Search Results - "SHADID, John N"

Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations by Matthias Maier, Matthias Maier, John N. Shadid, John N. Shadid, Ignacio Tomas, Ignacio Tomas

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Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements by Lohmann, Christoph, Kuzmin, Dmitri, Shadid, John N., Mabuza, Sibusiso

“…This work extends the flux-corrected transport (FCT) methodology to arbitrary order continuous finite element discretizations of scalar conservation laws on…”
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Local bounds preserving stabilization for continuous Galerkin discretization of hyperbolic systems by Mabuza, Sibusiso, Shadid, John N., Kuzmin, Dmitri

“…The objective of this paper is to present a local bounds preserving stabilized finite element scheme for hyperbolic systems on unstructured meshes based on…”
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A multilevel approach for trace system in HDG discretizations by Muralikrishnan, Sriramkrishnan, Bui-Thanh, Tan, Shadid, John N.

“…We propose a multilevel approach for trace systems resulting from hybridized discontinuous Galerkin (HDG) methods. The key is to blend ideas from nested…”
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Matrix-free subcell residual distribution for Bernstein finite elements: Monolithic limiting by Hajduk, Hennes, Kuzmin, Dmitri, Kolev, Tzanio, Tomov, Vladimir, Tomas, Ignacio, Shadid, John N.

“…•Matrix-free methods for transport and remap problems based on residual distribution.•High-order Bernstein finite element discretizations.•Theoretical…”
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On differentiable local bounds preserving stabilization for Euler equations by Badia, Santiago, Bonilla, Jesús, Mabuza, Sibusiso, Shadid, John N.

“…This work presents the design of nonlinear stabilization techniques for the finite element discretization of Euler equations in both steady and transient form…”
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Gradient‐based nodal limiters for artificial diffusion operators in finite element schemes for transport equations by Kuzmin, Dmitri, Shadid, John N.

“…Summary This paper presents new linearity‐preserving nodal limiters for enforcing discrete maximum principles in continuous (linear or bilinear) finite element…”
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An implicit monolithic AFC stabilization method for the CG finite element discretization of the fully-ionized ideal multifluid electromagnetic plasma system by Crockatt, Michael M., Mabuza, Sibusiso, Shadid, John N., Conde, Sidafa, Smith, Thomas M., Pawlowski, Roger P.

“…This study considers an implicit finite element formulation for an ideal fully-ionized multifluid electromagnetic plasma system. The formulation is based on…”
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Implicit and Implicit–Explicit Strong Stability Preserving Runge–Kutta Methods with High Linear Order by Conde, Sidafa, Gottlieb, Sigal, Grant, Zachary J., Shadid, John N.

“…Strong stability preserving (SSP) time discretizations preserve the monotonicity properties satisfied by the spatial discretization when coupled with the first…”
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Optimal control for reinitialization in finite element level set methods by Basting, Christopher, Kuzmin, Dmitri, Shadid, John N.

“…Summary A new optimal control problem that incorporates the residual of the Eikonal equation into its objective is presented. The formulation of the state…”
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An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD by Tang, Qi, Chacón, Luis, Kolev, Tzanio V., Shadid, John N., Tang, Xian-Zhu

“…The magnetohydrodynamics (MHD) equations are continuum models used in the study of a wide range of plasma physics systems, including the evolution of complex…”
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A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations by Mabuza, Sibusiso, Shadid, John N., Cyr, Eric C., Pawlowski, Roger P., Kuzmin, Dmitri

“…•A new continuous finite element method for inviscid ideal MHD systems is presented.•Algebraic flux correction based on monolithic nodal variation…”
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On the performance of Krylov smoothing for fully coupled AMG preconditioners for VMS resistive MHD by Lin, Paul T., Shadid, John N., Tsuji, Paul H.

“…Summary This study explores the performance and scaling of a GMRES Krylov method employed as a smoother for an algebraic multigrid preconditioned Newton‐Krylov…”
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A posteriori error analysis of IMEX multi-step time integration methods for advection–diffusion–reaction equations by Chaudhry, Jehanzeb H., Estep, Donald, Ginting, Victor, Shadid, John N., Tavener, Simon

“…Implicit–Explicit (IMEX) schemes are an important and widely used class of time integration methods for both parabolic and hyperbolic partial differential…”
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Failsafe flux limiting and constrained data projections for equations of gas dynamics by Kuzmin, Dmitri, Möller, Matthias, Shadid, John N., Shashkov, Mikhail

“…A new approach to flux limiting for systems of conservation laws is presented. The Galerkin finite element discretization/ L 2 projection is equipped with a…”
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Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data by Gunzburger, Max D., Peterson, Janet S., Shadid, John N.

“…The computational approximation of solutions to nonlinear partial differential equations (PDEs) such as the Navier–Stokes equations is often a formidable task…”
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Stability of operator splitting methods for systems with indefinite operators: Advection–diffusion–reaction systems by Ropp, David L., Shadid, John N.

“…This brief paper presents an A-stability result for operator splitting type time integration methods applied to advection–diffusion–reaction equations with…”
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Stabilization and scalable block preconditioning for the Navier–Stokes equations by Cyr, Eric C., Shadid, John N., Tuminaro, Raymond S.

“…This study compares several block-oriented preconditioners for the stabilized finite element discretization of the incompressible Navier–Stokes equations. This…”
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Dimension reduction in magnetohydrodynamics power generation models: Dimensional analysis and active subspaces by Glaws, Andrew, Constantine, Paul G., Shadid, John N., Wildey, Timothy M.

“…Magnetohydrodynamics (MHD)—the study of electrically conducting fluids—can be harnessed to produce efficient, low‐emissions power generation. Today,…”
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Towards large-scale multi-socket, multicore parallel simulations: Performance of an MPI-only semiconductor device simulator by Lin, Paul T., Shadid, John N.

“…This preliminary study considers the scaling and performance of a finite element (FE) semiconductor device simulator on a set of multi-socket, multicore…”
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