139 research outputs found
Nitsche's method for Kirchhoff plates
We introduce a Nitsche's method for the numerical approximation of the
Kirchhoff-Love plate equation under general Robin-type boundary conditions. We
analyze the method by presenting a priori and a posteriori error estimates in
mesh-dependent norms. Several numerical examples are given to validate the
approach and demonstrate its properties
On Nitsche's method for elastic contact problems
We show quasi-optimality and a posteriori error estimates for the
frictionless contact problem between two elastic bodies with a zero-gap
function. The analysis is based on interpreting Nitsche's method as a
stabilised finite element method for which the error estimates can be obtained
with minimal regularity assumptions and without the saturation assumption. We
present three different Nitsche's mortaring techniques for the contact boundary
each corresponding to a different stabilising term. Our numerical experiments
show the robustness of Nitsche's method and corroborates the efficiency of the
a posteriori error estimators
Mortaring for linear elasticity using mixed and stabilized finite elements
The purpose of this work is to study mortar methods for linear elasticity
using standard low order finite element spaces. Based on residual
stabilization, we introduce a stabilized mortar method for linear elasticity
and compare it to the unstabilized mixed mortar method. For simplicity, both
methods use a Lagrange multiplier defined on a trace mesh inherited from one
side of the interface only. We derive a quasi-optimality estimate for the
stabilized method and present the stability criteria of the mixed
approximation. Our numerical results demonstrate the stability and the
convergence of the methods for tie contact problems. Moreover, the results show
that the mixed method can be successfully extended to three dimensional
problems
Recognizing design patterns in C++ programs with the integration of Columbus and Maisa
A method for recognizing design patterns from C++ programs is presented. The method consists of two separate phases, analysis and reverse engineering of the C++ code, and architectural pattern matching over the reverse-engineered intermediate code representation. It is shown how the pattern recognition effect can be realized by integrating two specialized software tools, the reverse engineering framework Columbus and the architectural metrics analyzer Maisa. The method and the integrated power of the tool set are illustrated with small experiments
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