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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

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

4

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

5

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

6

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

7

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

8

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

9

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

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

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

12

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

13

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

14

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

15

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

16

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

17

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

18

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

19

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

20

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

21

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

22

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

23

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

24

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

25

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

26

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

27

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

28

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

29

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

30

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

31

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

32

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

33

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

34

Exponential convergence of mixed hp-DGFEM for Stokes flow in polygons

Dominik Schötzau, Thomas P. Wihler

Journal:

Numerische Mathematik

Year:

2003

Language:

english

File:

PDF, 225 KB

english, 2003

35

Interior penalty method for the indefinite time-harmonic Maxwell equations

Paul Houston, Ilaria Perugia, Anna Schneebeli, Dominik Schötzau

Journal:

Numerische Mathematik

Year:

2005

Language:

english

File:

PDF, 290 KB

english, 2005

36

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

37

Mixed hp-FEM on anisotropic meshes II: Hanging nodes and tensor products of boundary layer meshes

Dominik Schötzau, Christoph Schwab, Rolf Stenberg

Journal:

Numerische Mathematik

Year:

1999

Language:

english

File:

PDF, 255 KB

english, 1999

38

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

39

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

40

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

41

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

42

On the Coupling of Local Discontinuous Galerkin and Conforming Finite Element Methods

Ilaria Perugia, Dominik Schötzau

Journal:

Journal of Scientific Computing

Year:

2001

Language:

english

File:

PDF, 505 KB

english, 2001

43

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

44

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

45

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

46

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

47

Mixed Discontinuous Galerkin Approximation of the Maxwell Operator

Houston, Paul, Perugia, Ilaria, Schotzau, Dominik

Journal:

SIAM Journal on Numerical Analysis

Year:

2004

Language:

english

File:

PDF, 323 KB

english, 2004

48

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

49

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

50

An a-posteriori error estimate for -adaptive DG methods for convection–diffusion problems on anisotropically refined meshes

Giani, Stefano, Schötzau, Dominik, Zhu, Liang

Journal:

Computers & Mathematics with Applications

Year:

2014

Language:

english

File:

PDF, 1.24 MB

english, 2014