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2020 – today
- 2024
[j61]Fleurianne Bertrand, Daniele Boffi, Alexander Düster, Jean-Luc Guermond, Norbert Heuer, Jichun Li, Waldemar Rachowicz:
Innovative discretizations of PDEs: Towards an accurate representation of the reality. Comput. Math. Appl. 176: 221-223 (2024)- [j60]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): 718-748 (2024) - [i14]Carsten Carstensen, Norbert Heuer:
A fractional-order trace-dev-div inequality. CoRR abs/2403.01291 (2024) - [i13]Norbert Heuer:
Generalized mixed and primal hybrid methods with applications to plate bending. CoRR abs/2406.12541 (2024) - 2023
- [j59]Thomas Führer, Pablo Herrera, Norbert Heuer:
A DPG method for the quad-curl problem. Comput. Math. Appl. 149: 221-238 (2023) - [j58]Thomas Führer, Norbert Heuer, Antti H. Niemi:
A Discontinuous Petrov-Galerkin Method for Reissner-Mindlin Plates. SIAM J. Numer. Anal. 61(2): 995-1017 (2023) - [i12]Thomas Führer, Pablo Herrera, Norbert Heuer:
A DPG method for the quad-curl problem. CoRR abs/2301.10588 (2023) - [i11]Thomas Führer, Norbert Heuer:
Robust DPG Fortin operators. CoRR abs/2301.13021 (2023) - [i10]Thomas Führer, Norbert Heuer:
Mixed finite elements for Kirchhoff-Love plate bending. CoRR abs/2305.08693 (2023) - [i9]Norbert Heuer, Torsten Linß:
A balanced finite-element method for an axisymmetrically loaded thin shell. CoRR abs/2306.12952 (2023) - 2022
- [j57]Thomas Führer, Pablo Herrera, Norbert Heuer:
DPG Methods for a Fourth-Order div Problem. Comput. Methods Appl. Math. 22(3): 545-562 (2022) - [j56]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): 751-755 (2022) - [j55]Thomas Führer, Norbert Heuer, Antti H. Niemi:
A DPG method for shallow shells. Numerische Mathematik 152(1): 67-99 (2022) - [j54]Thomas Führer, Norbert Heuer, Michael Karkulik:
MINRES for Second-Order PDEs with Singular Data. SIAM J. Numer. Anal. 60(3): 1111-1135 (2022) - [i8]Thomas Führer, Norbert Heuer, Antti H. Niemi:
A DPG method for Reissner-Mindlin plates. CoRR abs/2205.13301 (2022) - 2021
- [j53]Thomas Führer, Norbert Heuer:
A robust DPG method for large domains. Comput. Math. Appl. 94: 15-27 (2021) - [j52]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: 41-66 (2021) - [j51]Thomas Führer, Carlos García Vera, Norbert Heuer:
A Locking-Free DPG Scheme for Timoshenko Beams. Comput. Methods Appl. Math. 21(2): 373-383 (2021) - [j50]Thomas Führer, Norbert Heuer, Michael Karkulik:
Analysis of Backward Euler Primal DPG Methods. Comput. Methods Appl. Math. 21(4): 811-826 (2021) - [i7]Thomas Führer, Norbert Heuer, Michael Karkulik:
Analysis of backward Euler primal DPG methods. CoRR abs/2103.12181 (2021) - [i6]Thomas Führer, Norbert Heuer, Antti H. Niemi:
A DPG method for shallow shells. CoRR abs/2107.07624 (2021) - [i5]Thomas Führer, Norbert Heuer, Michael Karkulik:
MINRES for second-order PDEs with singular data. CoRR abs/2111.00103 (2021) - [i4]Thomas Führer, Pablo Herrera, Norbert Heuer:
DPG methods for a fourth-order div problem. CoRR abs/2112.15153 (2021) - 2020
- [j49]Thomas Führer, Norbert Heuer, Francisco-Javier Sayas:
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. Numerische Mathematik 145(2): 313-344 (2020) - [i3]Thomas Führer, Carlos García Vera, Norbert Heuer:
A locking-free DPG scheme for Timoshenko beams. CoRR abs/2004.00455 (2020) - [i2]Thomas Führer, Norbert Heuer:
A robust DPG method for large domains. CoRR abs/2011.12098 (2020)
2010 – 2019
- 2019
- [j48]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): 395-397 (2019) - [j47]Thomas Führer, Norbert Heuer:
Optimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two. J. Sci. Comput. 79(2): 1161-1181 (2019) - [j46]Thomas Führer, Norbert Heuer, Antti H. Niemi:
An ultraweak formulation of the Kirchhoff-Love plate bending model and DPG approximation. Math. Comput. 88(318): 1587-1619 (2019) - [i1]Thomas Führer, Norbert Heuer, Francisco-Javier Sayas:
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. CoRR abs/1906.04869 (2019) - 2018
- [j45]Thomas Führer, Norbert Heuer:
A wirebasket preconditioner for the mortar boundary element method. Adv. Comput. Math. 44(1): 23-49 (2018) - [j44]Thomas Führer, Norbert Heuer, Michael Karkulik, Rodolfo Rodríguez:
Combining the DPG Method with Finite Elements. Comput. Methods Appl. Math. 18(4): 639-652 (2018) - [j43]V. J. Ervin, Norbert Heuer, John Paul Roop:
Regularity of the solution to 1-D fractional order diffusion equations. Math. Comput. 87(313): 2273-2294 (2018) - [j42]Pierre Cantin, Norbert Heuer:
A DPG Framework for Strongly Monotone Operators. SIAM J. Numer. Anal. 56(5): 2731-2750 (2018) - 2017
- [j41]Thomas Führer, Norbert Heuer:
Robust coupling of DPG and BEM for a singularly perturbed transmission problem. Comput. Math. Appl. 74(8): 1940-1954 (2017) - [j40]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): 2752-2768 (2017) - [j39]Thomas Führer, Norbert Heuer, Jhuma Sen Gupta:
A Time-Stepping DPG Scheme for the Heat Equation. Comput. Methods Appl. Math. 17(2): 237 (2017) - [j38]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): 568-585 (2017) - [j37]Thomas Führer, Norbert Heuer, Michael Karkulik:
On the coupling of DPG and BEM. Math. Comput. 86(307): 2261-2284 (2017) - [j36]Norbert Heuer, Michael Karkulik:
Discontinuous Petrov-Galerkin boundary elements. Numerische Mathematik 135(4): 1011-1043 (2017) - [j35]Norbert Heuer, Michael Karkulik:
A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems. SIAM J. Numer. Anal. 55(3): 1218-1242 (2017) - 2016
- [j34]Norbert Heuer, Salim Meddahi, Francisco-Javier Sayas:
Symmetric Coupling of LDG-FEM and DG-BEM. J. Sci. Comput. 68(1): 303-325 (2016) - 2015
- [j33]Norbert Heuer, Michael Karkulik:
DPG method with optimal test functions for a transmission problem. Comput. Math. Appl. 70(5): 1070-1081 (2015) - [j32]Norbert Heuer, Francisco-Javier Sayas:
Analysis of a non-symmetric coupling of Interior Penalty DG and BEM. Math. Comput. 84(292): 581-598 (2015) - 2014
- [j31]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): 771-795 (2014) - [j30]Norbert Heuer, Michael Karkulik, Francisco-Javier Sayas:
Note on discontinuous trace approximation in the practical DPG method. Comput. Math. Appl. 68(11): 1562-1568 (2014) - [j29]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): 2703-2721 (2014) - 2013
- [j28]Norbert Heuer, Thanh Tran:
A mixed method for Dirichlet problems with radial basis functions. Comput. Math. Appl. 66(10): 2045-2055 (2013) - [j27]Norbert Heuer, Salim Meddahi:
Discontinuous Galerkin hp-BEM with quasi-uniform meshes. Numerische Mathematik 125(4): 679-703 (2013) - [j26]Leszek F. Demkowicz, Norbert Heuer:
Robust DPG Method for Convection-Dominated Diffusion Problems. SIAM J. Numer. Anal. 51(5): 2514-2537 (2013) - 2012
- [j25]Norbert Heuer, Thanh Tran:
Radial basis functions for the solution of hypersingular operators on open surfaces. Comput. Math. Appl. 63(11): 1504-1518 (2012) - [j24]Franz Chouly, Norbert Heuer:
A Nitsche-based domain decomposition method for hypersingular integral equations. Numerische Mathematik 121(4): 705-729 (2012) - 2011
- [j23]Víctor Domínguez, Norbert Heuer, Francisco-Javier Sayas:
Hilbert scales and Sobolev spaces defined by associated Legendre functions. J. Comput. Appl. Math. 235(12): 3481-3501 (2011) - 2010
- [j22]Gabriel N. Gatica, Norbert Heuer, Francisco-Javier Sayas:
A direct coupling of local discontinuous Galerkin and boundary element methods. Math. Comput. 79(271): 1369-1394 (2010) - [j21]Martin Healey, Norbert Heuer:
Mortar Boundary Elements. SIAM J. Numer. Anal. 48(4): 1395-1418 (2010) - [j20]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): 1518-1529 (2010)
2000 – 2009
- 2009
- [j19]Norbert Heuer, Francisco-Javier Sayas:
Crouzeix-Raviart boundary elements. Numerische Mathematik 112(3): 381-401 (2009) - [j18]Alexei Bespalov, Norbert Heuer:
Optimal Error Estimation for H(curl)-Conforming p-Interpolation in Two Dimensions. SIAM J. Numer. Anal. 47(5): 3977-3989 (2009) - 2007
- [j17]Daniel Arroyo, Alexei Bespalov, Norbert Heuer:
On the finite element method for elliptic problems with degenerate and singular coefficients. Math. Comput. 76(258): 509-537 (2007) - [j16]Alexei Bespalov, Norbert Heuer:
The p-version of the boundary element method for weakly singular operators on piecewise plane open surfaces. Numerische Mathematik 106(1): 69-97 (2007) - [j15]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): 572-591 (2007) - 2006
- [j14]Benqi Guo, Norbert Heuer:
The optimal convergence of the h-p version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains. Adv. Comput. Math. 24(1-4): 353-374 (2006) - 2005
- [j13]Alexei Bespalov, Norbert Heuer:
The p-version of the boundary element method for hypersingular operators on piecewise plane open surfaces. Numerische Mathematik 100(2): 185-209 (2005) - 2004
- [j12]Benqi Guo, Norbert Heuer:
The optimal rate of convergence of the p-version of the boundary element method in two dimensions. Numerische Mathematik 98(3): 499-538 (2004) - 2003
- [j11]Norbert Heuer, Ernst P. Stephan:
An Overlapping Domain Decomposition Preconditioner for High Order BEM with Anisotropic Elements. Adv. Comput. Math. 19(1-3): 211-230 (2003) - 2002
- [j10]Gabriel N. Gatica, Norbert Heuer:
Conjugate gradient method for dual-dual mixed formulations. Math. Comput. 71(240): 1455-1472 (2002) - [j9]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): 572-596 (2002) - 2001
- [j8]Norbert Heuer, Mario E. Mellado, Ernst P. Stephan:
hp-adaptive Two-Level Methods for Boundary Integral Equations on Curves. Computing 67(4): 305-334 (2001) - [j7]Gabriel N. Gatica, Norbert Heuer:
Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems. Numer. Linear Algebra Appl. 8(3): 147-164 (2001) - [j6]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): 485-511 (2001) - 2000
- [j5]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): 380-400 (2000)
1990 – 1999
- 1999
- [j4]Norbert Heuer, Matthias Maischak, Ernst P. Stephan:
Preconditioned minimum residual iteration for the h-p version of the coupled FEM/BEM with quasi-uniform meshes. Numer. Linear Algebra Appl. 6(6): 435-456 (1999) - [j3]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): 641-666 (1999) - 1998
- [j2]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): 501-518 (1998) - [j1]Norbert Heuer, Ernst P. Stephan:
Iterative Substructuring for Hypersingular Integral Equations in $\Bbb R^3$. SIAM J. Sci. Comput. 20(2): 739-749 (1998)
Coauthor Index
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