Thomas-Peter Fries

Univ.-Prof. Dr.-Ing. habil.

20052020
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Research Output 2005 2019

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A corrected XFEM approximation without problems in blending elements

Fries, T. P., 30 Jul 2008, In : International journal for numerical methods in engineering. 75, 5, p. 503-532 30 p.

Research output: Contribution to journalArticleResearchpeer-review

Approximation
Extended Finite Element Method
Optimal Convergence Rate
Approximation Space
Linear Elasticity

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

Steidl, J. W. & Fries, T. P., Dec 2018, In : Computers & structures.

Research output: Contribution to journalArticleResearchpeer-review

Decomposition Method
NURBS
Finite Element Method
Higher Order
Decomposition

A localized mixed-hybrid method for imposing interfacial constraints in the extended finite element method (XFEM)

Zilian, A. & Fries, T. P., 6 Aug 2009, In : International journal for numerical methods in engineering. 79, 6, p. 733-752 20 p.

Research output: Contribution to journalArticleResearchpeer-review

Extended Finite Element Method
Mixed Methods
Lagrange multipliers
Hybrid Method
Interfaces (computer)

A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations-Part I: Stabilization

Fries, T. P. & Matthies, H. G., 15 Sep 2006, In : Computer Methods in Applied Mechanics and Engineering. 195, 44-47, p. 6205-6224 20 p.

Research output: Contribution to journalArticleResearchpeer-review

meshfree methods
Navier-Stokes equation
Navier Stokes equations
Stabilization
stabilization

A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations-Part II: Coupling

Fries, T. P. & Matthies, H. G., 15 Sep 2006, In : Computer Methods in Applied Mechanics and Engineering. 195, 44-47, p. 6191-6204 14 p.

Research output: Contribution to journalArticleResearchpeer-review

meshfree methods
Galerkin methods
Navier-Stokes equation
Navier Stokes equations
Stabilization

A unified enrichment scheme for fracture problems

Abbas, S. & Fries, T. P., 2014, In : IOP Conference Series / Materials Science and Engineering. 10, 1, 012045.

Research output: Contribution to journalArticleResearchpeer-review

Crack tips
Brittle fracture
Cracks
Finite element method
Fracture mechanics

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

Convergence and stabilization of stress-point integration in mesh-free and particle methods

Fries, T. P. & Belytschko, T., 14 May 2008, In : International journal for numerical methods in engineering. 74, 7, p. 1067-1087 21 p.

Research output: Contribution to journalArticleResearchpeer-review

Meshfree Method
Particle Method
Stabilization
Stability and Convergence
Arrangement

Crack propagation criteria in three dimensions using the XFEM and an explicit-implicit crack description

Baydoun, M. & Fries, T. P., Nov 2012, In : International journal of fracture. 178, 1-2, p. 51-70 20 p.

Research output: Contribution to journalArticleResearchpeer-review

Crack Propagation
Strain energy
Three-dimension
Bending (forming)
Crack propagation

Crack propagation with the extended finite element method and a hybrid explicit-implicit crack description

Fries, T. P. & Baydoun, M., 23 Mar 2012, In : International journal for numerical methods in engineering. 89, 12, p. 1527-1558 32 p.

Research output: Contribution to journalArticleResearchpeer-review

Extended Finite Element Method
Crack Propagation
Crack propagation
Crack
Cracks

Fast isogeometric boundary element method based on independent field approximation

Marussig, B., Zechner, J., Beer, G. & Fries, T-P., 2015, In : Computer Methods in Applied Mechanics and Engineering. 284, 1, p. 458-488

Research output: Contribution to journalArticleResearchpeer-review

Fitting stress intensity factors from crack opening displacements in 2D and 3D XFEM

Schätzer, M. & Fries, T-P., 2015, In : Proceedings in Applied Mathematics and Mechanics . 15, p. 149-150

Research output: Contribution to journalArticleResearch

Hanging nodes and XFEM

Fries, T. P., Byfut, A., Alizada, A., Cheng, K. W. & Schröder, A., 29 Apr 2011, In : International journal for numerical methods in engineering. 86, 4-5, p. 404-430 27 p.

Research output: Contribution to journalArticleResearchpeer-review

Incompressible flow
Elasticity
Boundary layers
Cracks
Finite element method

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 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 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

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

Higher-order XFEM for curved strong and weak discontinuities

Cheng, K. W. & Fries, T. P., 30 Apr 2010, In : International journal for numerical methods in engineering. 82, 5, p. 564-590 27 p.

Research output: Contribution to journalArticleResearchpeer-review

Optimal Convergence Rate
Discontinuity
Higher Order
Strong Discontinuity
Finite element method

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

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

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

On time integration in the XFEM

Fries, T. P. & Zilian, A., 2 Jul 2009, In : International journal for numerical methods in engineering. 79, 1, p. 69-93 25 p.

Research output: Contribution to journalArticleResearchpeer-review

Time Stepping
Time Integration
Space-time Finite Elements
Optimal Convergence Rate
Galerkin methods

Overview and comparison of different variants of the XFEM

Fries, T-P., 2014, In : Proceedings in Applied Mathematics and Mechanics . 14, p. 27-30

Research output: Contribution to journalArticleResearch

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

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

The extended/generalized finite element method: An overview of the method and its applications

Fries, T. P. & Belytschko, T., 15 Oct 2010, In : International journal for numerical methods in engineering. 84, 3, p. 253-304 52 p.

Research output: Contribution to journalArticleResearchpeer-review

Generalized Finite Element Method
Extended Finite Element Method
Finite element method
Shear Bands
Polynomial approximation

The extended finite element method for two-phase and free-surface flows: A systematic study

Sauerland, H. & Fries, T. P., 1 May 2011, In : Journal of computational physics. 230, 9, p. 3369-3390 22 p.

Research output: Contribution to journalArticleResearchpeer-review

Two phase flow
finite element method
Finite element method
two phase flow
Surface tension

The Finite Element Method with Continuity Constraints for Stair-step Grids in Geoscience

Fries, T-P., Fücker, M. & Kauerauf, A., 2014, In : Computational geosciences. 18, 5, p. 831-850

Research output: Contribution to journalArticleResearchpeer-review

The intrinsic partition of unity method

Fries, T. P. & Belytschko, T., Sep 2007, In : Computational mechanics. 40, 4, p. 803-814 12 p.

Research output: Contribution to journalArticleResearchpeer-review

Partition of Unity Method
Shape Function
Moving Least Squares
Oscillatory Solution
Optimal Rate of Convergence

The intrinsic XFEM: A method for arbitrary discontinuities without additional unknowns

Fries, T. P. & Belytschko, T., 24 Dec 2006, In : International journal for numerical methods in engineering. 68, 13, p. 1358-1385 28 p.

Research output: Contribution to journalArticleResearchpeer-review

Discontinuity
Unknown
Shape Function
Arbitrary
Moving Least Squares

The intrinsic XFEM for two-fluid flows

Fries, T. P., 2009, In : International journal for numerical methods in fluids. 60, p. 437 - 471

Research output: Contribution to journalArticleResearchpeer-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

The stable XFEM for two-phase flows

Sauerland, H. & Fries, T-P., 2013, In : Computers & fluids. 87, p. 41-49

Research output: Contribution to journalArticleResearchpeer-review

The XFEM for high-gradient solutions in convection-dominated problems

Abbas, S., Alizada, A. & Fries, T. P., 21 May 2010, In : International journal for numerical methods in engineering. 82, 8, p. 1044-1072 29 p.

Research output: Contribution to journalArticleResearchpeer-review

Convection
Stabilization
Gradient
Finite element method
Mesh Refinement

Towards higher-order XFEM for interfacial flows

Fries, T-P., 2015, In : Proceedings in Applied Mathematics and Mechanics . 15, p. 507-508

Research output: Contribution to journalArticleResearch

XFEM for Deformation Theory of Plasticity

Omerovic, S. & Fries, T-P., 2015, In : Proceedings in Applied Mathematics and Mechanics . 15, p. 223-224

Research output: Contribution to journalArticleResearch

XFEM with hanging nodes for two-phase incompressible flow

Cheng, K. W. & Fries, T. P., 15 Oct 2012, In : Computer Methods in Applied Mechanics and Engineering. 245-246, p. 290-312 23 p.

Research output: Contribution to journalArticleResearchpeer-review

incompressible flow
Incompressible flow
Surface tension
Fluids
interfacial tension