144 citations · 530 across the 17 of their papers we have counts for
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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-…