# Publications

## Adaptive isogeometric modeling of propagating strong discontinuities in heterogeneous materials

## 2017:

P. Morgenstern.

*Mesh Refinement Strategies for the Adaptive Isogeometric Method. PhD thesis.*

Rheinische Friedrich-Wilhelms-Universität Bonn, 2017.

T. Linse, P. Hennig, M. Kästner, R. De Borst.

*An analysis of convergence in phase-field models for brittle fracture.*

submitted to: International Journal of Solids and Structures, 2017.

A. C. Hansen-Dörr, P. Hennig, M. Kästner, K. Weinberg.

*A numerical analysis of the fracture toughness in phase-field modelling of adhesive
fracture.*

submitted to: Proceedings in Applied Mathematics and Mechanics.

## 2016:

## 2015:

## Finite element approximation of functions of bounded variation and application to models of damage, fracture and plasticity

## 2017:

R. Rossi, M. Thomas.

From nonlinear to linear elasticity in a coupled rate-dependent/rate-independent system for brittle

delamination.

Accepted in INDAM-Springer series: Symposium on Trends in Applications of Mathematics to Mechanics, 2017.

## 2016:

## Foundation and Application of Generalized Mixed FEM Towards Nonlinear Problems in Solid Mechanics

## 2017:

P. Bringmann, C. Carstensen, G. Starke.

*An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates.*

SIAM Journal on Numerical Analysis, accepted for publication 2017

C. Carstensen, P. Bringmann, F. Hellwig, P. Wriggers.

*Nonlinear discontinuous Petrov-Galerkin methods.*

Submitted, 2017.

C. Carstensen, D. Gallistl, J. Gedicke.

*Residual-based a posteriori error analysis for symmetric mixed Arnold-Winther FEM.*

Submitted, 2017.

C. Carstensen, F. Hellwig.

*Constants in Discrete Poincaré and Friedrichs Inequalities and Discrete Quasi-Interpolation.*

Submitted, 2017.

C. Carstensen, D. Liu, J. Alberty.

*Convergence of dG(1) in elastoplastic evolution.*

Submitted, 2017.

C. Carstensen, J. Storn.

*Asymptotic exactness of the least-squares finite element residual.*

Submitted, 2017.

## 2016:

C. Carstensen, S. Puttkammer.

*A low-order discontinuous Petrov-Galerkin method for the Stokes equations.*

Submitted, 2016.

C. Carstensen, H. Rabus.

*Axioms of adaptivity for separate marking.*

Resubmitted to: SINUM, 2016.

## High-order immersed-boundary methods in solid mechanics for structures generated by additive processes

## 2017:

A. Düster, E. Rank, B. Szabo.

*The p-Version of the Finite Element and Finite Cell Methods.*

Encyclopedia of Computational Mechanics, volume 2, pages 1–35, 2017.

S. Kollmannsberger, A. Özcan, M.Carraturo, N. Zander, E. Rank.

*A hierarchical computational model for moving thermal loads and phase changes with applications to Selective Laser Melting.*

Preprint, 2017.

## 2016:

## 2015:

## Hybrid discontinuous Galerkin methods in solid mechanics

## 2017:

H. R. Bayat, J. Krämer, L. Wunderlich, S. Wulfinghoff, S. Reese, B. Wohlmuth, C. Wieners.

*Numerical evaluation of discontinuous and nonconforming finite element methods in solid mechanics*.

Submitted to: Computational Mechanics, 2017.

A. Matei, S. Sitzmann, K. Willner, B. Wohlmuth.

A mixed variational formulation for a class of contact problems in viscoelasticity.

Submitted, 2017.

H. R. Bayat, S. Kastian, S. Wulfinghoff, S. Reese.

*Discontinuous Galerkin (dG) method in 3D linear elasticity with application in problems with locking.*

Submitted to: Proceedings in Applied Mathematics and Mechanics, 2017.

S. Wulfinghoff, H. R. Bayat, A. Alipour, S. Reese.

*Investigation of a locking-free hybrid discontinuous Galerkin element that is very easy to implement into FE-codes.*

Submitted to: Proceedings in Applied Mathematics and Mechanics, 2017.

S. Reese, H. R. Bayat, S. Wulfinghoff.

*On an equivalence between a discontinuous Galerkin method and reduced integration with hourglass stabilization.*

Computer Methods in Applied Mechanics and Engineering, Preprint, 2017

H. R. Bayat, S. Wulfinghoff, S. Reese.

*On the use of reduced integration in combination with discontinuous Galerkin discretization – application to volumetric and shear locking problems.*

Advanced Modeling and Simulation in Engineering Sciences, Preprint, 2017.

## 2016:

## 2015:

## Isogeometric and stochastic collocation methods for nonlinear probabilistic multiscale problems in solid mechanics

## 2017:

F. Fahrendorf, L. De Lorenzis, H. Gomez.

*Reduced integration at superconvergent points in isogeometric analysis.*

Submitted to: Computer Methods in Applied Mechanics and Engineering, 2017

J. Kiendl, E. Marino, L. De Lorenzis.

*Isogeometric collocation for the Reissner-Mindlin shell problem.*

Submitted to: Computer Methods in Applied Mechanics and Engineering, 2017

## 2016:

## 2015:

## First-order system least squares finite elements for finite elasto-plasticity

## 2017:

F. Bertrand, M. Moldenhauer, G. Starke.

A Posteriori Error Estimation for Planar Linear Elasticity by Stress Reconstruction

SIAM Journal on Numerical Analysis, submitted.

A. Schwarz, K. Steeger, M. Igelbüscher, and J. Schröder.

*Different approaches for mixed lsfems in hyperelasticity.*

International Journal for Numerical Methods in Engineering, submitted.

P. Bringmann, C. Carstensen, G. Starke.

*An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates.*

SIAM Journal on Numerical Analysis, accepted for publication 2017

## 2016:

## Advanced Finite Element Modeling of 3D Crack Propagation by a Phase Field Approach

## 2017:

T. Noll, C. Kuhn, R. Müller.

*A Monolithic Solution Scheme for a Phase Field Model of Ductile Fracture.*

Submitted to: Proceedings in Applied Mathematics and Mechanics, 2017.

## 2016:

C. Kuhn, T. Noll, R. Müller.

*On phase field modeling of ductile fracture. *

GAMM- Mitteilungen, 2016.

## Novel finite element technologies for anisotropic media

## 2017:

P. Wriggers, B. Hudobivnik, J. Schröder.

*Finite and virtual element formulations for large strain anisotropic material with inextensive fibers*.

in Multiscale Modeling of Heterogeneous Structures, eds. J. Soric and P. Wriggers, Lecture Notes in Applied and Computational Mechanics, Springer, 2017.

P. Wriggers, B. Hudobivnik, J. Korelc.

*Efficient Low Order Virtual Elements for Anisotropic Materials at Finite Strains*.

in Advances in Computational Plasticity, 2017.

N. Viebahn, J. Schröder, P. Wriggers, F. Auricchio

*Challenges of stability analysis using mixed FEM*

Proceedings in Applied Mathematics and Mechanics, submitted

## 2016:

## Large-scale simulation of pneumatic and hydraulic fracture with a phase-field approach

## 2017:

C. Bilgen, A. Kopanicakova, R. Krause, K. Weinberg.

*A phase-field approach to conchoidal fracture.*

Under review at Meccanica, 2017.

T. Dally, K. Weinberg, C. Bilgen.

*Cohesive elements or phase-field fracture: Which method is better for reliable analyses in dynamic fracture?*

Submitted to: Engineering Fracture Mechanics, 2017.

C. Bilgen, A. Kopanicakova, R. Krause, K. Weinberg.

*A phase-field approach to pneumatic fracture.*

submitted to: Proceedings in Applied Mathematics and Mechanics, 2017.

## 2016:

## A novel smooth discretization approach for elasto-plastic contact of bulky and thin structures

## 2017:

A. Seitz, W.A. Wall, A. Popp.

*A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation employing non-smooth nonlinear complementarity functions.*

submitted to: Advanced Modeling and Simulation in Engineering Sciences, 2017.

C. Meier, M.J. Grill, W.A. Wall, A. Popp.

*Geometrically exact beam elements and smooth contact schemes for the modeling of fiber-based materials and structures.*

submitted to: International Journal of Solids and Structures, 2017.