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20102023
most citedFast MATLAB assembly of FEM matrices in 2D and 3D: Edge elements

47 citations · 79 across the 24 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

math.OC2021

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…

math.NA2021

Linearization and Computation for Large-Strain Viscoelasticity

Patrick Dondl, Martin Jesenko, Martin Kružík +1

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 dissipa…

cs.MS2021★ 14 cited

Fast MATLAB evaluation of nonlinear energies using FEM in 2D and 3D: nodal elements

Alexej Moskovka, Jan Valdman

Nonlinear energy functionals appearing in the calculus of variations can be discretized by the finite element (FE) method and formulated as a sum of energy contributions from local…

math.OC2021

On the solution of contact problems with Tresca friction by the semismooth* Newton method

Helmut Gfrerer, Jiri V. Outrata, Jan Valdman

An equilibrium of a linear elastic body subject to loading and satisfying the friction and contact conditions can be described by a variational inequality of the second kind and th…

math.NA2021★ 6 cited

Minimization of p-Laplacian via the Finite Element Method in MATLAB

Ctirad Matonoha, Alexej Moskovka, Jan Valdman

Minimization of energy functionals is based on a discretization by the finite element method and optimization by the trust-region method. A key tool is a local evaluation of the ap…