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Medusa, a novel library for implementation of strong form mesh-free methods,is described. We identify and present common parts and patterns among many suchmethods reported in the literature, such as node positioning, stencil selectionand stencil weight computation. Many different algorithms exist for each partand the possible combinations offer a plethora of possibilities forimprovements of solution procedures that are far from fully understood. As aconsequence there are still many unanswered questions in mesh-free communityresulting in vivid ongoing research in the field. Medusa implements the coremesh-free elements as independent blocks, which offers users great flexibilityin experimenting with the method they are developing, as well as easilycomparing it with other existing methods. The paper describes the chosenabstractions and their usage, illustrates aspects of the philosophy and design,offers some executions time benchmarks and demonstrates the application of thelibrary on cases from linear elasticity and fluid flow in irregular 2D and 3Ddomains.

Medusa: A C++ Library for solving PDEs using Strong Form Mesh-Free methods