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07/11/2023
Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs
In this paper, we provide a theoretical analysis of the recently introdu...
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05/18/2023
NODE-ImgNet: a PDE-informed effective and robust model for image denoising
Inspired by the traditional partial differential equation (PDE) approach...
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10/15/2021
Towards fast weak adversarial training to solve high dimensional parabolic partial differential equations using XNODE-WAN
Due to the curse of dimensionality, solving high dimensional parabolic p...
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06/04/2021
Flux recovery for Cut finite element method and its application in a posteriori error estimation
In this article, we aim to recover locally conservative and H(div) confo...
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08/21/2020
Comparison of Shape Derivatives using CutFEM for Ill-posed Bernoulli Free Boundary Problem
In this paper we discuss a level set approach for the identification of ...
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08/18/2020
An a posteriori error estimate of the outer normal derivative using dual weights
We derive a residual based a-posteriori error estimate for the outer nor...
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05/11/2020
A Mesh-free Method Using Piecewise Deep Neural Network for Elliptic Interface Problems
In this paper, we propose a novel mesh-free numerical method for solving...
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01/24/2020
Generalized Prager-Synge Inequality and Equilibrated Error Estimators for Discontinuous Elements
The well-known Prager-Synge identity is valid in H^1(Ω) and serves as a ...
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10/17/2019