Finite Elements

Part of the Numerical Methods and Algorithms book series (NUAL, volume 2)

In this chapter, we present the weak formulation of the boundary-value problem and the finite-element discretization method derived from it. We start from structured bilinear finite-element meshes, and proceed to highly unstructured linear finite-element triangulations, which use local and adaptive refinement to approximate complicated domains and irregular solutions efficiently.


Weak Formulation Discretization Method General Quadrilateral Regular Mesh Diagonal Dominance 
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© Springer Science+Business Media, LLC 2008

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