The weak form refers to a method used in solving partial differential equations (PDEs) using the finite element method in the field of computational physics and engineering. In this approach, the PDE is multiplied by a weight function and integrated over the domain of interest, resulting in an integral equation. This integral equation is then discretized using a set of basis functions to approximate the unknown solution. The weak form is particularly useful when dealing with complex geometries or boundary conditions and allows for efficient and accurate numerical solutions to PDEs.
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