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- W635821486 abstract "This chapter presents a set of methods to implement an implicit Finite Element solver on the graphics processing units (GPU). The Finite Element Method (FEM) is broadly used to simulate deformable materials in physics simulations. Existing GPU-based methods implement FEM only with explicit time integrators, which are simple and easy to parallelize. However, these methods suffer from stability issues and require very small time steps to simulate stiff materials. The finite element method provides a means for discretizing and solving volumetric models of deformable materials. To parallelize a given set of computations on the GPU it is necessary to extract a massive level of parallelism, on the order of tens of thousands of threads. In many cases, the computations are independent except that they need to scatter their results onto a set of shared variables. This happens for instance when computing FEM elements accumulating forces to, or when computing a sparse matrix–vector product. Such operations can be represented as a graph, where nodes represent shared variables and edges the computations between them. A very common technique to parallelize such a graph is to partition it into a set of subgraphs, each computed by a different processor. To achieve maximum performance it is critical to design data layouts to optimize memory access. A common approach to improve cache efficiency of memory access patterns is to convert large arrays of structures into a structure of arrays. The fastest method to compute the local frame of an element, although not the most accurate one, is to set the origin at vertex p0 and use its adjacent edges." @default.
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- W635821486 date "2012-01-01" @default.
- W635821486 modified "2023-10-06" @default.
- W635821486 title "Implicit FEM Solver on GPU for Interactive Deformation Simulation" @default.
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- W635821486 doi "https://doi.org/10.1016/b978-0-12-385963-1.00021-6" @default.
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