144 citations · 530 across the 17 of their papers we have counts for
19 papers
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…
Reissner-Mindlin shell theory based on tangential differential calculus
D. Schöllhammer, T. P. Fries
The linear Reissner-Mindlin shell theory is reformulated in the frame of the tangential differential calculus (TDC) using a global Cartesian coordinate system. The rotation of the…
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…
Higher-order meshing of implicit geometries - part III: Conformal Decomposition FEM (CDFEM)
T. P. Fries
A higher-order accurate finite element method is proposed which uses automatically generated meshes based on implicit level-set data for the description of boundaries and interface…
Higher-order meshing of implicit geometries - part II: Approximations on manifolds
T. P. Fries, D. Schöllhammer
A new concept for the higher-order accurate approximation of partial differential equations on manifolds is proposed where a surface mesh composed by higher-order elements is autom…
Higher-order meshing of implicit geometries - part I: Integration and interpolation in cut elements
T. P. Fries, S. Omerović, D. Schöllhammer +1
An accurate implicit description of geometries is enabled by the level-set method. Level-set data is given at the nodes of a higher-order background mesh and the interpolated zero-…
Conformal higher-order remeshing schemes for implicitly defined interface problems
Samir Omerović, Thomas-Peter Fries
A new higher-order accurate method is proposed that combines the advantages of the classical -version of the FEM on body-fitted meshes with embedded domain methods. A background…
Stable Isogeometric Analysis of Trimmed Geometries
Benjamin Marussig, Jürgen Zechner, Gernot Beer +1
We explore extended B-splines as a stable basis for isogeometric analysis with trimmed parameter spaces. The stabilization is accomplished by an appropriate substitution of B-splin…
Isogeometric Boundary Element Analysis with elasto-plastic inclusions. Part 1: Plane problems
Gernot Beer, Benjamin Marussig, Jürgen Zechner +2
In this work a novel approach is presented for the isogeometric Boundary Element analysis of domains that contain inclusions with different elastic properties than the ones used fo…
The Isogeometric Nyström Method
Jürgen Zechner, Benjamin Marussig, Gernot Beer +1
In this paper the isogeometric Nyström method is presented. It's outstanding features are: it allows the analysis of domains described by many different geometrical mapping methods…
Boundary Element Analysis with trimmed NURBS and a generalized IGA approach
Gernot Beer, Benjamin Marussig, Jürgen Zechner +2
A novel approach to the simulation with the boundary element method using trimmed NURBS patches is presented. The advantage of this approach is its efficiency and easy implementati…
Isogeometric Boundary Element Method with Hierarchical Matrices
Jürgen Zechner, Benjamin Marussig, Gernot Beer +1
In this work we address the complexity problem of the isogeometric Boundary Element Method by proposing a collocation scheme for practical problems in linear elasticity and the app…
Fast Isogeometric Boundary Element Method based on Independent Field Approximation
Benjamin Marussig, Jürgen Zechner, Gernot Beer +1
An isogeometric boundary element method for problems in elasticity is presented, which is based on an independent approximation for the geometry, traction and displacement field. T…