Search Results - "Fries, Thomas"

The extended/generalized finite element method: An overview of the method and its applications by Fries, Thomas-Peter, Belytschko, Ted

“…An overview of the extended/generalized finite element method (GEFM/XFEM) with emphasis on methodological issues is presented. This method enables the accurate…”
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Higher‐order surface FEM for incompressible Navier‐Stokes flows on manifolds by Fries, Thomas‐Peter

“…Summary Stationary and instationary Stokes and Navier‐Stokes flows are considered on two‐dimensional manifolds, ie, on curved surfaces in three dimensions. The…”
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Higher-order accurate integration of implicit geometries by Fries, Thomas-Peter, Omerović, Samir

“…Summary A unified strategy for the higher‐order accurate integration of implicitly defined geometries is proposed. The geometry is represented by a…”
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A corrected XFEM approximation without problems in blending elements by Fries, Thomas-Peter

“…The extended finite element method (XFEM) enables local enrichments of approximation spaces. Standard finite elements are used in the major part of the domain…”
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Simultaneous analysis of continuously embedded Reissner–Mindlin shells in 3D bulk domains by Kaiser, Michael Wolfgang, Fries, Thomas‐Peter

“…A mechanical model and numerical method for the simultaneous analysis of Reissner–Mindlin shells with geometries implied by a continuous set of level sets…”
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A higher‐order Trace finite element method for shells by Schöllhammer, Daniel, Fries, Thomas‐Peter

“…A higher‐order fictitious domain method (FDM) for Reissner–Mindlin shells is proposed which uses a three‐dimensional background mesh for the discretization…”
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On the simultaneous solution of structural membranes on all level sets within a bulk domain by Fries, Thomas-Peter, Kaiser, Michael Wolfgang

“…A mechanical model and numerical method for structural membranes implied by all isosurfaces of a level-set function in a three-dimensional bulk domain are…”
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Fast isogeometric boundary element method based on independent field approximation by Marussig, Benjamin, Zechner, Jürgen, Beer, Gernot, Fries, Thomas-Peter

“…An isogeometric boundary element method for problems in elasticity is presented, which is based on an independent approximation for the geometry, traction and…”
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Higher-order XFEM for curved strong and weak discontinuities by Cheng, Kwok Wah, Fries, Thomas-Peter

“…The extended finite element method (XFEM) enables the accurate approximation of solutions with jumps or kinks within elements. Optimal convergence rates have…”
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Crack propagation with the extended finite element method and a hybrid explicit-implicit crack description by Fries, Thomas-Peter, Baydoun, Malak

“…SUMMARY A method for two‐dimensional and three‐dimensional crack propagation that combines the advantages of explicit and implicit crack descriptions is…”
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Semi-implicit fluid–structure interaction in biomedical applications by Schussnig, Richard, Pacheco, Douglas R.Q., Kaltenbacher, Manfred, Fries, Thomas-Peter

“…Fluid–structure interaction (FSI) incorporates effects of fluid flows on deformable solids and vice versa. Complex biomedical problems in clinical applications…”
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On the role of tissue mechanics in fluid–structure interaction simulations of patient‐specific aortic dissection by Schussnig, Richard, Rolf‐Pissarczyk, Malte, Bäumler, Kathrin, Fries, Thomas‐Peter, Holzapfel, Gerhard A., Kronbichler, Martin

“…Modeling an aortic dissection represents a particular challenge from a numerical perspective, especially when it comes to the interaction between solid (aortic…”
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A global residual‐based stabilization for equal‐order finite element approximations of incompressible flows by Pacheco, Douglas R. Q., Schussnig, Richard, Steinbach, Olaf, Fries, Thomas‐Peter

“…Due to simplicity in implementation and data structure, elements with equal‐order interpolation of velocity and pressure are very popular in…”
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Conformal higher‐order remeshing schemes for implicitly defined interface problems by Omerović, Samir, Fries, Thomas‐Peter

“…Summary A new higher‐order accurate method is proposed that combines the advantages of the classical p‐version of the FEM on body‐fitted meshes with embedded…”
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The extended finite element method for two-phase and free-surface flows: A systematic study by Sauerland, Henning, Fries, Thomas-Peter

“…In immiscible two-phase flows, jumps or kinks are present in the velocity and pressure fields across the interfaces of the two fluids. The extended finite…”
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Loaded crack surfaces in two and three dimensions with XFEM by Schätzer, Markus, Fries, Thomas-Peter

“…A numerical framework in two and three dimensions is proposed for crack propagation induced by loaded crack surfaces. The method is based on the XFEM with a…”
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A semi‐automatic method for block‐structured hexahedral meshing of aortic dissections by Bošnjak, Domagoj, Pepe, Antonio, Schussnig, Richard, Egger, Jan, Fries, Thomas‐Peter

“…The article presents a semi‐automatic approach to generating structured hexahedral meshes of patient‐specific aortas ailed by aortic dissection. The condition…”
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An efficient split-step framework for non-Newtonian incompressible flow problems with consistent pressure boundary conditions by Pacheco, Douglas R.Q., Schussnig, Richard, Fries, Thomas-Peter

“…Incompressible flow problems with nonlinear viscosity, as they often appear in biomedical and industrial applications, impose several numerical challenges…”
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Robust stabilised finite element solvers for generalised Newtonian fluid flows by Schussnig, Richard, Pacheco, Douglas R.Q., Fries, Thomas-Peter

“…•Stabilised finite element method for incompressible non-Newtonian fluid flow.•Full consistency for low-order pairs by using only first-order…”
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Stable isogeometric analysis of trimmed geometries by Marussig, Benjamin, Zechner, Jürgen, Beer, Gernot, Fries, Thomas-Peter

“…We explore extended B-splines as a stable basis for isogeometric analysis with trimmed parameter spaces. The stabilization is accomplished by an appropriate…”
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