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1

On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows

John, Volker, Linke, Alexander, Merdon, Christian, Neilan, Michael, Rebholz, Leo G.

Journal:

Year:

2017

Language:

english

File:

PDF, 7.84 MB

english, 2017

2

Equilibration a Posteriori Error Estimation for Convection–Diffusion–Reaction Problems

Eigel, M., Merdon, C.

Journal:

Journal of Scientific Computing

Year:

2016

Language:

english

File:

PDF, 1.69 MB

english, 2016

3

Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements

Lederer, Philip L., Linke, Alexander, Merdon, Christian, Schöberl, Joachim

Journal:

SIAM Journal on Numerical Analysis

Year:

2017

Language:

english

File:

PDF, 556 KB

english, 2017

4

A posteriori error estimator competition for conforming obstacle problems

C. Carstensen, C. Merdon

Journal:

Numerical Methods for Partial Differential Equations

Year:

2012

Language:

english

File:

PDF, 580 KB

english, 2012

5

Effective postprocessing for equilibration a posteriori error estimators

C. Carstensen, C. Merdon

Journal:

Numerische Mathematik

Year:

2013

Language:

english

File:

PDF, 799 KB

english, 2013

6

Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem

Carstensen, C., Merdon, C.

Journal:

Journal of Computational and Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 959 KB

english, 2013

7

Guaranteed Energy Error Estimators for a Modified Robust Crouzeix–Raviart Stokes Element

Linke, A., Merdon, C.

Journal:

Journal of Scientific Computing

Year:

2015

Language:

english

File:

PDF, 683 KB

english, 2015

8

Refined Fully Explicit a Posteriori Residual-Based Error Control

Carstensen, C., Merdon, C.

Journal:

SIAM Journal on Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 291 KB

english, 2014

9

Computational Survey on A Posteriori Error Estimators for the Crouzeix–Raviart Nonconforming Finite Element Method for the Stokes Problem

Carstensen, Carsten, Merdon, Christian

Journal:

Computational Methods in Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 743 KB

english, 2014

10

Optimal and Pressure-Independent L² Velocity Error Estimates for a Modified Crouzeix-Raviart Stokes Element with BDM Reconstructions

Brennecke, C., Linke, A., Merdon, C., Sch¨oberl, J.

Journal:

Journal of Computational Mathematics

Year:

2015

Language:

english

File:

PDF, 1.87 MB

english, 2015

11

Estimator Competition for Poisson Problems

Carstensen, C., Merdon, C.

Journal:

Journal of Computational Mathematics

Year:

2010

Language:

english

File:

PDF, 9.27 MB

english, 2010

12

On velocity errors due to irrotational forces in the Navier–Stokes momentum balance

Linke, A., Merdon, C.

Journal:

Journal of Computational Physics

Year:

2016

Language:

english

File:

PDF, 1.05 MB

english, 2016

13

Inverse modeling of thin layer flow cells for detection of solubility, transport and reaction coefficients from experimental data

Merdon, C., Fuhrmann, J., Linke, A., Streckenbach, T., Neumann, F., Khodayari, M., Baltruschat, H.

Journal:

Electrochimica Acta

Year:

2016

Language:

english

File:

PDF, 1.38 MB

english, 2016

14

Optimal $L^2$ velocity error estimate for a modified pressure-robust Crouzeix–Raviart Stokes element

Linke, A., Merdon, C., Wollner, W.

Journal:

IMA Journal of Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 214 KB

english, 2016

15

Guaranteed velocity error control for the pseudostress approximation of the Stokes equations

Bringmann, P., Carstensen, C., Merdon, C.

Journal:

Numerical Methods for Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 1.08 MB

english, 2016

16

Determining Solubility and Diffusivity by Using a Flow Cell Coupled to a Mass Spectrometer

Khodayari, Mehdi, Reinsberg, Philip, Abd-El-Latif, Abd-El-Aziz A., Merdon, Christian, Fuhrmann, Juergen, Baltruschat, Helmut

Journal:

Year:

2016

Language:

english

File:

PDF, 1.53 MB

english, 2016

17

Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier–Stokes equations

Linke, A., Merdon, C.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2016

Language:

english

File:

PDF, 362 KB

english, 2016

18

Local Equilibration Error Estimators for Guaranteed Error Control in Adaptive Stochastic Higher-Order Galerkin Finite Element Methods

Eigel, Martin, Merdon, Christian

Journal:

SIAM/ASA Journal on Uncertainty Quantification

Year:

2016

Language:

english

File:

PDF, 1.15 MB

english, 2016

19

An Adaptive Multilevel Monte Carlo Method with Stochastic Bounds for Quantities of Interest with Uncertain Data

Eigel, Martin, Merdon, Christian, Neumann, Johannes

Journal:

SIAM/ASA Journal on Uncertainty Quantification

Year:

2016

Language:

english

File:

PDF, 1.26 MB

english, 2016

20

Towards Pressure-Robust Mixed Methods for the Incompressible Navier–Stokes Equations

Ahmed, Naveed, Linke, Alexander, Merdon, Christian

Journal:

Computational Methods in Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 1.14 MB

english, 2017

21

On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations

Ahmed, Naveed, Linke, Alexander, Merdon, Christian

Journal:

SIAM Journal on Numerical Analysis

Year:

2018

Language:

english

File:

PDF, 475 KB

english, 2018

22

Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-Problem

Linke, A., Merdon, C., Neilan, M., Neumann, F.

Journal:

Mathematics of Computation

Year:

2018

Language:

english

File:

PDF, 366 KB

english, 2018

23

Induced charge electroosmotic flow with finite ion size and solvation effects

Fuhrmann, J., Guhlke, C., Linke, A., Merdon, C., Müller, R.

Journal:

Electrochimica Acta

Year:

2019

Language:

english

File:

PDF, 1.47 MB

english, 2019

24

Induced charge electroosmotic flow with finite ion size and solvation effects

Fuhrmann, J., Guhlke, C., Linke, A., Merdon, C., Müller, R.

Journal:

Electrochimica Acta

Year:

2019

File:

PDF, 1.47 MB

2019

25

A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem

Akbas, M., GallouÃ«t, T., Gassmann, A., Linke, A., Merdon, C.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2020

File:

PDF, 758 KB

2020

26

Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem

Frerichs, Derk, Merdon, Christian

Journal:

IMA Journal of Numerical Analysis

Year:

2020

File:

PDF, 838 KB

2020