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1

An a Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems

Paul Castillo, Bernardo Cockburn, Ilaria Perugia and Dominik Schötzau

Journal:

SIAM Journal on Numerical Analysis

Year:

2001

Language:

english

File:

PDF, 682 KB

english, 2001

2

Mixed finite element methods for stationary incompressible magneto–hydrodynamics

Dominik Schötzau

Journal:

Numerische Mathematik

Year:

2004

Language:

english

File:

PDF, 242 KB

english, 2004

3

A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics

Chen Greif, Dan Li, Dominik Schötzau, Xiaoxi Wei

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2010

Language:

english

File:

PDF, 1.05 MB

english, 2010

4

Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids

Cockburn, Bernardo, Kanschat, Guido, Perugia, Ilaria, Schötzau, Dominik

Journal:

SIAM Journal on Numerical Analysis

Year:

2001

Language:

english

File:

PDF, 471 KB

english, 2001

5

Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator

Paul Houston, Ilaria Perugia, Dominik Schötzau

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2005

Language:

english

File:

PDF, 517 KB

english, 2005

6

A Locally Conservative LDG Method for the Incompressible Navier-Stokes Equations

Bernardo Cockburn, Guido Kanschat and Dominik Schötzau

Journal:

Mathematics of Computation

Year:

2005

Language:

english

File:

PDF, 669 KB

english, 2005

7

The local discontinuous Galerkin method for linearized incompressible fluid flow: a review

Bernardo Cockburn, Guido Kanschat, Dominik Schötzau

Journal:

Computers & Fluids

Year:

2005

Language:

english

File:

PDF, 389 KB

english, 2005

8

A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier–Stokes Equations

Bernardo Cockburn, Guido Kanschat, Dominik Schötzau

Journal:

Journal of Scientific Computing

Year:

2007

Language:

english

File:

PDF, 124 KB

english, 2007

9

A Mixed DG Method for Linearized Incompressible Magnetohydrodynamics

Paul Houston, Dominik Schötzau, Xiaoxi Wei

Journal:

Journal of Scientific Computing

Year:

2009

Language:

english

File:

PDF, 946 KB

english, 2009

10

Interior penalty discontinuous Galerkin method for Maxwell's equations: Energy norm error estimates

Marcus J. Grote, Anna Schneebeli, Dominik Schötzau

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 207 KB

english, 2007

11

Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems

Castillo, Paul, Cockburn, Bernardo, Schötzau, Dominik, Schwab, Christoph

Journal:

Mathematics of Computation

Year:

2001

Language:

english

File:

PDF, 327 KB

english, 2001

12

Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method

Schötzau, Dominik, Schwab, Christoph

Journal:

SIAM Journal on Numerical Analysis

Year:

2000

Language:

english

File:

PDF, 418 KB

english, 2000

13

The Local Discontinuous Galerkin Method for the Oseen Equations

Bernardo Cockburn, Guido Kanschat and Dominik Schötzau

Journal:

Mathematics of Computation

Year:

2004

Language:

english

File:

PDF, 684 KB

english, 2004

14

Local Discontinuous Galerkin Methods for the Stokes System

Cockburn, Bernardo, Kanschat, Guido, Schötzau, Dominik, Schwab, Christoph

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 286 KB

english, 2002

15

Mixed Finite Element Methods for Problems with Robin Boundary Conditions

Könnö, Juho, Schötzau, Dominik, Stenberg, Rolf

Journal:

SIAM Journal on Numerical Analysis

Year:

2011

Language:

english

File:

PDF, 484 KB

english, 2011

16

ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS

HOUSTON, PAUL, SCHÖTZAU, DOMINIK, WIHLER, THOMAS P.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2007

Language:

english

File:

PDF, 471 KB

english, 2007

17

Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method

Dominik Schötzau and Christoph Schwab

Journal:

SIAM Journal on Numerical Analysis

Year:

2001

Language:

english

File:

PDF, 1.02 MB

english, 2001

18

Mixed hp -DGFEM for Incompressible Flows

Schötzau, Dominik, Schwab, Christoph, Toselli, Andrea

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 266 KB

english, 2002

19

Symmetric Interior Penalty Discontinuous Galerkin Methods for Elliptic Problems in Polygons

Müller, Fabian, Schötzau, Dominik, Schwab, Christoph

Journal:

SIAM Journal on Numerical Analysis

Year:

2017

Language:

english

File:

PDF, 617 KB

english, 2017

20

Local Discontinuous Galerkin Methods for the Stokes System

Bernardo Cockburn, Guido Kanschat, Dominik Schötzau and Christoph Schwab

Journal:

SIAM Journal on Numerical Analysis

Year:

2003

Language:

english

File:

PDF, 686 KB

english, 2003

21

An hp-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity

Paul Houston, Dominik Schötzau, Thomas P. Wihler

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2006

Language:

english

File:

PDF, 493 KB

english, 2006

22

Optimal a Priori Error Estimates for the hp-Version of the Local Discontinuous Galerkin Method for Convection-Diffusion Problems

Paul Castillo, Bernardo Cockburn, Dominik Schotzau and Christoph Schwab

Journal:

Mathematics of Computation

Year:

2002

Language:

english

File:

PDF, 1.76 MB

english, 2002

23

Mixed Discontinuous Galerkin Approximation of the Maxwell Operator

Paul Houston, Ilaria Perugia and Dominik Schötzau

Journal:

SIAM Journal on Numerical Analysis

Year:

2005

Language:

english

File:

PDF, 801 KB

english, 2005

24

An Equal-Order DG Method for the Incompressible Navier-Stokes Equations

Bernardo Cockburn, Guido Kanschat, Dominik Schötzau

Journal:

Journal of Scientific Computing

Year:

2009

Language:

english

File:

PDF, 508 KB

english, 2009

25

Energy norm a posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier–Stokes equations

Guido Kanschat, Dominik Schötzau

Journal:

International Journal for Numerical Methods in Fluids

Year:

2008

Language:

english

File:

PDF, 226 KB

english, 2008

26

Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case

Houston, Paul, Perugia, Ilaria, Schneebeli, Anna, Schötzau, Dominik

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2005

Language:

english

File:

PDF, 338 KB

english, 2005

27

hp-discontinuous Galerkin time-stepping for parabolic problems

Dominik Schötzau, Christoph Schwab

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2001

Language:

french

File:

PDF, 112 KB

french, 2001

28

Mixed finite elements for incompressible magneto-hydrodynamics

Anna Schneebeli, Dominik Schötzau

Journal:

Comptes Rendus Mathematique

Year:

2003

Language:

english

File:

PDF, 91 KB

english, 2003

29

Preconditioners for the discretized time-harmonic Maxwell equations in mixed form

Chen Greif, Dominik Schötzau

Journal:

Numerical Linear Algebra with Applications

Year:

2007

Language:

english

File:

PDF, 271 KB

english, 2007

30

Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation

Paul Houston, Ilaria Perugia, Dominik Schötzau

Journal:

Journal of Scientific Computing

Year:

2005

Language:

english

File:

PDF, 303 KB

english, 2005

31

Energy Normshape A PosterioriError Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem

Houston Paul, Dominik Schötzau, Thomas P. Wihler

Journal:

Journal of Scientific Computing

Year:

2005

Language:

english

File:

PDF, 489 KB

english, 2005

32

Exponential convergence for hp-version and spectral finite element methods for elliptic problems in polyhedra

Schötzau, Dominik, Schwab, Christoph

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2015

Language:

english

File:

PDF, 829 KB

english, 2015

33

A robust a-posteriori error estimator for discontinuous Galerkin methods for convection–diffusion equations

Dominik Schötzau, Liang Zhu

Journal:

Applied Numerical Mathematics

Year:

2009

Language:

english

File:

PDF, 761 KB

english, 2009

34

Discontinuous Galerkin Finite Element Method for the Wave Equation

Marcus J. Grote, Anna Schneebeli and Dominik Schötzau

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 1.64 MB

english, 2006

35

Stable and stabilized hp–finite element methods for the Stokes problem

Dominik Schötzau, Klaus Gerdes, Christoph Schwab

Journal:

Applied Numerical Mathematics

Year:

2000

Language:

english

File:

PDF, 158 KB

english, 2000

36

An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems

Castillo, Paul, Cockburn, Bernardo, Perugia, Ilaria, Schötzau, Dominik

Journal:

SIAM Journal on Numerical Analysis

Year:

2000

Language:

english

File:

PDF, 326 KB

english, 2000

37

Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids

Bernardo Cockburn, Guido Kanschat, Ilaria Perugia and Dominik Schötzau

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 1.99 MB

english, 2002

38

Optimal Error Estimates for the Fully Discrete Interior Penalty DG Method for the Wave Equation

Marcus J. Grote, Dominik Schötzau

Journal:

Journal of Scientific Computing

Year:

2009

Language:

english

File:

PDF, 384 KB

english, 2009

39

Hybridized globally divergence-free LDG methods. Part I: The Stokes problem

Carrero, Jesús, Cockburn, Bernardo, Schötzau, Dominik

Journal:

Mathematics of Computation

Year:

2005

Language:

english

File:

PDF, 1.12 MB

english, 2005

40

Mixed finite element approximation of incompressible MHD problems based on weighted regularization

Urs Hasler, Anna Schneebeli, Dominik Schötzau

Journal:

Applied Numerical Mathematics

Year:

2004

Language:

english

File:

PDF, 233 KB

english, 2004

41

Parallel numerical solution of the time-harmonic Maxwell equations in mixed form

Dan Li, Chen Greif, Dominik Schötzau

Journal:

Numerical Linear Algebra with Applications

Year:

2012

Language:

english

File:

PDF, 2.89 MB

english, 2012

42

hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations

Brunner, Hermann, Schötzau, Dominik

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 285 KB

english, 2006

43

A posteriori error estimation forhp-version time-stepping methods for parabolic partial differential equations

Dominik Schötzau, Thomas P. Wihler

Journal:

Numerische Mathematik

Year:

2010

Language:

english

File:

PDF, 478 KB

english, 2010

44

A locally conservative LDG method for the incompressible Navier-Stokes equations

Cockburn, Bernardo, Kanschat, Guido, Schötzau, Dominik

Journal:

Mathematics of Computation

Year:

2004

Language:

english

File:

PDF, 383 KB

english, 2004

45

Galerkin least squares hp-finite element method for the Stokes problem

Dominik Schötzau, Klaus Gerdes, Christoph Schwab

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1998

File:

PDF, 426 KB

1998

46

Anhp-Analysis of the Local Discontinuous Galerkin Method for Diffusion Problems

Ilaria Perugia, Dominik Schötzau

Journal:

Journal of Scientific Computing

Year:

2002

Language:

english

File:

PDF, 119 KB

english, 2002

47

MIXED hp-FEM ON ANISOTROPIC MESHES

SCHÖTZAU, DOMINIK, SCHWAB, CHRISTOPH

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

1998

Language:

english

File:

PDF, 1.50 MB

english, 1998

48

Preconditioners for Mixed Finite Element Discretizations of Incompressible MHD Equations

Wathen, Michael, Greif, Chen, Schötzau, Dominik

Journal:

SIAM Journal on Scientific Computing

Year:

2017

Language:

english

File:

PDF, 324 KB

english, 2017

49

hp-finite element simulations for Stokes flow — stable and stabilized

Klaus Gerdes, Dominik Schötzau

Journal:

Finite Elements in Analysis and Design

Year:

1999

Language:

english

File:

PDF, 974 KB

english, 1999

50

Discontinuous Galerkin methods for incompressible elastic materials

Bernardo Cockburn, Dominik Schötzau, Jing Wang

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2006

Language:

english

File:

PDF, 468 KB

english, 2006

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