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.
KeywordsWeak Formulation Discretization Method General Quadrilateral Regular Mesh Diagonal Dominance
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