Norbert Heuer

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 41

Top Topics

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Finite Element Methods

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Top Venues

Comput. Math. Appl.

Comput. Methods Appl. Math.

SIAM J. Numer. Anal.

Publications

Norbert Heuer
Generalized mixed and primal hybrid methods with applications to plate bending. CoRR (2024)
Carsten Carstensen, Norbert Heuer
A fractional-order trace-dev-div inequality. CoRR (2024)
Thomas Führer, Norbert Heuer
Robust DPG Test Spaces and Fortin Operators - The \(\boldsymbol{H^1}\) and \({\boldsymbol{H}}\boldsymbol{(\mathrm{div})}\) Cases. SIAM J. Numer. Anal. 62 (2) (2024)
Thomas Führer, Norbert Heuer, Antti H. Niemi
A Discontinuous Petrov-Galerkin Method for Reissner-Mindlin Plates. SIAM J. Numer. Anal. 61 (2) (2023)
Thomas Führer, Norbert Heuer
Robust DPG Fortin operators. CoRR (2023)
Norbert Heuer, Torsten Linß
A balanced finite-element method for an axisymmetrically loaded thin shell. CoRR (2023)
Thomas Führer, Pablo Herrera, Norbert Heuer
A DPG method for the quad-curl problem. CoRR (2023)
Thomas Führer, Norbert Heuer
Mixed finite elements for Kirchhoff-Love plate bending. CoRR (2023)
Thomas Führer, Pablo Herrera, Norbert Heuer
A DPG method for the quad-curl problem. Comput. Math. Appl. 149 (2023)
Thomas Führer, Norbert Heuer, Michael Karkulik
MINRES for Second-Order PDEs with Singular Data. SIAM J. Numer. Anal. 60 (3) (2022)
Thomas Führer, Norbert Heuer, Antti H. Niemi
A DPG method for Reissner-Mindlin plates. CoRR (2022)
Thomas Führer, Norbert Heuer, Antti H. Niemi
A DPG method for shallow shells. Numerische Mathematik 152 (1) (2022)
Thomas Führer, Pablo Herrera, Norbert Heuer
DPG Methods for a Fourth-Order div Problem. Comput. Methods Appl. Math. 22 (3) (2022)
Gabriel N. Gatica, Norbert Heuer, Salim Meddahi
Numerical Analysis & No Regrets. Special Issue Dedicated to the Memory of Francisco Javier Sayas (1968-2019). Comput. Methods Appl. Math. 22 (4) (2022)
Thomas Führer, Norbert Heuer, Michael Karkulik
Analysis of backward Euler primal DPG methods. CoRR (2021)
Thomas Führer, Norbert Heuer, Antti H. Niemi
A DPG method for shallow shells. CoRR (2021)
Thomas Führer, Norbert Heuer, Michael Karkulik
MINRES for second-order PDEs with singular data. CoRR (2021)
Thomas Führer, Norbert Heuer, Michael Karkulik
Analysis of Backward Euler Primal DPG Methods. Comput. Methods Appl. Math. 21 (4) (2021)
Leszek F. Demkowicz, Thomas Führer, Norbert Heuer, Xiaochuan Tian
The double adaptivity paradigm: (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi). Comput. Math. Appl. 95 (2021)
Thomas Führer, Carlos García Vera, Norbert Heuer
A Locking-Free DPG Scheme for Timoshenko Beams. Comput. Methods Appl. Math. 21 (2) (2021)
Thomas Führer, Pablo Herrera, Norbert Heuer
DPG methods for a fourth-order div problem. CoRR (2021)
Thomas Führer, Norbert Heuer
A robust DPG method for large domains. Comput. Math. Appl. 94 (2021)
Thomas Führer, Carlos García Vera, Norbert Heuer
A locking-free DPG scheme for Timoshenko beams. CoRR (2020)
Thomas Führer, Norbert Heuer, Francisco-Javier Sayas
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. Numerische Mathematik 145 (2) (2020)
Thomas Führer, Norbert Heuer
A robust DPG method for large domains. CoRR (2020)
Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan, Norbert Heuer
Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. Comput. Methods Appl. Math. 19 (3) (2019)
Thomas Führer, Norbert Heuer, Antti H. Niemi
An ultraweak formulation of the Kirchhoff-Love plate bending model and DPG approximation. Math. Comput. 88 (318) (2019)
Thomas Führer, Norbert Heuer
Optimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two. J. Sci. Comput. 79 (2) (2019)
Thomas Führer, Norbert Heuer, Francisco-Javier Sayas
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. CoRR (2019)
Thomas Führer, Norbert Heuer, Michael Karkulik, Rodolfo Rodríguez
Combining the DPG Method with Finite Elements. Comput. Methods Appl. Math. 18 (4) (2018)
Thomas Führer, Norbert Heuer
A wirebasket preconditioner for the mortar boundary element method. Adv. Comput. Math. 44 (1) (2018)
V. J. Ervin, Norbert Heuer, John Paul Roop
Regularity of the solution to 1-D fractional order diffusion equations. Math. Comput. 87 (313) (2018)
Pierre Cantin, Norbert Heuer
A DPG Framework for Strongly Monotone Operators. SIAM J. Numer. Anal. 56 (5) (2018)
Norbert Heuer, Michael Karkulik
Discontinuous Petrov-Galerkin boundary elements. Numerische Mathematik 135 (4) (2017)
Thomas Führer, Norbert Heuer
Robust coupling of DPG and BEM for a singularly perturbed transmission problem. Comput. Math. Appl. 74 (8) (2017)
Thomas Führer, Norbert Heuer, Michael Karkulik
On the coupling of DPG and BEM. Math. Comput. 86 (307) (2017)
Thomas Führer, Norbert Heuer, Jhuma Sen Gupta
A Time-Stepping DPG Scheme for the Heat Equation. Comput. Methods Appl. Math. 17 (2) (2017)
Vincent J. Ervin, Thomas Führer, Norbert Heuer, Michael Karkulik
DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation. J. Sci. Comput. 72 (2) (2017)
Norbert Heuer, Michael Karkulik
A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems. SIAM J. Numer. Anal. 55 (3) (2017)
Zhixing Fu, Norbert Heuer, Francisco-Javier Sayas
A non-symmetric coupling of Boundary Elements with the Hybridizable Discontinuous Galerkin method. Comput. Math. Appl. 74 (11) (2017)
Norbert Heuer, Salim Meddahi, Francisco-Javier Sayas
Symmetric Coupling of LDG-FEM and DG-BEM. J. Sci. Comput. 68 (1) (2016)
Norbert Heuer, Michael Karkulik
DPG method with optimal test functions for a transmission problem. Comput. Math. Appl. 70 (5) (2015)
Norbert Heuer, Francisco-Javier Sayas
Analysis of a non-symmetric coupling of Interior Penalty DG and BEM. Math. Comput. 84 (292) (2015)
Jesse Chan, Norbert Heuer, Tan Bui-Thanh, Leszek F. Demkowicz
A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms. Comput. Math. Appl. 67 (4) (2014)
Norbert Heuer, Felipe Pinochet
Ultra-weak Formulation of a Hypersingular Integral Equation on Polygons and DPG Method with Optimal Test Functions. SIAM J. Numer. Anal. 52 (6) (2014)
Norbert Heuer, Michael Karkulik, Francisco-Javier Sayas
Note on discontinuous trace approximation in the practical DPG method. Comput. Math. Appl. 68 (11) (2014)
Leszek F. Demkowicz, Norbert Heuer
Robust DPG Method for Convection-Dominated Diffusion Problems. SIAM J. Numer. Anal. 51 (5) (2013)
Norbert Heuer, Thanh Tran
A mixed method for Dirichlet problems with radial basis functions. Comput. Math. Appl. 66 (10) (2013)
Norbert Heuer, Salim Meddahi
Discontinuous Galerkin hp-BEM with quasi-uniform meshes. Numerische Mathematik 125 (4) (2013)
Norbert Heuer, Thanh Tran
Radial basis functions for the solution of hypersingular operators on open surfaces. Comput. Math. Appl. 63 (11) (2012)
Franz Chouly, Norbert Heuer
A Nitsche-based domain decomposition method for hypersingular integral equations. Numerische Mathematik 121 (4) (2012)
Víctor Domínguez, Norbert Heuer, Francisco-Javier Sayas
Hilbert scales and Sobolev spaces defined by associated Legendre functions. J. Comput. Appl. Math. 235 (12) (2011)
Alexei Bespalov, Norbert Heuer, Ralf Hiptmair
Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces. SIAM J. Numer. Anal. 48 (4) (2010)
Martin Healey, Norbert Heuer
Mortar Boundary Elements. SIAM J. Numer. Anal. 48 (4) (2010)
Gabriel N. Gatica, Norbert Heuer, Francisco-Javier Sayas
A direct coupling of local discontinuous Galerkin and boundary element methods. Math. Comput. 79 (271) (2010)
Alexei Bespalov, Norbert Heuer
Optimal Error Estimation for H(curl)-Conforming p-Interpolation in Two Dimensions. SIAM J. Numer. Anal. 47 (5) (2009)
Norbert Heuer, Francisco-Javier Sayas
Crouzeix-Raviart boundary elements. Numerische Mathematik 112 (3) (2009)
Daniel Arroyo, Alexei Bespalov, Norbert Heuer
On the finite element method for elliptic problems with degenerate and singular coefficients. Math. Comput. 76 (258) (2007)
Vincent J. Ervin, Norbert Heuer, John Paul Roop
Numerical Approximation of a Time Dependent, Nonlinear, Space-Fractional Diffusion Equation. SIAM J. Numer. Anal. 45 (2) (2007)
Alexei Bespalov, Norbert Heuer
-version of the boundary element method for weakly singular operators on piecewise plane open surfaces. Numerische Mathematik 106 (1) (2007)
Benqi Guo, Norbert Heuer
version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains. Adv. Comput. Math. 24 (1-4) (2006)
Alexei Bespalov, Norbert Heuer
-version of the boundary element method for hypersingular operators on piecewise plane open surfaces. Numerische Mathematik 100 (2) (2005)
Benqi Guo, Norbert Heuer
-version of the boundary element method in two dimensions. Numerische Mathematik 98 (3) (2004)
Norbert Heuer, Ernst P. Stephan
An Overlapping Domain Decomposition Preconditioner for High Order BEM with Anisotropic Elements. Adv. Comput. Math. 19 (1-3) (2003)
Gabriel N. Gatica, Norbert Heuer
A Preconditioned MINRES Method for the Coupling of Mixed-FEM and BEM for Some Nonlinear Problems. SIAM J. Sci. Comput. 24 (2) (2002)
Gabriel N. Gatica, Norbert Heuer
Conjugate gradient method for dual-dual mixed formulations. Math. Comput. 71 (240) (2002)
Norbert Heuer, Mario E. Mellado, Ernst P. Stephan
hp-adaptive Two-Level Methods for Boundary Integral Equations on Curves. Computing 67 (4) (2001)
Norbert Heuer
Additive Schwarz method for the p-version of the boundary element method for the single layer potential operator on a plane screen. Numerische Mathematik 88 (3) (2001)
Gabriel N. Gatica, Norbert Heuer
Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems. Numer. Linear Algebra Appl. 8 (3) (2001)
Gabriel N. Gatica, Norbert Heuer
A Dual-Dual Formulation for the Coupling of Mixed-FEM and BEM in Hyperelasticity. SIAM J. Numer. Anal. 38 (2) (2000)
Norbert Heuer, Matthias Maischak, Ernst P. Stephan
version of the coupled FEM/BEM with quasi-uniform meshes. Numer. Linear Algebra Appl. 6 (6) (1999)
Norbert Heuer, Matthias Maischak, Ernst P. Stephan
Exponential convergence of the hp-version for the boundary element method on open surfaces. Numerische Mathematik 83 (4) (1999)
Norbert Heuer, Ernst P. Stephan
Iterative Substructuring for Hypersingular Integral Equations in $\Bbb R^3$. SIAM J. Sci. Comput. 20 (2) (1998)
Norbert Heuer, Ernst P. Stephan, Thanh Tran
Multilevel additive Schwarz method for the h-p version of the Galerkin boundary element method. Math. Comput. 67 (222) (1998)