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2019

A concept for aortic dissection with fluid‐structure‐crack interaction

Schussnig, R. & Fries, T. P., 2 Sep 2019, Proceedings in Applied Mathematics and Mechanics. 1 ed. Wiley, Vol. 19. 2 p. e201900100

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Open Access
Dissection
Incompressible flow
Blood
Tissue
Fluids

A higher-order conformal decomposition finite element method for plane B-rep geometries

Stanford, J. W. & Fries, T. P., 2019, In : Computers & structures. 214, p. 15-27

Research output: Contribution to journalArticleResearchpeer-review

Decomposition Method
NURBS
Finite Element Method
Higher Order
Decomposition

A unified approach for shell analysis on explicitly and implicitly defined surfaces

Schöllhammer, D. & Fries, T. P., 2019, Proceedings of the Form and Force Joint International Conference. Lázaro, C., Bletzinger, K. U. & Oñate, E. (eds.). p. 750-757

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearch

A Unified Finite Strain Theory for Membranes and Ropes

Fries, T-P. & Schöllhammer, D., 27 Sep 2019, In : arXiv.org e-Print archive.

Research output: Contribution to journalArticleResearch

Finite Strain
Membrane
Differential Calculus
Trace
Unification

Classical Shell Analysis based on Tangential Differential Calculus

Fries, T. P. & Schöllhammer, D., 2019.

Research output: Contribution to conferenceAbstractResearch

Fluid-Structure Interaction in Aortic Dissection - A Monolithic Approach

Schussnig, R. & Fries, T. P., 2019.

Research output: Contribution to conferenceAbstractResearch

Higher-Order accurate meshing of implicitly defined non-smooth manifolds

Stanford, J. W. & Fries, T. P., 2019, Proceedings of the 28th International Meshing Roundtable.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Higher-order accurate meshing of implicitly defined tangential and transversal intersection curves

Stanford, J. W. & Fries, T. P., 2019, Numerical Geometry, Grid Generation and Scientific Computing. Garanzha, V., Kamenski, L. & Si, H. (eds.). Springer Vieweg, Vol. 131. p. 193-203 (Lecture Notes in Computational Science and Engineering).

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Higher-order Accurate Meshing of Non-Smooth Implicitly Defined Surfaces and Intersection Curves

Stanford, J. W. & Fries, T. P., 2019, In : Computational Mathematics and Mathematical Physics. 59, p. 2093–2107

Research output: Contribution to journalArticleResearchpeer-review

Kirchhoff–Love shell theory based on tangential differential calculus

Schöllhammer, D. & Fries, T. P., Jul 2019, In : Computational mechanics. 64, 1, p. 113–131 19 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
Differentiation (calculus)
Shell Theory
Differential Calculus
Parametrization
Shell

Reissner-Mindlin shell theory based on Tangential Differential Calculus

Schöllhammer, D. & Fries, T. P., 2019, Proceedings in Applied Mathematics and Mechanics. Wiley, Vol. 19,1. 2 p. e201900099

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Open Access
Differentiation (calculus)

Reissner–Mindlin shell theory based on tangential differential calculus

Schöllhammer, D. & Fries, T. P., 1 Aug 2019, In : Computer Methods in Applied Mechanics and Engineering. 352, p. 172-188 17 p.

Research output: Contribution to journalArticleResearchpeer-review

Differentiation (calculus)
differential calculus
shell theory
Cartesian coordinates
formulations

Towards Fluid-Structure-Crack Interaction in Aortic Dissection

Schussnig, R. & Fries, T. P., 2019.

Research output: Contribution to conferenceAbstractResearch

2018

A fictitious domain method with higher-order accurate integration in cut elements

Fries, T. P., Omerovic, S., Schöllhammer, D. & Stanford, J. W., 2018, Proceedings ECCM VI, ECFD VII. p. 3994-3405

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearch

A higher-order conformal decomposition FEM for NURBS-based geometries

Stanford, J. W. & Fries, T. P., 2018, Proceedings ECCM VI, ECFD VII. p. 3406-3416

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearch

Open Access

Classical shell analysis in view of tangential differential calculus

Schöllhammer, D. & Fries, T. P., 2018, Proceedings ECCM VI, ECFD VII. p. 3646-3657

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearch

Classical shell theory based on tangential differential calculus

Schöllhammer, D. & Fries, T. P., 2018.

Research output: Contribution to conferenceAbstractResearch

Explicit-implicit XFEM for Hydraulic Fracturing with emphasis on transport models on curved crack surfaces

Fries, T. P. & Schätzer, M., 2018.

Research output: Contribution to conferenceAbstractResearch

Heuristic pressure profiles in hydraulic fracturing

Schätzer, M. & Fries, T. P., 2018, Proceedings in Applied Mathematics and Mechanics, Special Issue. Wiley, Vol. 18,1 . p. e20180006 2 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Open Access

Higher-order approximations of incompressible Navier-Stokes flows on curved manifolds

Fries, T. P., 2018, Proceedings of the 13th World Congress on Computational Mechanics (WCCM XIII), New York, USA.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearch

Higher-order conformal decomposition FEM (CDFEM)

Fries, T. P., 1 Jan 2018, In : Computer Methods in Applied Mechanics and Engineering. 328, p. 75-98 24 p.

Research output: Contribution to journalArticleResearchpeer-review

finite element method
Decomposition
decomposition
Finite element method
mesh

Higher-order surface FEM for incompr. Navier-Stokes flows on manifolds

Fries, T. P., 2018, Proceedings in Applied Mathematics and Mechanics, Special Issue. Wiley, Vol. 18,1. 2 p. e201800012

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Open Access

Higher-order surface FEM for incompressible flows on curved manifolds

Fries, T. P., 2018.

Research output: Contribution to conferenceAbstractResearch

Higher-order surface FEM for incompressible Navier-Stokes flows on manifolds

Fries, T. P., 20 Sep 2018, In : International journal for numerical methods in fluids. 88, 2, p. 55-78 24 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
Incompressible Navier-Stokes
Stokes Flow
Higher Order
Finite element method
Element Order

Kirchhoff-Love shell theory based on tangential differential calculus

Schöllhammer, D. & Fries, T. P., 29 May 2018, In : arXiv.org e-Print archive.

Research output: Contribution to journalArticleResearch

Differentiation (calculus)
Geometry
Mathematical operators

Kirchhoff-Love shell theory based on Tangential Differential Calculus

Schöllhammer, D. & Fries, T. P., 2018, Proceedings in Applied Mathematics and Mechanics. Wiley

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

2017

A higher-order FEM for PDEs on implicit manifolds—part I: geometry

Fries, T. P., 2017.

Research output: Contribution to conferenceAbstractResearchpeer-review

A higher-order FEM for PDEs on implicit manifolds—part II: approximations

Schöllhammer, D. & Fries, T. P., 2017.

Research output: Contribution to conferenceAbstractResearchpeer-review

A simplified hydraulic fracturing model in 3D with prescribed pressure profiles

Schätzer, M. & Fries, T. P., 2017.

Research output: Contribution to conferenceAbstractResearchpeer-review

Conformal higher-order remeshing schemes for implicitly defined interface problems

Omerovic, S. & Fries, T. P., 10 Feb 2017, In : International journal for numerical methods in engineering. 109, 6, p. 763-789 27 p.

Research output: Contribution to journalArticleResearchpeer-review

Interface Problems
Remeshing
Mesh
Higher Order
Decomposition

Construction of a Higher-order Conformal Decomposition FEM for NURBS-based geometries

Steidl, J. W. & Fries, T. P., 2017.

Research output: Contribution to conferenceAbstractResearchpeer-review

Flexibilität durch Modularität: Ein Framework für sensorbasierte Positionierungssysteme

Bernoulli, T., 20 Nov 2017, 193 p.

Research output: ThesisDoctoral ThesisResearch

Higher-order conformal decomposition FEM (CDFEM): An alternative for XFEM

Fries, T. P., 2017.

Research output: Contribution to conferenceAbstractResearchpeer-review

Higher-order finite element methods for implicitly defined interface problems

Omerovic, S., 7 Jun 2017, 188 p.

Research output: ThesisDoctoral ThesisResearch

Higher-order meshing of implicit geometries, Part II: Approximations on manifolds

Fries, T. P. & Schöllhammer, D., 1 Nov 2017, In : Computer Methods in Applied Mechanics and Engineering. 326, p. 270-297 28 p.

Research output: Contribution to journalArticleResearchpeer-review

mesh
Geometry
geometry
approximation
partial differential equations

Higher-order meshing of implicit geometries—Part I: Integration and interpolation in cut elements

Fries, T. P., Omerovic, S., Schöllhammer, D. & Steidl, J., 1 Jan 2017, In : Computer Methods in Applied Mechanics and Engineering. 313, p. 759-784 26 p.

Research output: Contribution to journalArticleResearchpeer-review

interpolation
Interpolation
Geometry
mesh
geometry

Isogeometric Boundary Element Analysis with elasto-plastic inclusions. Part 2: 3-D problems

Beer, G., Mallardo, V., Ruocco, E., Marussig, B., Zechner, J., Dünser, C. & Fries, T-P., 2017, In : Computer Methods in Applied Mechanics and Engineering. 315, p. 418-433

Research output: Contribution to journalArticleResearchpeer-review

Stable isogeometric analysis of trimmed geometries

Marussig, B., Zechner, J., Beer, G. & Fries, T. P., 2017, In : Computer Methods in Applied Mechanics and Engineering. 316, p. 497-521

Research output: Contribution to journalArticleResearchpeer-review

splines
Splines
Geometry
geometry
Stabilization
2016

Accurate Integration in Cut Elements based on Conformal Decomposition into Isoparametric Elements

Fries, T. P., 2016.

Research output: Contribution to conferenceAbstractResearchpeer-review

Accurate integration points for cut higher-order elements with Chen-Babuška nodes

Fries, T. P., 2016.

Research output: Contribution to conferenceAbstractResearchpeer-review

Automatic conformal decomposition of elements cut by NURBS

Steidl, J. W. & Fries, T. P., 2016, ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. National Technical University of Athens , Vol. 2. p. 2591-2600 10 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearch

NURBS
Decomposition
Decompose
Fictitious Domain
Extended Finite Element Method

Higher-order accurate integration for cut elements with Chen-Babuska nodes

Fries, T. P., 2016, Advances in Discretization Methods: Discontinuities, virtual elements, fictitious domain methods. Ventura, G. & Benvenuti, E. (eds.). Berlin: Springer Vieweg, Vol. 12. p. 245 - 269 (SEMA SIMAI Springer Series).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contributionResearchpeer-review

Higher-order accurate integration of implicit geometries

Fries, T. P. & Omerovic, S., 4 May 2016, In : International journal for numerical methods in engineering. 106, 5, p. 323-371 49 p.

Research output: Contribution to journalArticleResearchpeer-review

Level Set
Interface Element
Higher Order
Zero set
Geometry

Higher-order conformal decomposition finite element method

Omerovic, S. & Fries, T. P., 2016, Proceedings in Applied Mathematics and Mechanics. wiley:adr: Wiley-Blackwell, Vol. 16.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearch

Hydraulic fracturing with a simplified fluid model and XFEM

Schätzer, M. & Fries, T. P., 2016, Proceedings in Applied Mathematics and Mechanics. wiley:adr: Wiley-Blackwell, Vol. 16.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearch

Integration of design and analysis through boundary integral equations

Marussig, B., Zechner, J., Beer, G. & Fries, T. P., 2016, ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. National Technical University of Athens , Vol. 3. p. 6526-6538 13 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Boundary integral equations
Boundary Integral Equations
Computer aided design
Computer Aided Geometric Design
Computational efficiency

Isogeometric Boundary Element analysis with elasto-plastic inclusions. Part 1: Plane problems

Beer, G., Marussig, B., Zechner, J., Dünser, C. & Fries, T. P., 15 Aug 2016, In : Computer Methods in Applied Mechanics and Engineering. 308, p. 552-570 19 p.

Research output: Contribution to journalArticleResearchpeer-review

plastics
inclusions
Plastics
Geomechanics
plane stress

Stress intensity factors through crack-opening displacements in the XFEM

Schätzer, M. & Fries, T-P., 2016, Advances in Discretization Methods: Discontinuities, virtual elements, fictitious domain methods. Ventura, G. & Benvenuti, E. (eds.). Berlin: Springer Vieweg, Vol. 12. p. 143 - 164 (SEMA SIMAI Springer Series).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contributionResearchpeer-review

The isogeometric Nyström method

Zechner, J., Marussig, B., Beer, G. & Fries, T. P., 15 Aug 2016, In : Computer Methods in Applied Mechanics and Engineering. 308, p. 212-237 26 p.

Research output: Contribution to journalArticleResearchpeer-review

Boundary integral equations
integral equations
Function evaluation
Computer aided design
Interpolation