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05/21/2023
A variational multiscale method derived from an adaptive stabilized conforming finite element method via residual minimization on dual norms
This paper interprets the stabilized finite element method via residual ...
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03/31/2023
Adaptive stabilized finite elements via residual minimization onto bubble enrichments
The Adaptive Stabilized Finite Element method (AS-FEM) developed in Calo...
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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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12/28/2021
Performance of Refined Isogeometric Analysis in Solving Quadratic Eigenvalue Problems
Certain applications that analyze damping effects require the solution o...
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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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06/15/2021
Efficient multi-level hp-finite elements in arbitrary dimensions
We present an efficient algorithmic framework for constructing multi-lev...
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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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11/23/2020
An automatic-adaptivity stabilized finite element method via residual minimization for heterogeneous, anisotropic advection-diffusion-reaction problems
In this paper, we describe a stable finite element formulation for advec...
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11/18/2020
Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization
We model incompressible flows with an adaptive stabilized finite element...
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09/17/2020
Refined isogeometric analysis for generalized Hermitian eigenproblems
We use the refined isogeometric analysis (rIGA) to solve generalized Her...
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09/13/2020
A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: Second-order, energy-stable numerical methods on adaptive octree based meshes
We present a fully-coupled, implicit-in-time framework for solving a the...
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08/04/2020
Adaptive stabilized finite elements: Continuation analysis of compaction banding in geomaterials
Under compressive creep, visco-plastic solids experiencing internal mass...
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08/04/2020
A nonlinear weak constraint enforcement method for advection-dominated diffusion problems
We devise a stabilized method to weakly enforce bound constraints in the...
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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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11/11/2019
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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07/29/2019
An adaptive stabilized finite element method based on residual minimization
We devise and analyze a new adaptive stabilized finite element method. W...
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06/16/2019
Isogeometric Residual Minimization Method (iGRM) with Direction Splitting Preconditoner for Stationary Advection-Diffusion Problems
In this paper, we propose the Isogeometric Residual Minimization (iGRM) ...
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06/14/2019