Spectral element approximations based on triangular elements and the so-called Fekete points of the triangle have been recently developed. p-Multigrid methods offer an interesting way to solve efficiently the resulting ill-conditionned algebraic system. For elliptic problems it is shown that a well-chosen restriction operator and a good set up of the coarse grid matrices may lead to valuable results even with a standard Gauss-Seidel smoother
In this thesis we applied a spectral element approximation to some elliptic partial differential eq...
The discrete systems generated by spectral or hp-version finite elements are much more ill-condition...
In this paper we analyze the convergence properties of two-level and W-cycle multigrid solvers for t...
Summary. Spectral element approximations based on triangular elements and on the so-called Fekete po...
International audienceUsing the spectral element method (SEM), or more generally hp-finite elements,...
The classical overlapping Schwarz algorithm is here extended to the triangular/tetrahedral spectral ...
We propose a new spectral element method based on Fekete points. We use the Fekete criterion to comp...
A detailed description of spectral multigrid methods is provided. This includes the interpolation an...
International audienceIn a recent JCP paper (by Y. Liu et al., vol. 336, p. 458, 2017) a higher orde...
International audienceWe present a review in the construction of accurate and efficient multivariate...
Abstract. For the iterative solution of the Schur complement system associated with the discretizati...
For the iterative solution of the Schur complement system associated with the discretization of an e...
It is well known that elliptic problems when posed on non-smooth domains, develop singularities. We ...
The systems of algebraic equations which arise from spectral discretizations of elliptic equations a...
We construct and study overlapping Schwarz preconditioners for the iterative solution of elliptic pr...
In this thesis we applied a spectral element approximation to some elliptic partial differential eq...
The discrete systems generated by spectral or hp-version finite elements are much more ill-condition...
In this paper we analyze the convergence properties of two-level and W-cycle multigrid solvers for t...
Summary. Spectral element approximations based on triangular elements and on the so-called Fekete po...
International audienceUsing the spectral element method (SEM), or more generally hp-finite elements,...
The classical overlapping Schwarz algorithm is here extended to the triangular/tetrahedral spectral ...
We propose a new spectral element method based on Fekete points. We use the Fekete criterion to comp...
A detailed description of spectral multigrid methods is provided. This includes the interpolation an...
International audienceIn a recent JCP paper (by Y. Liu et al., vol. 336, p. 458, 2017) a higher orde...
International audienceWe present a review in the construction of accurate and efficient multivariate...
Abstract. For the iterative solution of the Schur complement system associated with the discretizati...
For the iterative solution of the Schur complement system associated with the discretization of an e...
It is well known that elliptic problems when posed on non-smooth domains, develop singularities. We ...
The systems of algebraic equations which arise from spectral discretizations of elliptic equations a...
We construct and study overlapping Schwarz preconditioners for the iterative solution of elliptic pr...
In this thesis we applied a spectral element approximation to some elliptic partial differential eq...
The discrete systems generated by spectral or hp-version finite elements are much more ill-condition...
In this paper we analyze the convergence properties of two-level and W-cycle multigrid solvers for t...