6 citations · 9 across the 7 of their papers we have counts for
7 papers
A Generalized Weak Galerkin method for Oseen equation
Wenya Qi, Padmanabhan Seshaiyer, Junping Wang
In this work, the authors introduce a generalized weak Galerkin (gWG) finite element method for the time-dependent Oseen equation. The generalized weak Galerkin method is based on…
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…
The Dirichlet Problem for Orlicz-Sobolev mappings between metric space
Wen-Juan Qi
In this paper, we solve the Dirichlet problem for Orlicz-Sobolev maps between singular metric spaces that extends the corresponding result of Guo et al. [arXiv 2021]. As an interme…
Finite element method with the total stress variable for Biot's consolidation model
Wenya Qi, Padmanabhan Seshaiyer, Junping Wang
In this work, semi-discrete and fully-discrete error estimates are derived for the Biot's consolidation model described using a three-field finite element formulation. The fields i…
A sharp error estimate of piecewise polynomial collocation for nonlocal problems with weakly singular kernels
Minghua Chen, Wenya Qi, Jiankang Shi +1
As is well known, using piecewise linear polynomial collocation (PLC) and piecewise quadratic polynomial collocation (PQC), respectively, to approximate the weakly singular integra…
A Weak Galerkin Method with Implicit -schemes for Second-Order Parabolic Problems
Wenya Qi
We introduce a new weak Galerkin finite element method whose weak functions on interior neighboring edges are double-valued for parabolic problems. Based on $(P_k(T), P_{k}(e), RT_…
Uniform convergence of multigrid finite element method for time-dependent Riesz tempered fractional problem
Minghua Chen, Weiping Bu, Wenya Qi +1
In this article a theoretical framework for the Galerkin finite element approximation to the time-dependent Riesz tempered fractional problem is provided without the fractional reg…