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Efficient mesh deformation based on radial basis function interpolation by means of the inverse fast multipole method

https://doi.org/10.1016/j.cma.2016.05.029
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Mesh deformation using the biharmonic operator
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Hierarchical Matrices Based on a Weak Admissibility Criterion
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A Sparse Matrix Arithmetic Based on $\Cal H$ -Matrices. Part I: Introduction to ${\Cal H}$ -Matrices
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An O(N) algorithm for constructing the solution operator to 2D elliptic boundary value problems in the absence of body loads
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Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces
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An O(N) direct solver for integral equations on the plane
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Numerical experiments on the condition number of the interpolation matrices for radial basis functions
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Constrained space deformation techniques for design optimization
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The ball-vertex method: a new simple spring analogy method for unstructured dynamic meshes
inferredcites →https://doi.org/10.1016/j.cma.2006.03.017openalex-snapshot
Review of coupling methods for non-matching meshes
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The ortho-semi-torsional (OST) spring analogy method for 3D mesh moving boundary problems
inferredcites →https://doi.org/10.1016/j.compfluid.2006.11.002openalex-snapshot
Mesh deformation using radial basis functions for gradient-based aerodynamic shape optimization
inferredcites →https://doi.org/10.1016/j.compfluid.2012.06.015openalex-snapshot
A parallel radial basis function interpolation method for unstructured dynamic meshes
inferredcites →https://doi.org/10.1016/j.compfluid.2013.02.004openalex-snapshot
Radial basis function based mesh deformation applied to simulation of flow around flapping wings
inferredcites →https://doi.org/10.1016/j.compfluid.2014.01.007openalex-snapshot
Sails trim optimisation using CFD and RBF mesh morphing
inferredcites →https://doi.org/10.1016/j.compstruc.2007.01.013openalex-snapshot
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inferredcites →https://doi.org/10.1016/j.finel.2005.01.003openalex-snapshot
A semi-torsional spring analogy model for updating unstructured meshes in 3D moving domains
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A kernel-independent adaptive fast multipole algorithm in two and three dimensions
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inferredcites →https://doi.org/10.1016/j.jcp.2009.05.013openalex-snapshot
Efficient mesh motion using radial basis functions with data reduction algorithms
inferredcites →https://doi.org/10.1016/j.jcp.2009.08.031openalex-snapshot
The black-box fast multipole method
inferredcites →https://doi.org/10.1016/j.jcp.2011.09.021openalex-snapshot
A fast mesh deformation method using explicit interpolation
inferredcites →https://doi.org/10.1016/j.jcp.2014.03.067openalex-snapshot
A 3D moving mesh Finite Element Method for two-phase flows
inferredcites →https://doi.org/10.1016/j.jcp.2015.03.046openalex-snapshot
Delaunay graph and radial basis function for fast quality mesh deformation
inferredcites →https://doi.org/10.1016/j.jcp.2015.10.012openalex-snapshot
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inferredcites →https://doi.org/10.1016/s0045-7825(98)00016-4openalex-snapshot
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inferredcites →https://doi.org/10.1016/s0955-7997(02)00152-2openalex-snapshot
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inferredcites →https://doi.org/10.1016/s1270-9638(00)01087-7openalex-snapshot
Multivariate interpolation for fluid-structure-interaction problems using radial basis functions
inferredcites →https://doi.org/10.1023/a:1004795120236openalex-snapshot
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inferredcites →https://doi.org/10.1137/060662083openalex-snapshot
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inferredcites →https://doi.org/10.1137/120866683openalex-snapshot
A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization
inferredcites →https://doi.org/10.1137/140962681openalex-snapshot
Optimizing the Adaptive Fast Multipole Method for Fractal Sets
inferredcites →https://doi.org/10.1137/15m1034477openalex-snapshot
The Inverse Fast Multipole Method: Using a Fast Approximate Direct Solver as a Preconditioner for Dense Linear Systems
inferredcites →https://doi.org/10.1137/s0895479803436652openalex-snapshot
A Fast $ULV$ Decomposition Solver for Hierarchically Semiseparable Representations
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inferredcites →https://doi.org/10.2514/1.c031293openalex-snapshot
Aeroelastic Analysis of Aircraft Wind-Tunnel Model Coupling Structural and Fluid Dynamic Codes
inferredcites →https://doi.org/10.2514/1.j053304openalex-snapshot
Improved Point Selection Method for Hybrid-Unstructured Mesh Deformation Using Radial Basis Functions
inferredcites →https://doi.org/10.2514/3.25229openalex-snapshot
Unsteady Euler airfoil solutions using unstructured dynamic meshes
inferredcites →https://doi.org/10.2514/6.2001-716openalex-snapshot
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inferredcites →https://doi.org/10.2514/6.2004-614openalex-snapshot
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inferredcites →https://doi.org/10.2514/6.2005-926openalex-snapshot
Deformation of Unstructured Viscous Grids
inferredcites →https://doi.org/10.2514/6.2010-165openalex-snapshot
Explicit and Robust Inverse Distance Weighting Mesh Deformation for CFD
inferredcites →https://doi.org/10.2514/6.2013-287openalex-snapshot
Stanford University Unstructured (SU2): An open-source integrated computational environment for multi-physics simulation and design
inferredcites →https://doi.org/10.2514/6.2014-0243openalex-snapshot
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inferredcites →https://doi.org/10.4018/978-1-61350-116-0.ch015openalex-snapshot
Mesh Morphing and Smoothing by Means of Radial Basis Functions (RBF)
inferredcites →https://doi.org/10.48550/arxiv.1407.1572openalex-snapshot
The Inverse Fast Multipole Method

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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The Rbf-Based Parametric Mesh Deformation Method and its Application
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Modular and Interdisciplinary Methods for Aeroelastic Simulations (MIMAS)
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