"uuid","repository link","title","author","contributor","publication year","abstract","subject topic","language","publication type","publisher","isbn","issn","patent","patent status","bibliographic note","access restriction","embargo date","faculty","department","research group","programme","project","coordinates"
"uuid:df762acc-025c-4af4-a4c7-0c211ed17639","http://resolver.tudelft.nl/uuid:df762acc-025c-4af4-a4c7-0c211ed17639","Constrained least-squares methods for partial differential equations","De Maerschalck, B.; Gerritsma, M.I.","","2006","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. Furthermore, least-squares allows to ad extra constraints to the system. In the present work the entropy is added as an extra inequality constraint to ensure only physical solutions for the one-dimensional inviscid Burgers equation are obtained.","least-squares; spectral elements; space-time; entropy condition","en","conference paper","","","","","","","","","","","","","",""
"uuid:a0c368e2-8cc2-40c8-98cb-a6916ffc7589","http://resolver.tudelft.nl/uuid:a0c368e2-8cc2-40c8-98cb-a6916ffc7589","Constrained least-squares methods for partial differential equations","De Maerschalck, B.; Gerritsma, M.I.","","2006","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. Furthermore, least-squares allows to ad extra constraints to the system. In the present work the entropy is added as an extra inequality constraint to ensure only physical solutions for the one-dimensional inviscid Burgers equation are obtained.","least-squares; spectral elements; space-time; entropy condition","en","conference paper","Delft University of Technology; European Community on Computational Methods in Applied Sciences (ECCOMAS)","","","","","","","","Aerospace Engineering","","","","",""
"uuid:a5b8033b-f4e1-4100-9e6a-ec9ff697019c","http://resolver.tudelft.nl/uuid:a5b8033b-f4e1-4100-9e6a-ec9ff697019c","Application of Least-Squares Spectral Element Methods to Polynomial Chaos","Vos, P.E.J.; Gerritsma, M.I.","","2006","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.","least squares; spectral elements; polynomial chaos; stochastic differential equations","en","conference paper","Delft University of Technology; European Community on Computational Methods in Applied Sciences (ECCOMAS)","","","","","","","","Aerospace Engineering","","","","",""
"uuid:0bfb0cdb-7fc8-45ca-8e80-0aa2930c2396","http://resolver.tudelft.nl/uuid:0bfb0cdb-7fc8-45ca-8e80-0aa2930c2396","Application of Least-Squares Spectral Element Methods to Polynomial Chaos","Vos, P.E.J.; Gerritsma, M.I.","","2006","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.","least squares; spectral elements; polynomial chaos; stochastic differential equations","en","conference paper","","","","","","","","","","","","","",""
"uuid:c76a3c86-16d6-42fd-abdc-a5a5b49ec458","http://resolver.tudelft.nl/uuid:c76a3c86-16d6-42fd-abdc-a5a5b49ec458","Time Dependent Flow Simulations using the Least Squares Spectral Element Method with Direct Minimization","Kwakkel, M.; Gerritsma, M.I.","","2006","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 results for comparable CPU times. Furthermore is will be shown that a smaller timestep or a higher polynomial degree not always decreases the error norm.","least-squares; spectral elements; time-stepping","en","conference paper","","","","","","","","","","","","","",""
"uuid:795f6c19-2304-4592-8a62-f0d33560db89","http://resolver.tudelft.nl/uuid:795f6c19-2304-4592-8a62-f0d33560db89","Time Dependent Flow Simulations using the Least Squares Spectral Element Method with Direct Minimization","Kwakkel, M.; Gerritsma, M.I.","","2006","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 results for comparable CPU times. Furthermore is will be shown that a smaller timestep or a higher polynomial degree not always decreases the error norm.","least-squares; spectral elements; time-stepping","en","conference paper","Delft University of Technology; European Community on Computational Methods in Applied Sciences (ECCOMAS)","","","","","","","","Aerospace Engineering","","","","",""