Searched for: +
(281 - 300 of 312)

Pages

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
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
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
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
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
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
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
Gerritsma, M.I. (author), Vos, P. (author), Van der Steen, J.B. (author)
conference paper 2008
document
Gerritsma, M.I. (author)
conference paper 2008
document
de Bruijn, Roger (author), Huijs, Fons (author), Bunnik, Tim (author), Huijsmans, Rene (author), Gerritsma, Marc (author)
conference paper 2011
document
Gerritsma, M.I. (author)
lecture notes 2012
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
Gerritsma, M.I. (author), Palha, A. (author)
In this paper the spectral mimetic least-squares method is applied to a two-dimensional div-curl system. A test problem is solved on orthogonal and curvilinear meshes and both h- and p-convergence results are presented. The resulting solutions will be pointwise divergence-free for these test problems. For N> 1 optimal convergence rates on...
conference paper 2018
document
Khan, Arbaz (author), Upadhyay, Chandra Shekhar (author), Gerritsma, M.I. (author)
In this paper, an h∕p spectral element method with least-square formulation for parabolic interface problem will be presented. The regularity result of the parabolic interface problem is proven for non-homogeneous interface data. The differentiability estimates and the main stability estimate theorem, using non-conforming spectral element...
journal article 2018
document
Botman, Paul (author), Gerritsma, Isabel (author), Laurens, Florian (author), Kievits, Servaas (author), Algufaili, Aisha (author), Albadi, Salima (author)
This paper is the result of the first collaboration project between Delft University of Technology and Sohar University. The project team consisted of 6 core- members from both Sohar University and TU Delft along with 5 more students, together appointed to help find an answer for a problem stated by Sohar Industrial Port Company and Majis...
student report 2018
document
Zhang, Y. (author), Jain, V. (author), Palha, A. (author), Gerritsma, M.I. (author)
In this paper, we present a hybrid mimetic method which solves the mixed formulation of the Poisson problem on curvilinear quadrilateral meshes. The method is hybrid in the sense that the domain is decomposed into multiple disjoint elements and the interelement continuity is enforced using a Lagrange multiplier. The method is mimetic in the...
conference paper 2020
document
Jain, V. (author), Zhang, Y. (author), Palha, A. (author), Gerritsma, M.I. (author)
Given a sequence of finite element spaces which form a de Rham sequence, we will construct dual representations of these spaces with associated differential operators which connect these spaces such that they also form a de Rham sequence. The dual representations also need to satisfy the de Rham sequence on the domain boundary. The matrix...
journal article 2020
Searched for: +
(281 - 300 of 312)

Pages