnetohydrodynamics (RMHD) that combines a sim...
Abstract: This preprint presents a method for solving the ideal magnetohydrodynamics equat...
The usage of nonlinear Galerkin methods for the numerical solution of partial differential equations...
We present a second-order Godunov algorithm for multidimensional, ideal MHD. Our algorithm is based ...
We modify an existing magnetohydrodynamics algorithm to make it more compatible with a dimensionally...
We present a general framework to design Godunov-type schemes for multidimensional ideal magnetohydr...
this paper the emphasis is put on the case where one of the matrices, say the B-matrix, is Hermitian...
In this paper, we propose and analyze a fully discrete finite element projection method for the magn...
This thesis presents a finite element method for the solution of three-dimensional magnetohydrodynam...
Aims. In this paper, we present a new method to perform numerical simulations of astrophysical MHD ...