The least-squares method with blended hierarchical basis functions: An implementation in Haskell with applications in uid dynamics

This research is aimed at the development of the novel least-squares method with blended hierarchical basis functions (ls-bhbf method), combining blended hierarchical basis functions (bhbf's) with the proven least-squares spectral element method. The ls-bhbf method is not based on standard elements and is therefore ideally suited to model...

The least-squares method with blended hierarchical basis functions: An implementation in Haskell with applications in uid dynamics

This research is aimed at the development of the novel least-squares method with blended hierarchical basis functions (ls-bhbf method), combining blended hierarchical basis functions (bhbf's) with the proven least-squares spectral element method. The ls-bhbf method is not based on standard elements and is therefore ideally suited to model...

Application of Least-Squares Spectral Element Methods to Polynomial Chaos

This papers describes the use of the Least-Squares Spectral Element Method to polynomial Chaos to solve stochastic partial differential equations. The method will be described in detail and a comparison will be presented between the least-squares projection and the conventional Galerkin projection.

Application of Least-Squares Spectral Element Methods to Polynomial Chaos

This papers describes the use of the Least-Squares Spectral Element Method to polynomial Chaos to solve stochastic partial differential equations. The method will be described in detail and a comparison will be presented between the least-squares projection and the conventional Galerkin projection.

Constrained least-squares methods for partial differential equations

Least-squares methods for partial differential equations are based on a norm-equivalence between the error norm and the residual norm. The resulting algebraic system of equations, which is symmetric positive definite, can also be obtained by solving a weighted collocation scheme using least-squares to solve the resulting algebraic equations....

Constrained least-squares methods for partial differential equations

Least-squares methods for partial differential equations are based on a norm-equivalence between the error norm and the residual norm. The resulting algebraic system of equations, which is symmetric positive definite, can also be obtained by solving a weighted collocation scheme using least-squares to solve the resulting algebraic equations....

Time Dependent Flow Simulations using the Least Squares Spectral Element Method with Direct Minimization

In this work a new approach to time dependent problems in combination with the Least-Squares Spectral Element Method (LSQSEM) will be discussed. Various timestepping formulations will be presented. These time-stepping formulations will be compared to the full space-time formulation. It will be shown that time-stepping formulations give accurate...

Time Dependent Flow Simulations using the Least Squares Spectral Element Method with Direct Minimization

In this work a new approach to time dependent problems in combination with the Least-Squares Spectral Element Method (LSQSEM) will be discussed. Various time-stepping formulations will be presented. These time-stepping formulations will be compared to the full space-time formulation. It will be shown that time-stepping formulations give accurate...