This work presents a new approach to conformal all-quadrilateral mesh adaptation. Most current quadrilateral adaptivity techniques rely on mesh refinement or a complete remesh of the domain. In contrast, we introduce a new method that incorporates both conformal refinement and coarsening strategies on an existing mesh of any density or configuration. Given a sizing function, this method modifies the mesh by combining template-based quadrilateral refinement methods with recent developments in

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... alized quadrilateral coarsening and quality improvement into an automated mesh adaptation routine. Implementation details and examples are included.