Norbert Heuer

Orcid: 0000-0002-5171-1457

According to our database1, Norbert Heuer authored at least 65 papers between 1998 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Robust DPG Test Spaces and Fortin Operators - The \(\boldsymbol{H^1}\) and \({\boldsymbol{H}}\boldsymbol{(\mathrm{div})}\) Cases.
SIAM J. Numer. Anal., 2024

A fractional-order trace-dev-div inequality.
CoRR, 2024

2023
A DPG method for the quad-curl problem.
Comput. Math. Appl., November, 2023

A Discontinuous Petrov-Galerkin Method for Reissner-Mindlin Plates.
SIAM J. Numer. Anal., April, 2023

A balanced finite-element method for an axisymmetrically loaded thin shell.
CoRR, 2023

Mixed finite elements for Kirchhoff-Love plate bending.
CoRR, 2023

Robust DPG Fortin operators.
CoRR, 2023

2022
MINRES for Second-Order PDEs with Singular Data.
SIAM J. Numer. Anal., 2022

A DPG method for shallow shells.
Numerische Mathematik, 2022

A DPG method for Reissner-Mindlin plates.
CoRR, 2022

Numerical Analysis & No Regrets. Special Issue Dedicated to the Memory of Francisco Javier Sayas (1968-2019).
Comput. Methods Appl. Math., 2022

DPG Methods for a Fourth-Order div Problem.
Comput. Methods Appl. Math., 2022

2021
A Locking-Free DPG Scheme for Timoshenko Beams.
Comput. Methods Appl. Math., 2021

Analysis of Backward Euler Primal DPG Methods.
Comput. Methods Appl. Math., 2021

A robust DPG method for large domains.
Comput. Math. Appl., 2021

The double adaptivity paradigm: (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi).
Comput. Math. Appl., 2021

2020
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation.
Numerische Mathematik, 2020

2019
An ultraweak formulation of the Kirchhoff-Love plate bending model and DPG approximation.
Math. Comput., 2019

Optimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two.
J. Sci. Comput., 2019

Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods.
Comput. Methods Appl. Math., 2019

2018
A DPG Framework for Strongly Monotone Operators.
SIAM J. Numer. Anal., 2018

Regularity of the solution to 1-D fractional order diffusion equations.
Math. Comput., 2018

Combining the DPG Method with Finite Elements.
Comput. Methods Appl. Math., 2018

A wirebasket preconditioner for the mortar boundary element method.
Adv. Comput. Math., 2018

2017
A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems.
SIAM J. Numer. Anal., 2017

Discontinuous Petrov-Galerkin boundary elements.
Numerische Mathematik, 2017

On the coupling of DPG and BEM.
Math. Comput., 2017

DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation.
J. Sci. Comput., 2017

A Time-Stepping DPG Scheme for the Heat Equation.
Comput. Methods Appl. Math., 2017

Robust coupling of DPG and BEM for a singularly perturbed transmission problem.
Comput. Math. Appl., 2017

A non-symmetric coupling of Boundary Elements with the Hybridizable Discontinuous Galerkin method.
Comput. Math. Appl., 2017

2016
Symmetric Coupling of LDG-FEM and DG-BEM.
J. Sci. Comput., 2016

2015
Analysis of a non-symmetric coupling of Interior Penalty DG and BEM.
Math. Comput., 2015

DPG method with optimal test functions for a transmission problem.
Comput. Math. Appl., 2015

2014
Ultra-weak Formulation of a Hypersingular Integral Equation on Polygons and DPG Method with Optimal Test Functions.
SIAM J. Numer. Anal., 2014

Note on discontinuous trace approximation in the practical DPG method.
Comput. Math. Appl., 2014

A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms.
Comput. Math. Appl., 2014

2013
Robust DPG Method for Convection-Dominated Diffusion Problems.
SIAM J. Numer. Anal., 2013

Discontinuous Galerkin hp-BEM with quasi-uniform meshes.
Numerische Mathematik, 2013

A mixed method for Dirichlet problems with radial basis functions.
Comput. Math. Appl., 2013

2012
A Nitsche-based domain decomposition method for hypersingular integral equations.
Numerische Mathematik, 2012

Radial basis functions for the solution of hypersingular operators on open surfaces.
Comput. Math. Appl., 2012

2011
Hilbert scales and Sobolev spaces defined by associated Legendre functions.
J. Comput. Appl. Math., 2011

2010
Mortar Boundary Elements.
SIAM J. Numer. Anal., 2010

Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces.
SIAM J. Numer. Anal., 2010

A direct coupling of local discontinuous Galerkin and boundary element methods.
Math. Comput., 2010

2009
Optimal Error Estimation for H(curl)-Conforming p-Interpolation in Two Dimensions.
SIAM J. Numer. Anal., 2009

Crouzeix-Raviart boundary elements.
Numerische Mathematik, 2009

2007
Numerical Approximation of a Time Dependent, Nonlinear, Space-Fractional Diffusion Equation.
SIAM J. Numer. Anal., 2007

The <i>p</i>-version of the boundary element method for weakly singular operators on piecewise plane open surfaces.
Numerische Mathematik, 2007

On the finite element method for elliptic problems with degenerate and singular coefficients.
Math. Comput., 2007

2006
The optimal convergence of the <i>h</i>-<i>p</i> version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains.
Adv. Comput. Math., 2006

2005
The <i>p</i>-version of the boundary element method for hypersingular operators on piecewise plane open surfaces.
Numerische Mathematik, 2005

2004
The optimal rate of convergence of the <i>p</i>-version of the boundary element method in two dimensions.
Numerische Mathematik, 2004

2003
An Overlapping Domain Decomposition Preconditioner for High Order BEM with Anisotropic Elements.
Adv. Comput. Math., 2003

2002
A Preconditioned MINRES Method for the Coupling of Mixed-FEM and BEM for Some Nonlinear Problems.
SIAM J. Sci. Comput., 2002

Conjugate gradient method for dual-dual mixed formulations.
Math. Comput., 2002

2001
Additive Schwarz method for the p-version of the boundary element method for the single layer potential operator on a plane screen.
Numerische Mathematik, 2001

Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems.
Numer. Linear Algebra Appl., 2001

hp-adaptive Two-Level Methods for Boundary Integral Equations on Curves.
Computing, 2001

2000
A Dual-Dual Formulation for the Coupling of Mixed-FEM and BEM in Hyperelasticity.
SIAM J. Numer. Anal., 2000

1999
Exponential convergence of the hp-version for the boundary element method on open surfaces.
Numerische Mathematik, 1999

Preconditioned minimum residual iteration for the <i>h-p</i> version of the coupled FEM/BEM with quasi-uniform meshes.
Numer. Linear Algebra Appl., 1999

1998
Iterative Substructuring for Hypersingular Integral Equations in $\Bbb R^3$.
SIAM J. Sci. Comput., 1998

Multilevel additive Schwarz method for the h-p version of the Galerkin boundary element method.
Math. Comput., 1998


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