6 papers
On a vectorized basic linear algebra package for prototyping codes in MATLAB
Alexej Moskovka, Talal Rahman, Jan Valdman +1
When writing high-performance code for numerical computation in a scripting language like MATLAB, it is crucial to have the operations in a large for-loop vectorized. If not, the c…
Vectorized implementation of primal hybrid FEM in MATLAB
Harish Nagula Mallesham, Kamana Porwal, Jan Valdman +1
We present efficient MATLAB implementations of the lowest-order primal hybrid finite element method (FEM) for linear second-order elliptic and parabolic problems with mixed boundar…
Minimization of energy functionals via FEM: implementation of hp-FEM
Miroslav Frost, Alexej Moskovka, Jan Valdman
Many problems in science and engineering can be rigorously recast into minimizing a suitable energy functional. We have been developing efficient and flexible solution strategies t…
Surface penalization of self-interpenetration in linear and nonlinear elasticity
Stefan Krömer, Jan Valdman
We analyze a term penalizing surface self-penetration, as a soft constraint for models of hyperelastic materials to approximate the Ciarlet-Nečas condition (almost everywhere globa…
Elastoplastic deformations of layered structures
Daria Drozdenko, Michal Knapek, Martin Kružík +3
We formulate a large-strain model of single-slip crystal elastoplasticity in the framework of energetic solutions. Numerical performance of the model is compared with lab experimen…
On the application of the SCD semismooth* Newton method to variational inequalities of the second kind
Helmut Gfrerer, Jiri V. Outrata, Jan Valdman
The paper starts with a description of the SCD (subspace containing derivative) mappings and the SCD semismooth* Newton method for the solution of general inclusions. This method i…