Zobrazeno 1 - 10
of 140
pro vyhledávání: '"Valdman, Jan"'
Autor:
Béreš, Michal, Valdman, Jan
This contribution examines the capabilities of the Python ecosystem to solve nonlinear energy minimization problems, with a particular focus on transitioning from traditional MATLAB methods to Python's advanced computational tools, such as automatic
Externí odkaz:
http://arxiv.org/abs/2407.04706
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 code becomes too slow to use, even for a moderately large problem. Howe
Externí odkaz:
http://arxiv.org/abs/2404.16039
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 boundary conditions in two spatial dimensions. We employ the Crank-Nicolson f
Externí odkaz:
http://arxiv.org/abs/2401.15557
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 to tackle various minimization problems by employing finite element dis
Externí odkaz:
http://arxiv.org/abs/2309.13028
Let $Q$ be a Lipschitz domain in $\mathbb{R}^n$ and let $f \in L^{\infty}(Q)$. We investigate conditions under which the functional $$I_n(\varphi)=\int_Q |\nabla \varphi|^n+ f(x)\,\mathrm{det} \nabla \varphi\, \mathrm{d}x $$ obeys $I_n \geq 0$ for al
Externí odkaz:
http://arxiv.org/abs/2306.11022
Autor:
Krömer, Stefan, Valdman, Jan
We analyze a term penalizing surface self-penetration, as a soft constraint for models of hyperelastic materials to approximate the Ciarlet-Ne\v{c}as condition (almost everywhere global invertibility of deformations). For a linear elastic energy subj
Externí odkaz:
http://arxiv.org/abs/2302.06268
Autor:
Drozdenko, Daria, Knapek, Michal, Kružík, Martin, Máthis, Kristián, Švadlenka, Karel, Valdman, Jan
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 experiments on the compression of a stack of note papers.
Externí odkaz:
http://arxiv.org/abs/2207.01986
Autor:
Moskovka, Alexej, Valdman, Jan
A simple MATLAB implementation of hierarchical shape functions on 2D rectangles is explained and available for download. Global shape functions are ordered for a given polynomial degree according to the indices of the nodes, edges, or elements to whi
Externí odkaz:
http://arxiv.org/abs/2205.07637
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 is then applied to a class of variational inequalities of the second ki
Externí odkaz:
http://arxiv.org/abs/2112.08080
Time-discrete numerical minimization schemes for simple viscoelastic materials in the large strain Kelvin-Voigt rheology are not well-posed due to non-quasiconvexity of the dissipation functional. A possible solution is to resort into non-simple mate
Externí odkaz:
http://arxiv.org/abs/2110.13728