1,720,965 research outputs found
On a Discontinuous Galerkin discretization for a degenerate diffusion equation
No full textBachelor’s thesis document "On a Discontinuous Galerkin discretization for a degenerate diffusion equation" written by Tim van Beeck (examiner and co-examiner: Christoph Lehrenfeld and Gert Lube) (2021-12-03) and replication data for the numerical experiments. Instructions for the replication data: The file DegDif_data.tar.gz provides the code and the data that can be used the replicate the numerical experiments. To run the code, you need a current version of NGSolve (which will require at least python 3.8) and matplotlib to generate the plots. Executing ConvergenceStudies.py will solve the problem and write the errors into data/SquareGeometry/ConstantDensity, while MakePlots.py will read data from data/CircleGeometry/NonConstantDensity. To replicate the respective other experiment, some slight adjustments have to be made (the files purposely use different experiments to showcase the necessary adjustments). Finally, the file CondNumbers.py calculates the condition numbers for different penalization parameters and writes the results to data/SquareGeometry/ConditionNumbers
Replication Data for: On stable discontinuous Galerkin discretizations for Galbrun's equation
No full textThis dataset contains reproduction material for my Masterthesis "On stable discontinuous Galerkin discretizations for Galbrun's equation". More detailed instructions for replication can be found in the provided README.md file
On stable discontinuous Galerkin discretizations for Galbrun’s equation
No full textMaster's thesis document "On stable discontinuous Galerkin discretizations for Galbrun’s equation" written by Tim van Beeck (supervisor and co-supervisor: Christoph Lehrenfeld and Martin Halla)
Replication Data for: Hybrid Discontinuous Galerkin Discretizations for the damped time-harmonic Galbrun’s equation
No full textThis dataset contains reproduction material for the paper "Hybrid Discontinuous Galerkin Discretizations for the damped time-harmonic Galbrun’s equation". The dataset contains the python files that can be used to reproduce the results in the paper. More information can be found in the file README.txt
Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem
No full textIn this paper we present a new H(div)-conforming unfitted finite element
method for the mixed Poisson problem which is robust in the cut configuration
and preserves conservation properties of body-fitted finite element methods.
The key is to formulate the divergence-constraint on the active mesh, instead
of the physical domain, in order to obtain robustness with respect to cut
configurations without the need for a stabilization that pollutes the mass
balance. This change in the formulation results in a slight inconsistency, but
does not affect the accuracy of the flux variable. By applying post-processings
for the scalar variable, in virtue of classical local post-processings in
body-fitted methods, we retain optimal convergence rates for both variables and
even the superconvergence after post-processing of the scalar variable. We
present the method and perform a rigorous a-priori error analysis of the method
and discuss several variants and extensions. Numerical experiments confirm the
theoretical results
Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem
No full textIn this paper we present a new H ( div ) H(\operatorname {div}) -conforming unfitted finite element method for the mixed Poisson problem which is robust in the cut configuration and preserves conservation properties of body-fitted finite element methods. The key is to formulate the divergence-constraint on the active mesh, instead of the physical domain, in order to obtain robustness with respect to cut configurations without the need for a stabilization that pollutes the mass balance. This change in the formulation results in a slight inconsistency, but does not affect the accuracy of the flux variable. By applying post-processings for the scalar variable, in virtue of classical local post-processings in body-fitted methods, we retain optimal convergence rates for both variables and even the superconvergence after post-processing of the scalar variable. We present the method and perform a rigorous a priori error analysis of the method and discuss several variants and extensions. Numerical experiments confirm the theoretical results
Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem
No full textIn this paper we present a new H(div)-conforming unfitted finite element
method for the mixed Poisson problem which is robust in the cut configuration
and preserves conservation properties of body-fitted finite element methods.
The key is to formulate the divergence-constraint on the active mesh, instead
of the physical domain, in order to obtain robustness with respect to cut
configurations without the need for a stabilization that pollutes the mass
balance. This change in the formulation results in a slight inconsistency, but
does not affect the accuracy of the flux variable. By applying post-processings
for the scalar variable, in virtue of classical local post-processings in
body-fitted methods, we retain optimal convergence rates for both variables and
even the superconvergence after post-processing of the scalar variable. We
present the method and perform a rigorous a-priori error analysis of the method
and discuss several variants and extensions. Numerical experiments confirm the
theoretical results
Correlations of solar oscillations: modeling and inversions (LiveDoc)
No full textCollection of LiveDocs from project C04 of the SFB 1456, which aims to construct mathematical tools to advance the field of helioseismology
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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