Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
3.1 Introduction and Background
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In recent history, the area of physics-based engineering simulation has seen rapid increases in both computer workstation performance as well as common engineering model complexity, both driven largely in part by advances in memory density and availability of clusters and multi-core processors. While the increase in computation time due to model complexity has been largely offset by the increased performance of modern workstations, the increase in model setup time due to model complexity has continued to rise. As such, the major time requirement for solving an engineering model has transitioned from computation time to problem setup time. This is due to the fact that developing the required mesh for complex geometries can be an extremely complicated and time consuming task, and consequently, new solution techniques that can reduce the required amount of human interaction are desirable.