This paper is the second of three related articles that develop and demonstrate a new optimization-based framework for computational modeling. The framework uses optimization and control ideas to assemble and decompose multiphysics operators and to preserve their fundamental physical properties in the discretization process. One application of the framework is in the formulation of robust algor...

This paper is devoted to the redesign of the Lagrangian remapping process for compressible Hydrodynamics in order to achieve better computational performance. As an unintended outcome, the analysis has lead us to the discovery of a new family of solvers – the so-called Lagrange-flux schemes – that appear to be very promising for the CFD community. Results obtained with the Lagrange-flux approac...

For bulk synchronous computations that have nondeterministic behaviors, dynamic remapping is an effective approach to ensure parallel efficiency. There are two basic issues in remapping: when and how to remap. This paper presents a formal treatment of the first issue for dynamic computations with a priori known statistical behaviors. We have formulated the problem as two complement sequential s...

Seismic interpreters use color palettes to display amplitude and structure (ratio data). In many seismic interpretation or visualization software packages, the default color palettes available for those tasks are the divergent red-white-blue for amplitude and the rainbow or spectrum for structure. In [1], Welland et al. argue that the red-white-blue color palette is not linear in perceptual spa...