Titlebook: Meshfree Methods for Partial Differential Equations VIII; Michael Griebel,Marc Alexander Schweitzer Conference proceedings 2017 Springer I

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Meshless Multi-Point Flux Approximation,inuous permeability tensor in the discretization is a major challenge. Several methods have already been developed and implemented within industry standard reservoir simulators for non-orthogonal grids (e.g., Multi-Point Flux Approximation (MPFA) “O” method). However, it has been noticed that some o

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Error Analysis of Nodal Meshless Methods, matrices that approximate derivatives of functions from values at scattered nodes .. If .. is the true solution in some Sobolev space . allowing enough smoothness for the problem in question, and if the calculated approximate values at the nodes are denoted by ., the canonical form of error bounds

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Generalizations of Simple Kriging Methods in Spatial Data Analysis,that the new kriging estimations are modeled by the Gaussian fields indexed by bounded linear functionals defined on Sobolev spaces. Moreover, the covariances of the Gaussian fields at the observed functionals can be computed by the given covariance kernels with respect to the related functionals, f

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Embedding Enriched Partition of Unity Approximations in Finite Element Simulations,on. To this end, we employ a global partition of unity method to splice the two independent approximation spaces together. The main goal of this research is to enable the timely evaluation of novel discretization approaches and meshfree techniques in an industrial context by embedding them into larg

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Building a Numerical Framework to Model Gas-Liquid-Solid Interactions Using Meshfree Interpolation s developed to simultaneously accommodate the moving gas-liquid interfaces and deforming solid. The connectivity-free front tracking method (CFFT) is adopted to track the gas-liquid interface, where an approximation-correction step is used to construct an indicator field without requiring the connec

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Meshfree Methods for Partial Differential Equations VIII