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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
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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
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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
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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
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document
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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
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document
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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
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document
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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
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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
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document
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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
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document
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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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document
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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
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Gerritsma, J. (author) lecture notes 2006
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Gerritsma, J. (author) lecture notes 2003
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Breugem, A.J. (author), Gerritsma, L.J. (author), Krul, R.A. (author), Over, M.J.J. (author)
Document(en) uit de collectie Chemische Procestechnologie
report 2001
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Keuning, Lex J.A. (author), Gerritsma, J. (author), van Terwisga, P.F. (author) report 1993
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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) journal article 1991
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Gerritsma, J. (author) report 1990
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