Introduction to the Finite Element Method - Lecture 02
Introduction to the Finite Element Method - Lecture 02
Introduction to the Finite Element Method - Lecture 02
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Boundary Value Problem<br />
<strong>Lecture</strong> <strong>02</strong><br />
pk285@<br />
Boundary<br />
Value<br />
Problems<br />
<strong>Finite</strong> <strong>Element</strong><br />
<strong>Method</strong><br />
Function Spaces<br />
Weak Forms<br />
Boundary Value Problem (BVP)<br />
EA d 2 u(x)<br />
dx 2 + b(x) = 0 ∀x ∈ (0, L) (3)<br />
Approximate derivatives with finite differences, i.e.:<br />
du<br />
dx = lim u(x + h) − u(x) u(x + h) − u(x)<br />
≈ for 0 < h
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