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08/31/2023
Robust Variational Physics-Informed Neural Networks
We introduce a Robust version of the Variational Physics-Informed Neural...
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06/15/2023
A study of concurrent multi-frontal solvers for modern massively parallel architectures
Leveraging Trace Theory, we investigate the efficient parallelization of...
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04/02/2023
Minimum-residual a posteriori error estimates for a hybridizable discontinuous Galerkin discretization of the Helmholtz equation
We propose a reliable and efficient a posteriori error estimator for a h...
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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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10/01/2022
An adaptive superconvergent finite element method based on local residual minimization
We introduce an adaptive superconvergent finite element method for a cla...
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09/13/2022
Quasi-optimal hp-finite element refinements towards singularities via deep neural network prediction
We show how to construct the deep neural network (DNN) expert to predict...
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07/01/2022
A study of efficient concurrent integration methods of B-Spline basis functions in IGA-FEM
Based on trace theory, we study efficient methods for concurrent integra...
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01/08/2021
Projection in negative norms and the regularization of rough linear functionals
In order to construct regularizations of continuous linear functionals a...
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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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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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07/29/2019
