Abstract--A nonstandard finite element method for hyperbolic systems of partial differential equations is presented. The method applies to Friedrichs type systems in several space dimensions and more general systems in one space dimension. It is shown to be more accurate, by a factor ofO(h i/2), than the standard Galerkin method. The method may be viewed as a combination of a Galerkin procedure and a least squares procedure with optimally chosen weights. It is also a minimum dispersion method. A feature of the method is that due to the nonstandard structure of the weak formulation, the same test and trial spaces may be used. We consider the hyperbolic system u, + Au = f where 1. PREL IMINARIE
We analyze the $hp$-version of the streamline-diffusion (SDFEM) and of the discontinuous Galerkin me...
The author considers the discretization of linear nonstationary (essentially) hyperbolic systems by ...
Hyperbolic partial differential equations (PDEs) are mathematical models of wave phenomena, with app...
In the following text an overview is given of numerical schemes which can be used to solve hyperboli...
We suggest a method for constructing grid schemes for initial-boundary value problems for many-dimen...
We analyze the hp-version of the streamline-diffusion finite element method (SDFEM) and of the disco...
The manual describe and examines modern numerical methods for the numerical solution of partial diff...
In this article we analyse the numerical approximation of incompressible miscible displacement prob-...
A nonconforming mixed finite element method for nonlinear hyperbolic equations is discussed. Existen...
AbstractStandard error estimates for approximations to hyperbolic equations are only valid over a fi...
Finite elements of degree d are analysed for the semi-discrete periodic initial value problem for pu...
This paper is devoted to the a priori and a posteriori error analysis of the hp-version of the disco...
Abstract. Least-squares finite element methods (LSFEMs) for scalar linear partial differential equat...
This paper provides a review about a family of non oscillatory and parameter free finite element typ...
An explicit algorithm which gives stable finite-difference schemes, of order of accuracy greater tha...
We analyze the $hp$-version of the streamline-diffusion (SDFEM) and of the discontinuous Galerkin me...
The author considers the discretization of linear nonstationary (essentially) hyperbolic systems by ...
Hyperbolic partial differential equations (PDEs) are mathematical models of wave phenomena, with app...
In the following text an overview is given of numerical schemes which can be used to solve hyperboli...
We suggest a method for constructing grid schemes for initial-boundary value problems for many-dimen...
We analyze the hp-version of the streamline-diffusion finite element method (SDFEM) and of the disco...
The manual describe and examines modern numerical methods for the numerical solution of partial diff...
In this article we analyse the numerical approximation of incompressible miscible displacement prob-...
A nonconforming mixed finite element method for nonlinear hyperbolic equations is discussed. Existen...
AbstractStandard error estimates for approximations to hyperbolic equations are only valid over a fi...
Finite elements of degree d are analysed for the semi-discrete periodic initial value problem for pu...
This paper is devoted to the a priori and a posteriori error analysis of the hp-version of the disco...
Abstract. Least-squares finite element methods (LSFEMs) for scalar linear partial differential equat...
This paper provides a review about a family of non oscillatory and parameter free finite element typ...
An explicit algorithm which gives stable finite-difference schemes, of order of accuracy greater tha...
We analyze the $hp$-version of the streamline-diffusion (SDFEM) and of the discontinuous Galerkin me...
The author considers the discretization of linear nonstationary (essentially) hyperbolic systems by ...
Hyperbolic partial differential equations (PDEs) are mathematical models of wave phenomena, with app...