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02/21/2023
Physics-informed Spectral Learning: the Discrete Helmholtz–Hodge Decomposition
In this work, we further develop the Physics-informed Spectral Learning ...
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08/04/2022
SoftIGA: soft isogeometric analysis
We extend the softFEM idea to isogeometric analysis (IGA) to reduce the ...
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03/23/2022
A boundary-penalized isogeometric analysis for second-order hyperbolic equations
Explicit time-marching schemes are popular for solving time-dependent pa...
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11/13/2021
An explicit predictor/multicorrector time marching with automatic adaptivity for finite-strain elastodynamics
We propose a time-adaptive predictor/multi-corrector method to solve hyp...
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02/23/2021
Explicit high-order generalized-α methods for isogeometric analysis of structural dynamics
We propose a new family of high-order explicit generalized-α methods for...
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02/11/2021
Higher-order generalized-α methods for parabolic problems
We propose a new class of high-order time-marching schemes with dissipat...
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09/30/2020
Automatic Variationally Stable Analysis for Finite Element Computations: Transient Convection-Diffusion Problems
We establish stable finite element (FE) approximations of convection-dif...
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07/17/2020
Residual minimization for goal-oriented adaptivity
In [12], the authors introduce an adaptive, stabilized finite element me...
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11/19/2019
Fast isogeometric solvers for hyperbolic wave propagation problems
We use the alternating direction method to simulate implicit dynamics. u...
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11/11/2019
Split generalized-α method: A linear-cost solver for a modified generalized-method for multi-dimensional second-order hyperbolic systems
We propose a variational splitting technique for the generalized-α metho...
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06/14/2019