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Error Analysis and Parallel Scaling Study of A Parareal Parallel-in-Time Integration Algorithm for Particle-in-Fourier Schemes
Sriramkrishnan Muralikrishnan, Robert Speck
We propose a parareal based time parallelization scheme in the phase-space for the particle-in-Fourier (PIF) discretization of the Vlasov-Poisson system used in kinetic plasma simu…
A particle-in-Fourier method with semi-discrete energy conservation for non-periodic boundary conditions
Changxiao Nigel Shen, Antoine Cerfon, Sriramkrishnan Muralikrishnan
We introduce a novel particle-in-Fourier (PIF) scheme that extends its applicability to non-periodic boundary conditions. Our method handles free space boundary conditions by repla…
A Multilevel Block Preconditioner for the HDG Trace System Applied to Incompressible Resistive MHD
Sriramkrishnan Muralikrishnan, Stephen Shannon, Tan Bui-Thanh +1
We present a scalable block preconditioning strategy for the trace system coming from the high-order hybridized discontinuous Galerkin (HDG) discretization of incompressible resist…
A Multilevel Approach for Trace System in HDG Discretizations
Sriramkrishnan Muralikrishnan, Tan Bui-Thanh, John N. Shadid
We propose a multilevel approach for trace systems resulting from hybridized discontinuous Galerkin (HDG) methods. The key is to blend ideas from nested dissection, domain decompos…