Learning hub for continuum mechanics and finite elements

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Introduction to Continuum Mechanics
Kinematics of Deformation
Balance Laws & Conservation
Constitutive Models
Finite Element Method (Introduction)
Element Types & Families (Chooser)
Mesh Generation & Embedded/Unfitted Methods (FEM/FCM)
Shape Functions & Isoparametric Mapping
Numerical Integration & Gauss Quadrature
Assembly of the Global Stiffness Matrix
Boundary Conditions & Loads
Solving Linear Systems
Nonlinear FEM
Newton–Raphson Iteration in FEM
Static Condensation & Schur Complement
Time-Dependent Problems
Fracture Mechanics
Composite Materials – Effective Properties
Composite Materials – Failure Modes
Soil & Geomechanics: Consolidation Theory
Heat Transfer & Multiphysics FEM
Battery Mechanics – Structural Aspects
Battery FEM – Coupled Electro-Chemo-Mechanics
GPU Programming for Engineers
Sparse Linear Algebra on GPUs
Performance Comparison: CPU vs GPU in FEM
Future of FEM: Multiscale & Multiphysics
Matrix Fundamentals (Dense & Sparse)
Sparse Formats & Performance
CPU Linear Algebra Libraries
GPU Linear Algebra Libraries
Solvers & Preconditioning
Matrix Assembly & Graph Reordering
MATLAB-like Basics for FEM
Plotting & Postprocessing (MATLAB/Python)
NumPy/SciPy Equivalents
Benchmarking & Profiling
I/O & Interchange Formats

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