5 papers
A Physics-Based Estimation of Mean Curvature Normal Vector for Triangulated Surfaces
Sudip Kumar Das, Mirza Cenanovic, Junfeng Zhang
In this note, we derive an approximation for the mean curvature normal vector on vertices of triangulated surface meshes from the Young-Laplace equation and the force balance princ…
Modified midpoint integration rule for the trilinear element in large deformation elasticity
Mirza Cenanovic, Peter Hansbo, David Samvin
In this paper we suggest two modified one-point Gauss integration rules for the Q1 bi- or trilinear element. The modifications both stabilize the hourglass modes of the one-point r…
TraceFEM for the membrane problem using distance functions on and tetrahedra
Mirza Cenanovic
We consider Trace finite element methods for the linear membrane problem on second order tetrahedral elements. To accomplish this, zero-level set reconstruction methods for second…
Finite element procedures for computing normals and mean curvature on triangulated surfaces and their use for mesh refinement
Mirza Cenanovic, Peter Hansbo, Mats G. Larson
In this paper we consider finite element approaches to computing the mean curvature vector and normal at the vertices of piecewise linear triangulated surfaces. In particular, we a…
Cut finite element modeling of linear membranes
Mirza Cenanovic, Peter Hansbo, Mats G. Larson
We construct a cut finite element method for the membrane elasticity problem on an embedded mesh using tangential differential calculus. Both free membranes and membranes coupled t…