106 citations · 565 across the 59 of their papers we have counts for
4 papers · 1 filter
Tangential differential calculus and the finite element modeling of a large deformation elastic membrane shell problem
Peter Hansbo, Mats G. Larson, Fredrik Larsson
We develop a finite element method for a large deformation membrane elasticity problem on meshed surfaces using a tangential differential calculus approach that avoids the use of c…
Stabilized Finite Element Approximation of the Mean Curvature Vector on Closed Surfaces
Peter Hansbo, Mats G. Larson, Sara Zahedi
We develop a stabilized discrete Laplace-Beltrami operator that is used to compute an approximate mean curvature vector which enjoys convergence of order one in L2. The stabilizati…
Cut Finite Element Methods for Coupled Bulk-Surface Problems
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a cut finite element method for a second order elliptic coupled bulk-surface model problem. We prove a priori estimates for the energy and norms of the error. Usin…
Minimal surface computation using a finite element method on an embedded surface
Mirza Cenanovic, Peter Hansbo, Mats G. Larson
We suggest a finite element method for computing minimal surfaces based on computing a discrete Laplace-Beltrami operator operating on the coordinates of the surface. The surface i…