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Kernel optimization for Low-Rank Multi-Fidelity Algorithms
One of the major challenges for low-rank multi-fidelity (MF) approaches ...
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Visualization of topology optimization designs with representative subset selection
An important new trend in additive manufacturing is the use of optimizat...
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Deep Multi-Fidelity Active Learning of High-dimensional Outputs
Many applications, such as in physical simulation and engineering design...
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Numerical Testing of a New Positivity-Preserving Interpolation Algorithm
An important component of a number of computational modeling algorithms ...
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Structure-preserving function approximation via convex optimization
Approximations of functions with finite data often do not respect certai...
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A Scalable Framework for Solving Fractional Diffusion Equations
The study of fractional order differential operators is receiving renewe...
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Deep Coregionalization for the Emulation of Spatial-Temporal Fields
Data-driven surrogate models are widely used for applications such as de...
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The Effect of Data Transformations on Scalar Field Topological Analysis of High-Order FEM Solutions
High-order finite element methods (HO-FEM) are gaining popularity in the...
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Nektar++: enhancing the capability and application of high-fidelity spectral/hp element methods
Nektar++ is an open-source framework that provides a flexible, high-perf...
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Allocation strategies for high fidelity models in the multifidelity regime
We propose a novel approach to allocating resources for expensive simula...
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Parametric Topology Optimization with Multi-Resolution Finite Element Models
We present a methodical procedure for topology optimization under uncert...
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RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for Solving PDEs on Surfaces
We present a new method for the solution of PDEs on manifolds M⊂R^d of c...
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Robust Node Generation for Meshfree Discretizations on Irregular Domains and Surfaces
We present a new algorithm for the automatic one-shot generation of scat...
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Numerical Integration in Multiple Dimensions with Designed Quadrature
We present a systematic computational framework for generating positive ...
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Curvilinear Mesh Adaptation using Radial Basis Function Interpolation and Smoothing
We present a new iterative technique based on radial basis function (RBF...
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Exploration of Heterogeneous Data Using Robust Similarity
Heterogeneous data pose serious challenges to data analysis tasks, inclu...
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Rethinking Abstractions for Big Data: Why, Where, How, and What
Big data refers to large and complex data sets that, under existing appr...
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