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- Sandia National Laboratories CaliforniaUS256 papers
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- University of New MexicoUS94 papers
- Los Alamos National LaboratoryUS75 papers
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- Oak Ridge National LaboratoryUS45 papers
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- Purdue University West LafayetteUS40 papers
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8 papers · 2 filters
An ultraweak DPG method for viscoelastic fluids
Brendan Keith, Philipp Knechtges, Nathan V. Roberts +3
We explore a vexing benchmark problem for viscoelastic fluid flows with the discontinuous Petrov-Galerkin (DPG) finite element method of Demkowicz and Gopalakrishnan [1,2]. In our…
A high-order staggered meshless method for elliptic problems
Nathaniel Trask, Mauro Perego, Pavel Bochev
We present a new meshless method for scalar diffusion equations which is motivated by their compatible discretizations on primal-dual grids. Unlike the latter though, our approach…
Finite Element Formulation for a Poroelasticity Problem Stemming from Mixture Theory
Francesco Costanzo, Scott T. Miller
A finite element formulation is developed for a poroelastic medium consisting of an incompressible hyperelastic skeleton saturated by an incompressible fluid. The governing equatio…
Dimension reduction in MHD power generation models: dimensional analysis and active subspaces
Andrew Glaws, Paul G. Constantine, John Shadid +1
Magnetohydrodynamics (MHD)---the study of electrically conducting fluids---can be harnessed to produce efficient, low-emissions power generation. Today, computational modeling assi…
A Geometric Multigrid Preconditioning Strategy for DPG System Matrices
Nathan V. Roberts, Jesse Chan
The discontinuous Petrov-Galerkin (DPG) methodology of Demkowicz and Gopalakrishnan [15,17] guarantees the optimality of the solution in an energy norm, and provides several featur…
An algebraic multigrid method for mixed discretizations of the Navier-Stokes equations
Andrey Prokopenko, Raymond S. Tuminaro
Algebraic multigrid (AMG) preconditioners are considered for discretized systems of partial differential equations (PDEs) where unknowns associated with different physical quantiti…