144 citations · 530 across the 17 of their papers we have counts for
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Reducing Meshing Requirements for Electrostatic Problems using a Galerkin Boundary Element Method
Benjamin Marussig, Thomas Rüberg, Jürgen Zechner +2
This work focuses on model preparation for electrostatic simulations of CAD designs to realize a rapid virtual prototyping concept. We present a boundary element method (BEM) allow…
Simultaneous Analysis of Continuously Embedded Reissner-Mindlin Shells in 3D Bulk Domains
Michael Wolfgang Kaiser, Thomas-Peter Fries
A mechanical model and numerical method for the simultaneous analysis of Reissner-Mindlin shells with geometries implied by a continuous set of level sets (isosurfaces) over some t…
On the Simultaneous Solution of Structural Membranes on all Level Sets within a Bulk Domain
Thomas-Peter Fries, Michael W. Kaiser
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 proposed. The mechanical…
A Consistent Higher-Order Isogeometric Shell Formulation
Daniel Schöllhammer, Benjamin Marussig, Thomas-Peter Fries
Shell analysis is a well-established field, but achieving optimal higher-order convergence rates for such simulations is a difficult challenge. We present an isogeometric Kirchhoff…
A Higher-order Trace Finite Element Method for Shells
D. Schöllhammer, T. P. Fries
A higher-order fictitious domain method (FDM) for Reissner-Mindlin shells is proposed which uses a three-dimensional background mesh for the discretization. The midsurface of the s…
A Unified Finite Strain Theory for Membranes and Ropes
Thomas-Peter Fries, Daniel Schöllhammer
The finite strain theory is reformulated in the frame of the Tangential Differential Calculus (TDC) resulting in a unification in a threefold sense. Firstly, ropes, membranes and t…
Kirchhoff-Love shell theory based on tangential differential calculus
D. Schöllhammer, T. P. Fries
The Kirchhoff-Love shell theory is recasted in the frame of the tangential differential calculus (TDC) where differential operators on surfaces are formulated based on global, thre…
Higher-order surface FEM for incompressible Navier-Stokes flows on manifolds
Thomas-Peter Fries
Stationary and instationary Stokes and Navier-Stokes flows are considered on two-dimensional manifolds, i.e., on curved surfaces in three dimensions. The higher-order surface FEM i…