The finite element method is an approximation technique for discrete numerical solution of continuum field equations: typically PDEs for some unknown quantity which is a function of one or several spatial variables. It serves to solve problems with complex geometry and conditions by approximating a solution.
The standard steps in the finite element method:
1. Discretize continuous body into elements
2. Approximate local behavior of elements in terms of discrete DOFs
3. Patch together or assemble elements to form a global system of algebraic equations
4. Solve for discrete DOFs.
The standard steps in the finite element method:
1. Discretize continuous body into elements
2. Approximate local behavior of elements in terms of discrete DOFs
3. Patch together or assemble elements to form a global system of algebraic equations
4. Solve for discrete DOFs.