#### Filter Results:

- Full text PDF available (62)

#### Publication Year

1989

2018

- This year (1)
- Last 5 years (22)
- Last 10 years (40)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Pavel B. Bochev, Clark R. Dohrmann, Max Gunzburger
- SIAM J. Numerical Analysis
- 2006

We present a new family of stabilized methods for the Stokes problem. The focus of the paper is on the lowest order velocity-pressure pairs. While not LBB compliant, their simplicity and attractiveâ€¦ (More)

- Pavel B. Bochev, Max Gunzburger
- SIAM Review
- 1998

We consider the application of least-squares variational principles to the numerical solution of partial differential equations. Our main focus is on the development of least-squares finite elementâ€¦ (More)

Compatible discretizations transform partial differential equations to discrete algebraic problems that mimic fundamental properties of the continuum equations. We provide a common framework forâ€¦ (More)

- Pavel B. Bochev, Max Gunzburger
- Applied mathematical sciences
- 2009

Least-squares finite element methods are an attractive class of methods for the numerical solution of partial differential equations. They are motivated by the desire to recover, in general settings,â€¦ (More)

A new stabilized finite element method for the Stokes problem is presented. The method is obtained by modification of the mixed variational equation by using local L polynomial pressure projections.â€¦ (More)

Recent studies indicate that consistently stabilized methods for unsteady incompressible flows, obtained by a method of lines approach may experience difficulty when the time step is small relativeâ€¦ (More)

Proliferation of degrees-of-freedom has plagued discontinuous Galerkin methodology from its inception over 30 years ago. This paper develops a new computational formulation that combines theâ€¦ (More)

In this paper we consider the application of least-squares principles to the approximate solution of the Stokes equations cast into a first-order velocity-vorticity-pressure system. Among the mostâ€¦ (More)

- Pavel B. Bochev, Max Gunzburger
- SIAM J. Numerical Analysis
- 2005

Least-squares finite element methods for first-order formulations of the Poisson equation are not subject to the inf-sup condition and lead to stable solutions even when all variables areâ€¦ (More)

We consider finite element methods for the Darcy equations that are designed to work with standard, low order C finite element spaces. Such spaces remain a popular choice in the engineering practiceâ€¦ (More)