Currently the most popular numerical methods used for solving transient heat conduction
problems, finite element method (FEM) and boundary element method (BEM), have one …

The paper presents the concept of modeling uncertainly defined shape of the boundary in
two-dimensional boundary value problems described by Laplace equation. The authors …

The paper presents the approximation strategy for solutions and derivatives of solutions of
boundary value problems on the example of two-dimensional solids. The effectiveness of …

The most popular methods used for solving transient heat conduction problems, like finite
element method (FEM) and boundary element method (BEM), require discretization of the …

The paper presents an unambiguous modelling of imprecisely defined shapes of closed
curves using classical and directed interval arithmetic. The authors focus on the …

This paper presents a way to improve the boundary shape modeling process in solving
boundary value problems in elasticity. The inclusion of NURBS curves into the mathematical …

The main purpose of this paper is examination of an application of modern parallel
computing technique OpenMP to speed up the calculation in the numerical solution of …

The paper presents the formalism of the parametric integral equation system (PIES) for two-
dimensional elastoplastic problems and the algorithm for its numerical solution. The …

This paper is an extended version of the ICCS conference paper (Kapturczak et al., 2020,[1])
and presents a way to improve the boundary shape modeling process in solving boundary …

In this paper, we present a modification of the Somigliana identity for the 3D Navier–Lamé
equation in order to analytically include in its mathematical formalism the boundary …