16 citations · 29 across the 4 of their papers we have counts for
4 papers
Comparative study of finite element methods using the Time-Accuracy-Size (TAS) spectrum analysis
Justin Chang, Maurice S. Fabien, Matthew G. Knepley +1
We present a performance analysis appropriate for comparing algorithms using different numerical discretizations. By taking into account the total time-to-solution, numerical accur…
A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity
N. K. Mapakshi, J. Chang, K. B. Nakshatrala
Mathematical models for flow through porous media typically enjoy the so-called maximum principles, which place bounds on the pressure field. It is highly desirable to preserve the…
Large-scale Optimization-based Non-negative Computational Framework for Diffusion Equations: Parallel Implementation and Performance Studies
J. Chang, S. Karra, K. B. Nakshatrala
It is well-known that the standard Galerkin formulation, which is often the formulation of choice under the finite element method for solving self-adjoint diffusion equations, does…
Modification to Darcy model for high pressure and high velocity applications and associated mixed finite element formulations
J. Chang, K. B. Nakshatrala
The Darcy model is based on a plethora of assumptions. One of the most important assumptions is that the Darcy model assumes the drag coefficient to be constant. However, there is…