Finite Element Tensor Network Solvers for High Dimensional PDE

Learn how to tackle high-dimensional kinetic equations in radiation transport and Vlasov models using a novel computational framework that combines MFEM finite element methods with tensor network solvers. Discover the architectural design for coupling finite element discretizations with the BoBa tensor network package to efficiently handle complex high-dimensional state spaces and overcome the curse of dimensionality. Explore the technical implementation details of finite element tensor network solvers and their applications in large-scale scientific simulations, as presented by Pierson Guthrey from Lawrence Livermore National Laboratory at the fifth annual MFEM community workshop.