Comparing Direct and Mixed Methods of Solution in a Discretized Framework of a Mass-Spring System
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In a discretized framework of a simplified system of masses and springs, the vector representing displacements in masses may be solved for via the direct method or the mixed method. The direct method combines a series of matrix equations into one compact matrix equation. The mixed method interprets the matrix equations as a system of equations, introducing a new matrix equation with matrices as all of the entries. The goal of this project is to determine which method is more accurate and which method consumes less computer memory.
Abstract of Work Presented at 2017 Student Project Showcase