"underlying solution" is correct and usable in written English.
It is used to refer to a solution that lies unseen beneath the surface of a problem. For example, "The underlying solution to the debt crisis is to reduce spending and increase revenue."
Such simulations do not have a stable underlying solution, to which they may converge with sufficient grid refinement.
The refinement is based on an estimate of the local Sobolev regularity index of the underlying solution by monitoring the decay rate of its Legendre expansion coefficients.
The mass conservation is achieved by enforcing a Lagrange multiplier which has both temporal and spatial dependence on the underlying solution of the phase-field equation.
When coupled to a physical problem, the mesh map evolves with the underlying solution and maintains high adaptivity as the solution develops complicated structures and even singular behavior.
The standard implementation of the Maximum Entropy Method (MEM) follows Bryan [1] and deploys a Singular Value Decomposition (SVD) to limit the dimensionality of the underlying solution space apriori.
In the settings of interest, the underlying solution is sparse with a few nonzeros.
Thus it targets the application domain and structure rather than the underlying technical storage format, and the AQL queries should be unaffected by differences and changes in underlying solutions that may vary depending on preferences and use case (like the single and multi use cases described above).
The change in pit size is explained in terms of incomplete dewetting of a PMMA solution from an underlying PS solution.
Miscible injection, in which the injected gas is dissolved in the oil inside the reservoir and the underlying oil/gas solution starts flowing towards the production well as a result of a decrease in the viscosity of oil.
Usually gas-based EOR has two types of injections: Miscible injection, in which the injected gas is dissolved in the oil inside the reservoir and the underlying oil/gas solution starts flowing towards the production well as a result of a decrease in the viscosity of oil.
The researchers discovered that the students became deeply involved in the problem, collaborated, and came to understand the science underlying the solution.
