Why Does the Bridge Sag Like That? The Direct Stiffness Method for Trusses
·4 min read
Assembling bar element stiffness matrices to solve truss displacements with FEM
Discontinuous Galerkin Method (DGM): High-Precision Discretization for Unstructured Grid Compressible Flow Analysis
·4 min read
Step-by-step summary from DGM weak form derivation to Gauss quadrature and unstructured grid implementation.
FEM for Rigid Body Dynamics: Quaternion-based Rotation Handling and Inertia Tensors
·3 min read
Methods for representing rotations with quaternions and handling inertia tensors in FEM rigid body simulations.
FDM vs FEM vs FVM: The Essential Differences Between Three Discretization Techniques
·6 min read
A comparison of the mathematical origins, pros and cons, and best application areas for the Finite Difference Method (FDM), Finite Element Method (FEM), and Finite Volume Method (FVM).