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11 papers · 2 filters
A fully discrete approximation of the one-dimensional stochastic heat equation
Rikard Anton, David Cohen, Lluis Quer-Sardanyons
A fully discrete approximation of the one-dimensional stochastic heat equation driven by multiplicative space-time white noise is presented. The standard finite difference approxim…
Stabilization of High Order Cut Finite Element Methods on Surfaces
Mats G. Larson, Sara Zahedi
We develop and analyze a stabilization term for cut finite element approximations of an elliptic second order partial differential equation on a surface embedded in .…
A note on the penalty parameter in Nitsche's method for unfitted boundary value problems
Frits de Prenter, Christoph Lehrenfeld, André Massing
Nitsche's method is a popular approach to implement Dirichlet-type boundary conditions in situations where a strong imposition is either inconvenient or simply not feasible. The me…
A Simple Finite Element Method for Elliptic Bulk Problems with Embedded Surfaces
Erik Burman, Peter Hansbo, Mats G. Larson
In this paper we develop a simple finite element method for simulation of embedded layers of high permeability in a matrix of lower permeability using a basic model of Darcy flow i…
A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions
M. Winter, B. Schott, A. Massing +1
In this work a Nitsche-based imposition of generalized Navier conditions on cut meshes for the Oseen problem is presented. Other methods from literature dealing with the generalize…
A simple approach for finite element simulation of reinforced plates
Erik Burman, Peter Hansbo, Mats G. Larson
We present a new approach for adding Bernoulli beam reinforcements to Kirchhoff plates. The plate is discretised using a continuous/discontinuous finite element method based on sta…