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document
Bochev, P. (author), Gerritsma, M.I. (author)
We present a spectral mimetic least-squares method which is fully conservative and decouples the primal and dual variables.
conference paper 2014
document
de Bruijn, Roger (author), Huijs, Fons (author), Bunnik, Tim (author), Huijsmans, Rene (author), Gerritsma, Marc (author)
conference paper 2011
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Gerritsma, M.I. (author)
conference paper 2008
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Gerritsma, M.I. (author), Vos, P. (author), Van der Steen, J.B. (author)
conference paper 2008
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De Maerschalck, B. (author), Gerritsma, M.I. (author)
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....
conference paper 2006
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De Maerschalck, B. (author), Gerritsma, M.I. (author)
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....
conference paper 2006
document
Oldenziel, G. (author), Gerritsma, M.I. (author)
This paper describes the use of the Least-Squares Spectral Element Method for non-linear hyperbolic equations. The one-dimensional inviscid Burgers equation is specifically subject of investigation. A second order backward difference method is used for time stepping. The behaviour of this formulation is examined by application to a testcase...
conference paper 2006
document
Cnossen, J.M. (author), Bijl, H. (author), Gerritsma, M.I. (author), Koren, B. (author)
For goal-oriented model adaptation a model-error estimator is required to drive the adaptation process. In recent years publications have appeared on the dual-weighted residual (DWR) method in the application of model-error estimation in output functionals. In this paper we study the application of the DWR method for convection-diffusion...
conference paper 2006
document
Oldenziel, G. (author), Gerritsma, M.I. (author)
This paper describes the use of the Least-Squares Spectral Element Method for non-linear hyperbolic equations. The one-dimensional inviscid Burgers equation is specifically subject of investigation. A second order backward difference method is used for time stepping. The behaviour of this formulation is examined by application to a testcase...
conference paper 2006
document
Cnossen, J.M. (author), Bijl, H. (author), Gerritsma, M.I. (author), Koren, B. (author)
For goal-oriented model adaptation a model-error estimator is required to drive the adaptation process. In recent years publications have appeared on the dual-weighted residual (DWR) method in the application of model-error estimation in output functionals. In this paper we study the application of the DWR method for convection-diffusion...
conference paper 2006
document
Van Dalen, W.R. (author), Gerritsma, M.I. (author)
This paper discusses the use of the Least-Squares Spectral Element Method in solving the linear, 1-dimensional advection-reaction equation. Well-posedness of the Least-Squares formulation will be derived. The formulation and its results will be compared to the standard Galerkin Spectral Element Method.
conference paper 2006
document
Vos, P.E.J. (author), Gerritsma, M.I. (author)
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.
conference paper 2006
document
Van Dalen, W.R. (author), Gerritsma, M.I. (author)
This paper discusses the use of the Least-Squares Spectral Element Method in solving the linear, 1-dimensional advection-reaction equation. Well-posedness of the Least-Squares formulation will be derived. The formulation and its results will be compared to the standard Galerkin Spectral Element Method.
conference paper 2006
document
Vos, P.E.J. (author), Gerritsma, M.I. (author)
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.
conference paper 2006
document
Kwakkel, M. (author), Gerritsma, M.I. (author)
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...
conference paper 2006
document
Kwakkel, M. (author), Gerritsma, M.I. (author)
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...
conference paper 2006
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Gerritsma, J. (author)
conference paper 1992
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Gerritsma, J. (author), Keuning, J.A. (author), Versluis, A. (author)
conference paper 1992
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Gerritsma, J. (author)
conference paper 1990
document
Gerritsma, J. (author)
conference paper 1987
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