Mesh refinement is a technique used in numerical analysis, particularly in finite element methods, to enhance the accuracy of solutions to partial differential equations by adjusting the size and distribution of mesh elements. This process involves creating a finer mesh in areas where higher resolution is needed, such as regions with steep gradients or complex geometries, while allowing coarser meshes in less critical areas. Effective mesh refinement can significantly improve the precision of results without unnecessarily increasing computational costs.
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