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1

Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

Bochev, Pavel B., Dohrmann, Clark R., Gunzburger, Max D.

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 319 KB

english, 2006

2

A new Control Volume Finite Element Method for the stable and accurate solution of the drift–diffusion equations on general unstructured grids

Bochev, Pavel, Peterson, Kara, Gao, Xujiao

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2013

Language:

english

File:

PDF, 2.82 MB

english, 2013

3

Finite Element Methods of Least-Squares Type

Pavel B. Bochev and Max D. Gunzburger

Journal:

Year:

1998

Language:

english

File:

PDF, 3.75 MB

english, 1998

4

[The IMA Volumes in Mathematics and its Applications] Compatible Spatial Discretizations Volume 142 || Principles of Mimetic Discretizations of Differential Operators

Arnold, Douglas N., Bochev, Pavel B., Lehoucq, Richard B., Nicolaides, Roy A., Shashkov, Mikhail

Year:

2006

Language:

english

File:

PDF, 1.62 MB

english, 2006

5

A stabilized finite element method for the Stokes problem based on polynomial pressure projections

Clark R. Dohrmann, Pavel B. Bochev

Journal:

International Journal for Numerical Methods in Fluids

Year:

2004

Language:

english

File:

PDF, 589 KB

english, 2004

6

Accuracy of least-squares methods for the Navier-Stokes equations

Pavel B. Bochev, Max D. Gunzburger

Journal:

Computers & Fluids

Year:

1993

Language:

english

File:

PDF, 910 KB

english, 1993

7

Stability of the SUPG finite element method for transient advection–diffusion problems

Pavel B. Bochev, Max D. Gunzburger, John N. Shadid

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 640 KB

english, 2004

8

Constrained interpolation (remap) of divergence-free fields

Pavel Bochev, Mikhail Shashkov

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2005

Language:

english

File:

PDF, 735 KB

english, 2005

9

A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method

Thomas J.R. Hughes, Guglielmo Scovazzi, Pavel B. Bochev, Annalisa Buffa

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2006

Language:

english

File:

PDF, 1.07 MB

english, 2006

10

Physics-compatible numerical methods

Koren, Barry, Abgrall, Rémi, Bochev, Pavel, Frank, Jason, Perot, Blair

Journal:

Journal of Computational Physics

Year:

2014

Language:

english

File:

PDF, 109 KB

english, 2014

11

On the Finite Element Solution of the Pure Neumann Problem

Bochev, Pavel, Lehoucq, R. B.

Journal:

Year:

2005

Language:

english

File:

PDF, 581 KB

english, 2005

12

Minimum Residual and Least Squares Finite Element Methods

Bochev, Pavel, Demkowicz, Leszek, Gopalakrishnan, Jay, Gunzburger, Max

Journal:

Computers & Mathematics with Applications

Year:

2014

Language:

english

File:

PDF, 261 KB

english, 2014

13

A Comparative Study of Least-squares, SUPG and Galerkin Methods for Convection Problems

BOCHEV, PAVEL B., CHOI, JUNGMIN

Journal:

International Journal of Computational Fluid Dynamics

Year:

2001

Language:

english

File:

PDF, 734 KB

english, 2001

14

[Applied Mathematical Sciences] Least-Squares Finite Element Methods Volume 166 || The Agmon–Douglis–Nirenberg Theory and Verifying its Assumptions

Gunzburger, Max D., Bochev, Pavel B.

Year:

2009

Language:

english

File:

PDF, 317 KB

english, 2009

15

A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions

D’Elia, Marta, Perego, Mauro, Bochev, Pavel, Littlewood, David

Journal:

Computers & Mathematics with Applications

Year:

2015

Language:

english

File:

PDF, 987 KB

english, 2015

16

Mitigation of the self-force effect in unstructured PIC codes using generalized moving least squares

Trask, Nathaniel, Bochev, Pavel, Perego, Mauro

Journal:

Computers & Mathematics with Applications

Year:

2018

Language:

english

File:

PDF, 2.59 MB

english, 2018

17

Analysis and computation of adaptive moving grids by deformation

Pavel Bochev, Guojun Liao, Gary dela Pena

Journal:

Numerical Methods for Partial Differential Equations

Year:

1996

Language:

english

File:

PDF, 1.30 MB

english, 1996

18

Negative norm least-squares methods for the velocity-vorticity-pressure Navier–Stokes equations

Pavel B. Bochev

Journal:

Numerical Methods for Partial Differential Equations

Year:

1999

Language:

english

File:

PDF, 378 KB

english, 1999

19

On stabilized finite element methods for the Stokes problem in the small time step limit

Pavel B. Bochev, Max D. Gunzburger, Richard B. Lehoucq

Journal:

International Journal for Numerical Methods in Fluids

Year:

2007

Language:

english

File:

PDF, 450 KB

english, 2007

20

A locally conservative, discontinuous least-squares finite element method for the Stokes equations

Pavel Bochev, James Lai, Luke Olson

Journal:

International Journal for Numerical Methods in Fluids

Year:

2012

Language:

english

File:

PDF, 484 KB

english, 2012

21

Analysis and computation of least-squares methods for a compressible Stokes problem

Pavel Bochev, Sang Dong Kim, Byeong-Chun Shin

Journal:

Numerical Methods for Partial Differential Equations

Year:

2006

Language:

english

File:

PDF, 173 KB

english, 2006

22

Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations

Pavel B. Bochev, Max D. Gunzburger

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1995

Language:

english

File:

PDF, 1.61 MB

english, 1995

23

A least-squares finite element method for the Navier-Stokes equations

Pavel B. Bochev, Max D. Gunzburger

Journal:

Applied Mathematics Letters

Year:

1993

Language:

english

File:

PDF, 294 KB

english, 1993

24

Analysis and computation of a least-squares method for consistent mesh tying

David Day, Pavel Bochev

Journal:

Journal of Computational and Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 300 KB

english, 2008

25

On inf–sup stabilized finite element methods for transient problems

Pavel B. Bochev, Max D. Gunzburger, John N. Shadid

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 551 KB

english, 2004

26

Least-squares methods for optimal control

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 526 KB

english, 1997

27

A self-validating numerical method for the matrix exponential

Pavel Bochev, Svetoslav Markov

Journal:

Year:

1989

Language:

english

File:

PDF, 730 KB

english, 1989

28

A Computational Study of Stabilized, Low-orderC0Finite Element Approximations of Darcy Equations

Pavel B. Bochev, Clark R. Dohrmann

Journal:

Computational Mechanics

Year:

2006

Language:

english

File:

PDF, 360 KB

english, 2006

29

Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian–Eulerian methods

Pavel Bochev, Denis Ridzal, Guglielmo Scovazzi, Mikhail Shashkov

Journal:

Journal of Computational Physics

Year:

2011

Language:

english

File:

PDF, 1.58 MB

english, 2011

30

Least-Squares Finite Element Methods for Optimality Systems Arising in Optimization and Control Problems

Bochev, Pavel, Gunzburger, Max D.

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 281 KB

english, 2006

31

Rehabilitation of the Lowest-Order Raviart–Thomas Element on Quadrilateral Grids

Bochev, Pavel B., Ridzal, Denis

Journal:

SIAM Journal on Numerical Analysis

Year:

2009

Language:

english

File:

PDF, 290 KB

english, 2009

32

Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations

Bochev, Pavel B., Peterson, Kara, Siefert, Christopher M.

Journal:

SIAM Journal on Numerical Analysis

Year:

2011

Language:

english

File:

PDF, 608 KB

english, 2011

33

An Optimization-Based Approach for the Design of PDE Solution Algorithms

Bochev, Pavel B., Ridzal, Denis

Journal:

SIAM Journal on Numerical Analysis

Year:

2009

Language:

english

File:

PDF, 334 KB

english, 2009

34

Analysis of Least-Squares Finite Element Methods for the Navier--Stokes Equations

Bochev, Pavel B.

Journal:

SIAM Journal on Numerical Analysis

Year:

1997

Language:

english

File:

PDF, 665 KB

english, 1997

35

Analysis of Velocity-Flux Least-Squares Principles for the Navier--Stokes Equations: Part II

Bochev, Pavel, Manteuffel, Thomas A., McCormick, Stephen F.

Journal:

SIAM Journal on Numerical Analysis

Year:

1999

Language:

english

File:

PDF, 418 KB

english, 1999

36

An Absolutely Stable Pressure-Poisson Stabilized Finite Element Method for the Stokes Equations

Bochev, Pavel, Gunzburger, Max

Journal:

SIAM Journal on Numerical Analysis

Year:

2004

Language:

english

File:

PDF, 211 KB

english, 2004

37

An Improved Algebraic Multigrid Method for Solving Maxwell's Equations

Bochev, Pavel B., Garasi, Christopher J., Hu, Jonathan J., Robinson, Allen C., Tuminaro, Raymond S.

Journal:

SIAM Journal on Scientific Computing

Year:

2003

Language:

english

File:

PDF, 339 KB

english, 2003

38

Toward an h-Independent Algebraic Multigrid Method for Maxwell's Equations

Hu, Jonathan J., Tuminaro, Raymond S., Bochev, Pavel B., Garasi, Christopher J., Robinson, Allen C.

Journal:

SIAM Journal on Scientific Computing

Year:

2006

Language:

english

File:

PDF, 500 KB

english, 2006

39

On Least-Squares Finite Element Methods for the Poisson Equation and Their Connection to the Dirichlet and Kelvin Principles

Bochev, Pavel, Gunzburger, Max

Journal:

SIAM Journal on Numerical Analysis

Year:

2005

Language:

english

File:

PDF, 243 KB

english, 2005

40

A Taxonomy of Consistently Stabilized Finite Element Methods for the Stokes Problem

Barth, Teri, Bochev, Pavel, Gunzburger, Max, Shadid, John

Journal:

SIAM Journal on Scientific Computing

Year:

2004

Language:

english

File:

PDF, 295 KB

english, 2004

41

An Algebraic Multigrid Approach Based on a Compatible Gauge Reformulation of Maxwell's Equations

Bochev, Pavel B., Hu, Jonathan J., Siefert, Christopher M., Tuminaro, Raymond S.

Journal:

SIAM Journal on Scientific Computing

Year:

2008

Language:

english

File:

PDF, 419 KB

english, 2008

42

A non-conforming least-squares finite element method for incompressible fluid flow problems

Bochev, Pavel, Lai, James, Olson, Luke

Journal:

International Journal for Numerical Methods in Fluids

Year:

2013

Language:

english

File:

PDF, 4.92 MB

english, 2013

43

A parameter-free stabilized finite element method for scalar advection-diffusion problems

Pavel Bochev, Kara Peterson

Journal:

Central European Journal of Mathematics

Year:

2013

Language:

english

File:

PDF, 3.44 MB

english, 2013

44

[The IMA Volumes in Mathematics and its Applications] Compatible Spatial Discretizations Volume 142 || Numerical Convergence of the MPFA O-Method for General Quadrilateral Grids in Two and Three Dimensions

Arnold, Douglas N., Bochev, Pavel B., Lehoucq, Richard B., Nicolaides, Roy A., Shashkov, Mikhail

Year:

2006

Language:

english

File:

PDF, 978 KB

english, 2006

45

An extended finite element method with algebraic constraints (XFEM-AC) for problems with weak discontinuities

Kramer, Richard, Bochev, Pavel, Siefert, Christopher, Voth, Tom

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2013

Language:

english

File:

PDF, 865 KB

english, 2013

46

PR110 18FDG-PET-CT AND STAGE III BREAST CANCER – SINGLE INSTITUTION EXPERIENCE

Yordanov, Kaloyan, Chaushev, Borislav, Bochev, Pavel, Dancheva, Zhivka, Klisarova, Anelia

Journal:

Year:

2013

Language:

english

File:

PDF, 51 KB

english, 2013

47

ParNCL and ParGAL: Data-parallel Tools for Postprocessing of Large-scale Earth Science Data

Jacob, Robert, Krishna, Jayesh, Xu, Xiabing, Tautges, Tim, Grindeanu, Iulian, Latham, Rob, Peterson, Kara, Bochev, Pavel, Haley, Mary, Brown, David, Brownrigg, Richard, Shea, Dennis, Huang, Wei, Middl

Journal:

Procedia Computer Science

Year:

2013

Language:

english

File:

PDF, 465 KB

english, 2013

48

Fast optimization-based conservative remap of scalar fields through aggregate mass transfer

Bochev, Pavel, Ridzal, Denis, Shashkov, Mikhail

Journal:

Journal of Computational Physics

Year:

2013

Language:

english

File:

PDF, 1.09 MB

english, 2013

49

Analysis of Velocity-Flux Least-Squares Principles for the Navier-Stokes Equations: Part II

Pavel Bochev, Thomas A. Manteuffel and Stephen F. McCormick

Journal:

SIAM Journal on Numerical Analysis

Year:

1999

Language:

english

File:

PDF, 1.09 MB

english, 1999

50

On the Finite Element Solution of the Pure Neumann Problem

Pavel Bochev and R. B. Lehoucq

Journal:

Year:

2005

Language:

english

File:

PDF, 1.31 MB

english, 2005

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