5 papers · 1 filter
Optimal block preconditioners for a mass-conserving mixed stress formulation of Stokes flow
Kaibo Hu, Jongho Park, Jindong Wang
We present optimal block diagonal and triangular preconditioners for a mass-conserving mixed stress formulation of Stokes flow. The algebraic formulation leads to a double saddle p…
Parallel multilevel methods for solving the Darcy--Forchheimer model based on a nearly semicoercive formulation
Jongho Park, S. Majid Hassanizadeh
High-velocity fluid flow through porous media is modeled by prescribing a nonlinear relationship between the flow rate and the pressure gradient, called the Darcy--Forchheimer equa…
Additive Schwarz methods for fourth-order variational inequalities
Jongho Park
Fourth-order variational inequalities are encountered in various scientific and engineering disciplines, including elliptic optimal control problems and plate obstacle problems. In…
On the linear convergence of additive Schwarz methods for the -Laplacian
Young-Ju Lee, Jongho Park
We consider additive Schwarz methods for boundary value problems involving the -Laplacian. While existing theoretical estimates suggest a sublinear convergence rate for these me…
Two-level overlapping Schwarz preconditioners with universal coarse spaces for th-order elliptic problems
Jongho Park
We propose a novel universal construction of two-level overlapping Schwarz preconditioners for th-order elliptic boundary value problems, where is a positive integer. The w…