78 citations · 242 across the 15 of their papers we have counts for
10 papers · 1 filter
Dual Weighted Residual-driven adaptive mesh refinement to enhance biomechanical simulations
Roland Becker, Franz Chouly, Michel Duprez +3
This chapter describes how a posteriori error estimates targeting a user-defined quantity of interest, using the Dual Weighted Residual (DWR) technique, can be easily applied for b…
A short perspective on a posteriori error control and adaptive discretizations
Roland Becker, Stéphane P. A. Bordas, Franz Chouly +1
Error control by means of a posteriori error estimators or indica-tors and adaptive discretizations, such as adaptive mesh refinement, have emerged in the late seventies. Since the…
Stokes problem with slip boundary conditions using stabilized finite elements combined with Nitsche
Rodolfo Araya, Alfonso Caiazzo, Franz Chouly
We discuss how slip conditions for the Stokes equation can be handled using Nitsche method, for a stabilized finite element discretization. Emphasis is made on the interplay betwee…
Enhancing Biomechanical Simulations Based on A Posteriori Error Estimates: The Potential of Dual Weighted Residual-Driven Adaptive Mesh Refinement
Huu Phuoc Bui, Michel Duprez, Pierre-Yves Rohan +4
The Finite Element Method (FEM) is a well-established procedure for computing approximate solutions to deterministic engineering problems described by partial differential equation…
An a posteriori error estimator for the spectral fractional power of the Laplacian
Raphaël Bulle, Olga Barrera, Stéphane P. A. Bordas +2
We develop a novel a posteriori error estimator for the error committed by the finite element discretization of the solution of the fractional Laplacian. Our a posteriori err…
Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS Project
Raphaël Bulle, Jack S. Hale, Alexei Lozinski +2
In the seminal paper of Bank and Weiser [Math. Comp., 44 (1985), pp.283-301] a new a posteriori estimator was introduced. This estimator requires the solution of a local Neumann pr…