...) . The mapping of a point x R in the real space to a location in the design space x D can be performed following two steps: Find the tetrahedron e ∈ T R that contains the point. This step can be expedited by using a tree data structure (e.g., axis-aligned bounding box tree) to store...

... introduces decoupling techniques by means of domain decomposition methods. Section 7 briefly discusses mortar mappings. Section 8 includes numerical examples in geomechanics and finally sections 9 throw 11 present concluding remarks, future work and acknowledgments respectively. Mathematical Model We...

... Vector Regression (SVR) methods to successfully model distribution of petrophysical properties in a fluvial environment. SVR models compute linear regression in high dimensional space, the reproducing kernel Hilbert space, using a single kernel for implicit mapping of the data. The single kernel makes...

... is also highlighted. Modeling & Simulation reservoir simulation pillar grid reservoir property construction Upstream Oil & Gas reservoir grid geologic grid grid scaling method stratigraphic unit Flow Simulation Grid parametric space Reservoir Structure stair-step grid mapping...

... streamlines. The sequential Eulerian-Lagrangian procedure is the key to the high computational efficiency of streamline methods. On the other hand, it necessitates mapping of saturations (or fluid compositions) back and forth between the Eulerian pressure grid and the Lagrangian streamlines. Unfortunately...

... and in-situ combustion. oil recovery infinite element heat loss mapping spe 13515 fluid dynamics pressure equation saturation thermal recovery process spe 13515 artificial intelligence flow in porous media approximation finite element method waterflooding assumption reservoir simulation...