Hp-refinement is a technique used in finite element methods that combines two strategies: 'h-refinement' and 'p-refinement'. This approach involves both refining the mesh to create smaller elements (h-refinement) and increasing the polynomial degree of the shape functions used within those elements (p-refinement). The goal is to enhance the accuracy of numerical solutions while maintaining computational efficiency, adapting the solution strategy to better fit the problem at hand.
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