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20082022
most citedA Computational Study of the Weak Galerkin Method for Second-Order Elliptic Equations

138 citations

23 papers

math.NA2022★ 1 cited

Generalized Weak Galerkin Methods For Stokes Equations

W. Qi, P. Seshaiyer, J. Wang

A new weak Galerkin finite element method, called generalized weak Galerkin method ({g}WG), is introduced for Stokes equations in this paper by using a new definition of the weak g…

math.NA2019★ 24 cited

A primal-dual finite element method for first-order transport problems

Chunmei Wang, Junping Wang

This article devises a new numerical method for first-order transport problems by using the primal-dual weak Galerkin (PD-WG) finite element method recently developed in scientific…

q-bio.QM2019★ 20 cited

Persistent homology analysis of osmolyte molecular aggregation and their hydrogen-bonding networks

Kelin Xia, D Vijay Anand, Shikhar Saxena +1

Two types of osmolytes, i.e., trimethylamin N-oxide (TMAO) and urea, demonstrate dramatically different properties in a protein folding process. Even with the great progresses in r…

math.NA2018

A discrete maximum principle for the weak Galerkin finite element method on nonuniform rectangular partitions

Yujie Liu, Junping Wang

This article establishes a discrete maximum principle (DMP) for the approximate solution of convection-diffusion-reaction problems obtained from the weak Galerkin finite element me…

cs.IT2018★ 1 cited

New extension constructions of optimal frequency hopping sequence sets

Xianhua Niu, Chaoping Xing

In this paper, a general framework of constructing optimal frequency hopping sequence (FHS) sets is presented based on the designated direct product. Under the framework, we obtain…

math.NA2018★ 5 cited

Primal-Dual Weak Galerkin Finite Element Methods for Elliptic Cauchy Problems

Chunmei Wang, Junping Wang

The authors propose and analyze a well-posed numerical scheme for a type of ill-posed elliptic Cauchy problem by using a constrained minimization approach combined with the weak Ga…