activity
20162026
most citedA Multilevel Approach for Trace System in HDG Discretizations

22 citations · 54 across the 15 of their papers we have counts for

collaborators

15 papers

cs.CE2026

On Distributed Parallelization Strategies for Particle-in-Fourier Schemes

Sriramkrishnan Muralikrishnan, Paul Fischill, Andreas Adelmann +1

We present and compare distributed parallelization strategies for the particle-in-Fourier (PIF) schemes used in kinetic plasma simulations. The different strategies are i) domain d…

cs.CE2026

A Performance-Portable, Massively Parallel Distributed Nonuniform FFT

Paul Fischill, Andreas Adelmann, Sriramkrishnan Muralikrishnan

The nonuniform fast Fourier transform (NUFFT) enables spectral methods for problems with irregularly spaced samples, with applications in medical imaging, molecular dynamics, and k…

cs.CE2026

A Comparison of Massively Parallel Performance Portable Particle-in-Cell schemes for electrostatic kinetic plasma simulations

Sonali Mayani, Paul Fischill, Sriramkrishnan Muralikrishnan +1

We compare different Poisson solvers within the context of an electrostatic Vlasov-Poisson system. These schemes are implemented as part of the IPPL (Independent Parallel Particle…

math.NA2024

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…

physics.comp-ph2024

A Massively Parallel Performance Portable Free-space Spectral Poisson Solver

Sonali Mayani, Veronica Montanaro, Antoine Cerfon +3

Vico et al. (2016) suggest a fast algorithm for computing volume potentials, beneficial to fields with problems requiring the solution of the free-space Poisson's equation, such as…

math.NA2024

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…

physics.comp-ph2022★ 2 cited

Scaling and performance portability of the particle-in-cell scheme for plasma physics applications through mini-apps targeting exascale architectures

Sriramkrishnan Muralikrishnan, Matthias Frey, Alessandro Vinciguerra +5

We perform a scaling and performance portability study of the particle-in-cell scheme for plasma physics applications through a set of mini-apps we name "Alpine", which can make us…

physics.acc-ph2021★ 17 cited

Order-of-Magnitude Beam Current Improvement in Compact Cyclotrons

Daniel Winklehner, Andreas Adelmann, Janet M. Conrad +4

There is great need for high intensity proton beams from compact particle accelerators in particle physics, medical isotope production, and materials- and energy-research. To addre…

math.NA2020

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…

physics.comp-ph2020★ 1 cited

Sparse Grids based Adaptive Noise Reduction strategy for Particle-In-Cell schemes

Sriramkrishnan Muralikrishnan, Antoine J. Cerfon, Matthias Frey +2

We propose a sparse grids based adaptive noise reduction strategy for electrostatic particle-in-cell (PIC) simulations. Our approach is based on the key idea of relying on sparse g…

math.NA2019★ 22 cited

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…

math.NA2018★ 1 cited

Unified geometric multigrid algorithm for hybridized high-order finite element methods

Tim Wildey, Sriramkrishnan Muralikrishnan, Tan Bui-Thanh

We consider a standard elliptic partial differential equation and propose a geometric multigrid algorithm based on Dirichlet-to-Neumann (DtN) maps for hybridized high-order finite…

math.NA2017★ 10 cited

An Improved Iterative HDG Approach for Partial Differential Equations

Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh

We propose and analyze an iterative high-order hybridized discontinuous Galerkin (iHDG) discretization for linear partial differential equations. We improve our previous work (SIAM…

math.NA2016★ 1 cited

iHDG: An Iterative HDG Framework for Partial Differential Equations

Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh

We present a scalable iterative solver for high-order hybridized discontinuous Galerkin (HDG) discretizations of linear partial differential equations. It is an interplay between d…

math.NA2016

eHDG:An Exponentially Convergent Iterative Solver for HDG Discretizations of Hyperbolic Partial Differential Equations

Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh

We present a scalable and efficient iterative solver for high-order hybridized discontinuous Galerkin (HDG) discretizations of hyperbolic partial differential equations. It is an i…