> For the complete documentation index, see [llms.txt](https://manual-2.karamba3d.com/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://manual-2.karamba3d.com/troubleshooting/4.3.-miscellaneous-problems/4.3.1-installation-issues.md). # 4.1.0: FAQ ## Why can Karamba3D calculate so fast – what is the solver behind? The calculation part of Karamba3D is implemented in C++ and utilizes parallelization whenever possible. The solver used in Karamba3D is Pardiso which comes as part of Intels Math kernel Library (MKL) ## What are the calculation methods? In the case of beams a power series approach is used for calculating the element stiffness and states at arbitrary positions along the elements. The method is based on that developed by Helmut Rubin and includes second order theory. The beam formulation is based on the Timoshenko-Ehrenfest beam theory and includes shear deformations. The triangular shell elements are based on the TRIC element by Argyris and are currently based on a Euler-Bernoulli approach where the line initially perpendicular to the middle plane remains perpendicular to the deformed configuration. ## What is the buckling calculation method? Buckling calculations in Karamba3D are based on the solution of the general Eigenvalue problem which involves the elastic and geometric stiffness matrices of the system. The solution of the Eigenvalue problem is done via Arpack which utilizes the Implicitly Restarted Arnoldi Method. --- # Agent Instructions This documentation is published with GitBook. GitBook is the documentation platform designed so that both humans and AI agents can read, navigate, and reason over technical content effectively. Learn more at gitbook.com. ## Querying This Documentation If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question. Perform an HTTP GET request on the current page URL with the `ask` query parameter, and the optional `goal` query parameter: ``` GET https://manual-2.karamba3d.com/troubleshooting/4.3.-miscellaneous-problems/4.3.1-installation-issues.md?ask=&goal= ``` `ask` is the immediate question: it should be specific, self-contained, and written in natural language. `goal` is optional and describes the broader end goal you are ultimately trying to accomplish on behalf of the user. GitBook uses it to tailor the answer towards what is most useful for that goal. The response will contain a direct answer to the question and relevant excerpts and sources from the documentation. Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.