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無料のFEMをインストールまたはオンラインで使用できます

FEM software. Install is normally required (Mac, Windows, Linux) … but an online version is available (look at the right of the top menu): フリーフェム 有限要素法 このソフトウェアは、数値解法のために設計されています。 偏微分 2次元および3次元の偏微分方程式(PDE)を扱います。高レベルのドメイン固有言語を採用しており、低レベルのプログラミングを必要とせずに、変分形式、境界条件、複雑な形状を定義できます。

スクリプトコンソールと連携して動作するため、WYSIWYG(見たまま編集)とは少し異なりますが、計算内容を常に制御でき、反復処理にも対応できます。

ソースコードが公開されており、活発なコミュニティによるサポートも受けられます。

 このプラットフォームは以下の機能を提供します。

  • 局所的な精度向上のための、自動的な異方性メッシュ適応と精緻化。
  • P1、P2、およびラヴィアール・トーマス要素を含む、包括的な有限要素ライブラリ。
  • PETSc、HPDDM、MUMPSなどのソルバーとのMPI統合による並列コンピューティングのサポート。
  • 非線形システム、固有値問題、およびマルチフィジックス結合を解くための専用ツール。

In engineering and science, professionals apply FreeFem to conduct advanced structural analysis and fluid-structure interaction simulations. Mechanical engineers utilize its optimization algorithms for topology design, reducing material volume in manufacturing while ensuring structural performance. In fluid dynamics and thermal science, the tool facilitates the modeling of incompressible Navier-Stokes equations and heat transfer in complex geometries.

分野: 計算力学、流体力学、応用数学、電磁気学、地球物理学。
ANSYS Mechanical、Abaqus、COMSOLの無料代替ソフト。
FreeFEM compared with ANSYS Mechanical, Abaqus and COMSOL
FreeFEMANSYS MechanicalAbaqusCOMSOL
Technical basis and workflow: FreeFEM solves partial differential equations in 2D and 3D with the finite element method. You write the model as a script in the FreeFEM language, so the variational form and boundary conditions stay explicit and under your control.Technical basis and workflow: ANSYS Mechanical is a finite element analysis product used to evaluate strength, heat distribution and other physical behaviour of structures and components. It is typically run through the Ansys Workbench environment rather than from scripts.Technical basis and workflow: Abaqus is a suite of non-linear finite element solvers. Abaqus/Standard is an implicit solver for static and low-speed dynamic problems, Abaqus/Explicit handles high-speed dynamics, impact and crash, and Abaqus/CAE provides the pre- and post-processing.Technical basis and workflow: COMSOL Multiphysics is a commercial simulation platform for coupled physics problems. Models can be packaged as applications with the Application Builder and hosted with COMSOL Server.
ライセンスとコストモデル: FreeFEM is open source under the LGPL 3.0 and has no licence fee. It is the only option here that you can use, modify and redistribute freely.ライセンスとコストモデル: Ansys software is sold on an annual subscription basis, so budget for a recurring licence cost.ライセンスとコストモデル: Licensing is token based, per concurrent user and per additional core. It can be bought outright or leased yearly or quarterly, and the price depends on CPU and GPU cores and users, not on functionality.ライセンスとコストモデル: COMSOL offers Named Single User, Locked Single User (CPU), Floating Network and Class Kit licences. Floating licences are counted per concurrent user and suit shared engineering teams.
オープン性と拡張性: The source code is on GitHub and the language lets you implement your own physics modules. This suits researchers who need a formulation that no commercial solver provides.オープン性と拡張性: A Python interface automates geometry, meshing, loads and post-processing. User subroutines in Fortran or C++ (for example UMAT and VUMAT for custom materials) extend both solvers.オープン性と拡張性: Applications built with the Application Builder can be hosted inside or outside an organisation with a COMSOL Server licence, which is useful for giving non-specialists a restricted interface.
Meshing, solvers and scale: FreeFEM has a built-in mesher (BAMG) and works with Tetgen, Gmsh, Mmg and ParaView. It interfaces with MUMPS, PETSc and HPDDM for parallel solving, and links to the Qarnot and Rescale HPC clouds.Meshing, solvers and scale: Abaqus runs in parallel with MPI and threads, supports GPU acceleration and scales over several HPC nodes. Cloud deployment on Azure and AWS is described by the vendor.Meshing, solvers and scale: All COMSOL licence types support multicore processing and none is tied to one operating system. Floating Network licences also allow remote, cluster and cloud computing on Windows and Linux.
Status and ownership: The FreeFEM site gives no version number and points to the GitHub releases page for downloads. An online try-out is available from the site, though a local install is the normal route.Status and ownership: Synopsys completed its acquisition of Ansys on 17 July 2025, so Ansys is now a Synopsys subsidiary.Status and ownership: Abaqus is developed by Dassault Systemes under the SIMULIA brand and integrates with CATIA and SOLIDWORKS.

取り上げるトピック: FEM、有限要素ソフトウェア、数値解法、偏微分方程式、高レベルドメイン固有言語、変分形式、境界条件、複雑な形状、異方性メッシュ適応、並列コンピューティング、MPI統合、PETSc、HPDDM、MUMPS、非線形システム、固有値問題、マルチフィジックス結合、構造解析、流体構造相互作用、ISO 9001、ISO 14001、ISO/IEC 27001、ISO 50001、およびISO 45001。

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