33 citations · 54 across the 15 of their papers we have counts for
6 papers · 1 filter
Treatment of Incompatible Initial and Boundary Data for Parabolic Equations in Higher Dimension
Qingshan Chen, Zhen Qin, Roger Temam
A new method is proposed to improve the numeri- cal simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to s…
Numerical Approximation of the Inviscid 3D Primitive Equations in a Limited Domain
Qingshan Chen, Ming-Cheng Shiue, Roger Temam +1
A new set of nonlocal boundary conditions are proposed for the higher modes of the 3D inviscid primitive equations. Numerical schemes using the splitting-up method are proposed for…
Numerical Resolution near t = 0 of Nonlinear Evolution Equations in the Presence of Corner Singularities in Space Dimension 1
Qingshan Chen, Zhen Qin, Roger Temam
The incompatibilities between the initial and boundary data will cause singularities at the time-space corners, which in turn adversely affect the accuracy of the numerical schemes…
Goal-oriented A Posteriori Error Estimation for Finite Volume Methods
Qingshan Chen, Max Gunzburger
A general framework for goal-oriented a posteriori error estimation for finite volume methods is presented. The framework does not rely on recasting finite volume methods as specia…
Partial and spectral-viscosity models for geophysical flows
Qingshan Chen, Max Gunzburger, Xiaoming Wang
Two models based on the hydrostatic primitive equa- tions are proposed. The first model is the primitive equations with partial viscosity only, and is oriented towards large-scale…
A scale-invariant formulation of the anticipated potential vorticity method
Qingshan Chen, Max Gunzburger, Todd Ringler
The long-term success of climate models that operate on multi-resolution grids will depend on access to subgrid parameterizations that act appropriately across a wide range of spat…