Application of the Monte Carlo method with meshless random walk procedure to selected scalar elliptic problems

DOI10.24423/aom.3111zbMath1450.74036OpenAlexW2991295163MaRDI QIDQ4971246

Sławomir Milewski

Publication date: 12 October 2020

Full work available at URL: https://am.ippt.pan.pl/am/article/view/v71p337

zbMATH Keywords

inverse heat transfer problemmeshless finite difference methodanisotropic heat transferprismatic bar torsion

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thermal effects in solid mechanics (74F05) Finite difference methods applied to problems in solid mechanics (74S20) Inverse problems in thermodynamics and heat transfer (80A23) Diffusive and convective heat and mass transfer, heat flow (80A19) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60) Monte Carlo methods applied to problems in thermodynamics and heat transfer (80M31)

Uses Software

• Mfree2D

Cites Work

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• Meshless finite difference method with higher order approximation -- applications in mechanics
• Boundary integral equation methods and numerical solutions. Thin plates on an elastic foundation
• Reproducing kernel particle methods

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