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Fisser, Joël (author)Mimetic discretisation techniques are a growing field in computational physics research. Among these techniques, the recently developed mimetic spectral element method allows for exact discretisation of metric independent relations. This has been proven numerically in various mixed formulations, for instance the mixed velocityvorticitypressure...master thesis 2019
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Sun, Z. (author), Kasbergen, C. (author), Scarpas, Athanasios (author), Anupam, K. (author), van Dalen, K.N. (author), Erkens, S. (author)In order to design highperformance roadways, a robust tool which can compute the structural response caused by moving vehicles is necessary. Therefore, this paper proposes a spectral element methodbased model to accurately and effectively predict the 3D dynamic response of layered systems under a moving load. A layer spectral element and a...journal article 2019
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Geevers, S. (author), Mulder, W.A. (author), van der Vegt, J (author)We present a new accuracy condition for constructing masslumped elements. This condition is less restrictive than the one previously used and enabled us to construct new masslumped tetrahedral elements for 3D wave propagation modelling. The new degree2 and degree3 elements require significantly fewer nodes than previous versions and mass...abstract 2019
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Geevers, S. (author), Mulder, W.A. (author), van der Vegt, J.J.W. (author)We present new and efficient quadrature rules for computing the stiffness matrices of masslumped tetrahedral elements for wave propagation modeling. These quadrature rules allow for a more efficient implementation of the masslumped finite element method and can handle materials that are heterogeneous within the element without loss of the...journal article 2019
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Liu, Zeyu (author)In order to solve linear system of equations obtained from numerical discretisation fast and accurate, preconditioning on the coefficient matrix is needed. In this thesis research, a preliminary study on preconditioning techniques suitable for Mimetic Spectral Element Method (MSEM) will be presented. The spectral limit change of some important...master thesis 2018
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Bni Lam, N.H.N. (author), al Khoury, R.I.N. (author), Shiri, A. (author), Sluijs, L.J. (author)A semianalytical model for simulating transient conductiveconvective heat flow in a threedimensional shallow geothermal system consisting of multiple borehole heat exchangers (BHE) embedded in a multilayer soil mass is introduced. The model is formulated in three steps, starting from an axial symmetric system and ending in a 3D multilayer,...journal article 2018
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Khan, Arbaz (author), Upadhyay, Chandra Shekhar (author), Gerritsma, M.I. (author)In this paper, an h∕p spectral element method with leastsquare formulation for parabolic interface problem will be presented. The regularity result of the parabolic interface problem is proven for nonhomogeneous interface data. The differentiability estimates and the main stability estimate theorem, using nonconforming spectral element...journal article 2018
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Talanki, Mallika (author)In order to solve a partial differential equation numerically it has to be replaced with a system of equations. The methods which can preserve these essential mathematical and physical structures are called mimetic methods.<br/><br/>The equation that we focus in this thesis is Laplace operator. Differential forms are used to describe the Laplace...master thesis 2017
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 Shiri, Arsha (author) master thesis 2017
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Oud, G.T. (author)The thesis describes how differential geometry and algebraic topology together can be applied to an existing numerical method. After some introduction, the central idea is explained, after which a chapter is devoted to error approximation of the method. Finally, a 1D application is completely written out and the results are analysed.master thesis 2011
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Vrijkorte, H.J. (author)This research is aimed at the development of the novel leastsquares method with blended hierarchical basis functions (lsbhbf method), combining blended hierarchical basis functions (bhbf's) with the proven leastsquares spectral element method. The lsbhbf method is not based on standard elements and is therefore ideally suited to model...master thesis 2010
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Vrijkorte, H.J. (author)This research is aimed at the development of the novel leastsquares method with blended hierarchical basis functions (lsbhbf method), combining blended hierarchical basis functions (bhbf's) with the proven leastsquares spectral element method. The lsbhbf method is not based on standard elements and is therefore ideally suited to model...master thesis 2010
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 Lantsheer, M. (author) master thesis 2010
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De Maerschalck, B. (author), Gerritsma, M.I. (author)Leastsquares methods for partial differential equations are based on a normequivalence 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 leastsquares to solve the resulting algebraic equations....conference paper 2006
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De Maerschalck, B. (author), Gerritsma, M.I. (author)Leastsquares methods for partial differential equations are based on a normequivalence 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 leastsquares to solve the resulting algebraic equations....conference paper 2006
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Vos, P.E.J. (author), Gerritsma, M.I. (author)This papers describes the use of the LeastSquares 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 leastsquares projection and the conventional Galerkin projection.conference paper 2006
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Oldenziel, G. (author), Gerritsma, M.I. (author)This paper describes the use of the LeastSquares Spectral Element Method for nonlinear hyperbolic equations. The onedimensional 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 LeastSquares 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 leastsquares projection and the conventional Galerkin projection.conference paper 2006
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Oldenziel, G. (author), Gerritsma, M.I. (author)This paper describes the use of the LeastSquares Spectral Element Method for nonlinear hyperbolic equations. The onedimensional 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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Fournier, A. (author)We present a Fourierspectral element approximation of electromagnetic induction (and magnetohydrodynamics) in a domain bounded by a spherical interface. The electromagnetic problem is cast in terms of electromagnetic potentials, the uniqueness of which is enforced by the choice of Coulomb's gauge. A PN  PN2 approach ensures the solenoidal...conference paper 2006
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