Numerical Web

Category: Finite Element

  • 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…

  • Open CASCADE

    Introduction Open CASCADE Technology (OCCT) is a powerful open-source 3D modeling and visualization library. It provides a wide range of algorithms and data structures for 3D modeling, including CAD/CAM/CAE, AEC, and GIS applications. It offers a comprehensive set of features for 3D modeling, including 3D surface and solid modeling, visualization, data exchange, and numerical simulation.…

  • Open Source Modelling and Visualization Libraries

    Introduction Open source 3D modeling and visualization refers to the use of software and tools that are freely available and can be modified and distributed by anyone. These tools and libraries provide a wide range of functionality for 3D modeling and visualization, including the ability to create and edit 3D models, perform numerical simulations, 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…

  • MFEM Tutorials (4) Simple Electromagnetic Diffusion Part A

    This example code solves a simple electromagnetic diffusion problem corresponding to the second order definite Maxwell equation with boundary condition Here, we use a given exact solution $E$ and compute the corresponding r.h.s. f. We discretize with Nedelec finite elements in 2D or 3D. The example demonstrates the use of $H$(curl) finite element spaces with…

  • NGSOLVE Tutorial (4) Static Condensation Part B. Inhomogeneous Dirichlet B.C and Automatic utility

    Inhomogeneous Dirichlet Boundary Conditions In case of inhomogeneous Dirichlet boundary conditions, we combine the technique of Dirichlet data extension with the above static condensation principle in the following code. The code you provided is solving a Poisson equation with a manufactured solution and then calculates the error between the manufactured solution and the numerical solution…

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

    Description This example code solves a simple linear elasticity problem describing a multi-material cantilever beam. Specifically, we approximate the weak form of where is the stress tensor corresponding to displacement field $\textit{\textbf{u}}$, and lambda and mu // are the material Lame constants. The boundary conditions are $\textit{\textbf{u}}=0$ on the fixed part of the boundary with…