In this article we consider the application of Schwarz-type domain decomposition preconditioners for discontinuous Galerkin finite element approximations of elliptic partial differential equations posed on complicated domains, which are characterized by small details in the computational domain or microstructures. In this setting, it is necessary to define a suitable coarse-level solver, in order to guarantee the scalability of the preconditioner under mesh refinement. To this end, we exploit recent ideas developed in the so-called composite finite element framework, which allows for the definition of finite element methods on general meshes consisting of agglomerated elements. Numerical experiments highlighting the practical performance of...
In this article, we consider the derivation of hp-optimal spectral bounds for a class of domain deco...
In this article we address the question of efficiently solving the algebraic linear system of equati...
The numerical approximation of partial differential equations (PDEs) posed on complicated geometries...
In this article we consider the application of Schwarz-type domain decomposition preconditioners for...
In this article we address the question of efficiently solving the algebraic linear system of equati...
In this article we design and analyze a class of two-level non- overlapping additive Schwarz precond...
In recent years, domain decomposition (DD) techniques have been extensively used to solve efficientl...
In this article we consider the application of Schwarz-type domain decomposition preconditioners to ...
The application of the techniques of domain decomposition to construct effective preconditioners for...
We propose and study some new additive, two-level non-overlapping Schwarz preconditioners for the so...
We propose and study some new additive, two-level non-overlapping Schwarz preconditioners for the s...
In this paper we introduce the hp-version discontinuous Galerkin composite finite element method fo...
International audienceDomain decomposition methods are, alongside multigrid methods, one of the domi...
In this article, we consider the derivation of hp-optimal spectral bounds for a class of domain deco...
In this article we address the question of efficiently solving the algebraic linear system of equati...
The numerical approximation of partial differential equations (PDEs) posed on complicated geometries...
In this article we consider the application of Schwarz-type domain decomposition preconditioners for...
In this article we address the question of efficiently solving the algebraic linear system of equati...
In this article we design and analyze a class of two-level non- overlapping additive Schwarz precond...
In recent years, domain decomposition (DD) techniques have been extensively used to solve efficientl...
In this article we consider the application of Schwarz-type domain decomposition preconditioners to ...
The application of the techniques of domain decomposition to construct effective preconditioners for...
We propose and study some new additive, two-level non-overlapping Schwarz preconditioners for the so...
We propose and study some new additive, two-level non-overlapping Schwarz preconditioners for the s...
In this paper we introduce the hp-version discontinuous Galerkin composite finite element method fo...
International audienceDomain decomposition methods are, alongside multigrid methods, one of the domi...
In this article, we consider the derivation of hp-optimal spectral bounds for a class of domain deco...
In this article we address the question of efficiently solving the algebraic linear system of equati...
The numerical approximation of partial differential equations (PDEs) posed on complicated geometries...