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9 papers · 2 filters
Multi-symplectic discretisation of wave map equations
David Cohen, Olivier Verdier
We present a new multi-symplectic formulation of constrained Hamiltonian partial differential equations, and we study the associated local conservation laws. A multi-symplectic dis…
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…
Adaptive Finite Element Solution of Multiscale PDE-ODE Systems
A. Johansson, J. H. Chaudry, V. Carey +4
We consider adaptive finite element methods for solving a multiscale system consisting of a macroscale model comprising a system of reaction-diffusion partial differential equation…
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…