A real-time multigrid finite hexahedra method for elasticity simulation using CUDA

Deformation simulation using cubic finite elements and efficient p-multigrid methods

“…Parallelizing all of the building blocks of our multigrid algorithm on GPUs and comparing the speedup to the one achieved in our previous work [19] could make our algorithm viable for interactive use. We also expect GPU performance benefits comparable to the multigrid work by Dick et al [24,23] . 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2...…”

“…In the context of deformation simulation Zhu et al [22] propose a multigrid framework based on finite differences. Dick et al [23] use hexahedral finite elements discretization on a regular grid and solve the linear systems using a GPU-based multigrid method. In [24] they extend this approach for simulating cuts.…”

CPU–GPU mixed implementation of virtual node method for real-time interactive cutting of deformable objects using OpenCL

“…Taylor et al [10] and Joldes et al [11] used CUDA to accelerate nonlinear FEM deformation. Dick et al [12] used CUDA to implement a multi-grid deformation solver with co-rotational linear FEM based on adaptive octree mesh. LeBlanc et al [13] used CUDA to accelerate meshfree deformation with the ability to simulate impact and damage.…”

Accelerated finite element elastodynamic simulations using the GPU

“…FEAST has an interesting approach to the challenges associated with solving problems on unstructured FE meshes using parallel architectures, subdividing the domain into regions of locally structured sections, which enables better performance. There have also been several applications of GPUs to non-linear elastic FE problems, [32] for soft tissue modelling, and [33] for large elastic deformations.…”