We introduce a new numerical method for solving time-harmonic Maxwell's
...
This paper introduces an extension of the Morley element for approximati...
This article proposes and analyzes the generalized weak Galerkin (gWG)
f...
Nonlinear dynamics is a pervasive phenomenon observed in various scienti...
This paper proposes the Nerual Energy Descent (NED) via neural network
e...
The generalized weak Galerkin (gWG) finite element method is proposed an...
Deep neural networks (DNNs) have seen tremendous success in many fields ...
A new L^p-primal-dual weak Galerkin method (L^p-PDWG) with p>1 is
propos...
A new weak Galerkin method based on the weak tangential derivative and w...
A mathematical analysis is established for the weak Galerkin finite elem...
This article introduces a weak Galerkin (WG) finite element method for
q...
This paper presents a new L^p-primal-dual weak Galerkin (PDWG) finite
el...
A parallelizable iterative procedure based on domain decomposition is
pr...
The deep-learning-based least squares method has shown successful result...
This article introduces a weak Galerkin (WG) finite element method for l...
In this article, the authors present a new L^p- primal-dual weak Galerki...
This paper introduces a deep learning method for solving an elliptic
hem...
In this paper, we propose the reproducing activation function to improve...
This paper presents a numerical method for div-curl systems with normal
...
This paper proposes Friedrichs learning as a novel deep learning methodo...
A new primal-dual weak Galerkin (PDWG) finite element method is introduc...
A modified primal-dual weak Galerkin (M-PDWG) finite element method is
d...
This article introduces a new primal-dual weak Galerkin (PDWG) finite el...
Deep learning is a powerful tool for solving nonlinear differential
equa...
A simplified primal-dual weak Galerkin (S-PDWG) finite element method is...
Two de Rham complex sequences of the finite element spaces are introduce...
This article devises a new primal-dual weak Galerkin finite element meth...
A new primal-dual weak Galerkin (PD-WG) finite element method was develo...
A new primal-dual weak Galerkin (PD-WG) finite element method was develo...
This article devises a new numerical method for first-order transport
pr...
This article devises a new numerical method for first-order transport
pr...