In this thesis we consider the reduced basis element method for approximating the solution of parameter dependent problems described by partial differential equations. In particular we focus on fluid flow in pipes, bifurcations and hierarchical systems, where the flow is described by the steady Stokes equations, or the steady Navier-Stokes equations. The thesis consists of four papers and this introduction. The reduced basis element method is different from traditional reduced basis methods in that it combines these methods with domain decomposition. A given geometry is decomposed into building blocks with the same topology as a few reference domains, e.g. a rectangle and a reference bifurcation. Relative to each reference domain we precom...
In this paper we propose a reduced basis hybrid method (RBHM) for the approximation of partial diffe...
In this paper we propose a reduced basis hybrid method (RBHM) for the approximation of partial diffe...
In this paper we propose a reduced basis hybrid method (RBHM) for the approximation of partial diffe...
In this thesis we consider the reduced basis element method for approximating the solution of parame...
In this thesis we consider the reduced basis element method for approximating the solution of parame...
The reduced basis element method is a new approach for approximating the solution of problems descri...
The reduced basis element approximation is a discretization method for solving partial differential ...
Key words: reduced basis, domain decomposition, a posteriori error estimators, transfinite interpola...
The reduced basis element approximation is a discretization method for solving partial differential ...
Flow simulations in pipelined channels and several kinds of parametrized configurations have a growi...
Flow simulations in pipelined channels and several kinds of parametrized configurations have a growi...
Flow simulations in pipelined channels and several kinds of parametrized configurations have a growi...
Flow simulations in pipelined channels and several kinds of parametrized configurations have a growi...
The reduced basis element method is a new approach for approximating the solution of problems descr...
The reduced basis element method is a new approach for approximating the solution of problems descr...
In this paper we propose a reduced basis hybrid method (RBHM) for the approximation of partial diffe...
In this paper we propose a reduced basis hybrid method (RBHM) for the approximation of partial diffe...
In this paper we propose a reduced basis hybrid method (RBHM) for the approximation of partial diffe...
In this thesis we consider the reduced basis element method for approximating the solution of parame...
In this thesis we consider the reduced basis element method for approximating the solution of parame...
The reduced basis element method is a new approach for approximating the solution of problems descri...
The reduced basis element approximation is a discretization method for solving partial differential ...
Key words: reduced basis, domain decomposition, a posteriori error estimators, transfinite interpola...
The reduced basis element approximation is a discretization method for solving partial differential ...
Flow simulations in pipelined channels and several kinds of parametrized configurations have a growi...
Flow simulations in pipelined channels and several kinds of parametrized configurations have a growi...
Flow simulations in pipelined channels and several kinds of parametrized configurations have a growi...
Flow simulations in pipelined channels and several kinds of parametrized configurations have a growi...
The reduced basis element method is a new approach for approximating the solution of problems descr...
The reduced basis element method is a new approach for approximating the solution of problems descr...
In this paper we propose a reduced basis hybrid method (RBHM) for the approximation of partial diffe...
In this paper we propose a reduced basis hybrid method (RBHM) for the approximation of partial diffe...
In this paper we propose a reduced basis hybrid method (RBHM) for the approximation of partial diffe...