Numerical Web

Tag: Finite Element Method

  • OpenRadioss

    Introduction OpenRADIOSS is a software package for nonlinear and linear structural analysis. It is a solver for finite element analysis and includes support for various elements such as truss, beam, shell, and solid elements. OpenRADIOSS is an open-source software package, which means that it is free to use, distribute, and modify. It is developed and…

  • MFEM Tutorials (4) Simple Electomagnetic Diffusion Part C

    Assemble the bilinear form and the corresponding linear system Assemble the bilinear form and the corresponding linear system, applying any necessary transformations such as: eliminating boundary conditions, applying conforming constraints for non-conforming AMR, static condensation, etc. This code first checks if the “static_cond” variable is true. If it is, it calls the EnableStaticCondensation method on…

  • MFEM Tutorials (4) Simple Electromagnetic Diffusion Part B

    Read and refined the mesh from the given mesh file We can handle triangular, quadrilateral, tetrahedral, hexahedral, surface and volume meshes with the same code. Refine the mesh to increase the resolution. In this example we do ‘ref_levels’ of uniform refinement. We choose ‘ref_levels’ to be the/ largest number that gives a final mesh with…

  • NGSOLVE Tutorial (4) Static Condensation Part A

    Descriptions Static condensation is a technique used in the solution of partial differential equations (PDEs) to reduce the size of the system to be solved. In the context of the ngsolve example, it likely refers to the use of static condensation to reduce the size of the system of equations being solved by the solver…

  • MFEM Tutorials (3) Simple Linear Elasticity Problem Describing a Multi-Material Cantilever Beam Part B

    Define a finite element space on the mesh. Here we use vector finite elements, i.e. dim copies of a scalar finite element space. The vector dimension is specified by the last argument of the FiniteElementSpace constructor. For NURBS meshes, we use the (degree elevated) NURBS space associated with the mesh nodes. This code sets up…

  • MFEM Tutorials (2) Simplest MFEM of Laplace Problem with Various Options Part B

    Set up the bilinear form a(.,.) on the finite element space Set up the bilinear form a(.,.) on the finite element space corresponding to the Laplacian operator -Delta, by adding the Diffusion domain integrator. This code is the same as I explained earlier, it creates a BilinearForm object, “a”, which is used to represent the…

  • NGSolve Tutorials (3) Dirichlet Boundary Conditions Part C

    Solve for the free dofs¶ We need to assemble the right hand side of $A_{FF}u_{0,F}=f_F-\left[ Au_D \right]_F$, namely This code creates a linear form f, and it represents the left hand side of the weak form of a PDE. In this case, a constant function 1 is used as a forcing term and multiplied by…

  • NGSolve Tutorials (3) Dirichlet Boundary Conditions Part B

    Extension of boundary data¶ We use the standard technique of reducing a problem with essential non-homogeneous boundary conditions to one with homogeneous boundary condition using an extension. The solution $u$ in $H_1$ satisfiesu$\Gamma_D=g$ and for all $v_0$ in $\in H_{0,D}^1= { v \in H^1 : v|_{\Gamma_D} = 0 }$. Split the solution where $u_D$ is…

  • WebGUI Capability of Opensource Finite Element Tools

    there are a few that have web-based graphical user interfaces (GUIs) available: Overall, while some of the open-source tools above can be used with web-based GUIs, it is not all of them have this capability, most of them require some programming knowledge to use, and they are mostly command line interface based. However, you can…

  • Heat Transfer Analysis and Open Sourced Finite Element Tools (3) About Opensources

    CodeAster: Code_Aster is an open-source software for finite element analysis (FEA) developed by EDF (French electric company). It can be used to solve a wide range of problems, including heat transfer problems. It is primarily written in Fortran language and provides a comprehensive set of features for solving both steady-state and transient heat transfer problems.…