Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity. - Carstensen, Carsten; Heuer, Norbert (CoRR, 2025)

Innovative discretizations of PDEs: Towards an accurate representation of the reality. - Bertrand, Fleurianne; Boffi, Daniele; Düster, Alexander; Guermond, Jean-Luc; Heuer, Norbert; Li, Jichun; Rachowicz, Waldemar (Comput. Math. Appl., 2024)

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

A fractional-order trace-dev-div inequality. - Carstensen, Carsten; Heuer, Norbert (CoRR, 2024)

Generalized mixed and primal hybrid methods with applications to plate bending. - Heuer, Norbert (CoRR, 2024)

A DPG method for the quad-curl problem. - Führer, Thomas; Herrera, Pablo; Heuer, Norbert (Comput. Math. Appl., 2023)

A Discontinuous Petrov-Galerkin Method for Reissner-Mindlin Plates. - Führer, Thomas; Heuer, Norbert; Niemi, Antti H. (SIAM J. Numer. Anal., 2023)

A DPG method for the quad-curl problem. - Führer, Thomas; Herrera, Pablo; Heuer, Norbert (CoRR, 2023)

Robust DPG Fortin operators. - Führer, Thomas; Heuer, Norbert (CoRR, 2023)

Mixed finite elements for Kirchhoff-Love plate bending. - Führer, Thomas; Heuer, Norbert (CoRR, 2023)

A balanced finite-element method for an axisymmetrically loaded thin shell. - Heuer, Norbert; Linß, Torsten (CoRR, 2023)

DPG Methods for a Fourth-Order div Problem. - Führer, Thomas; Herrera, Pablo; Heuer, Norbert (Comput. Methods Appl. Math., 2022)

Numerical Analysis & No Regrets. Special Issue Dedicated to the Memory of Francisco Javier Sayas (1968-2019). - Gatica, Gabriel N.; Heuer, Norbert; Meddahi, Salim (Comput. Methods Appl. Math., 2022)

A DPG method for shallow shells. - Führer, Thomas; Heuer, Norbert; Niemi, Antti H. (Numerische Mathematik, 2022)

MINRES for Second-Order PDEs with Singular Data. - Führer, Thomas; Heuer, Norbert; Karkulik, Michael (SIAM J. Numer. Anal., 2022)

A DPG method for Reissner-Mindlin plates. - Führer, Thomas; Heuer, Norbert; Niemi, Antti H. (CoRR, 2022)

A robust DPG method for large domains. - Führer, Thomas; Heuer, Norbert (Comput. Math. Appl., 2021)

The double adaptivity paradigm: (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi). - Demkowicz, Leszek F.; Führer, Thomas; Heuer, Norbert; Tian, Xiaochuan (Comput. Math. Appl., 2021)

A Locking-Free DPG Scheme for Timoshenko Beams. - Führer, Thomas; Vera, Carlos García; Heuer, Norbert (Comput. Methods Appl. Math., 2021)

Analysis of Backward Euler Primal DPG Methods. - Führer, Thomas; Heuer, Norbert; Karkulik, Michael (Comput. Methods Appl. Math., 2021)

Analysis of backward Euler primal DPG methods. - Führer, Thomas; Heuer, Norbert; Karkulik, Michael (CoRR, 2021)

A DPG method for shallow shells. - Führer, Thomas; Heuer, Norbert; Niemi, Antti H. (CoRR, 2021)

MINRES for second-order PDEs with singular data. - Führer, Thomas; Heuer, Norbert; Karkulik, Michael (CoRR, 2021)

DPG methods for a fourth-order div problem. - Führer, Thomas; Herrera, Pablo; Heuer, Norbert (CoRR, 2021)

An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. - Führer, Thomas; Heuer, Norbert; Sayas, Francisco-Javier (Numerische Mathematik, 2020)

A locking-free DPG scheme for Timoshenko beams. - Führer, Thomas; Vera, Carlos García; Heuer, Norbert (CoRR, 2020)

A robust DPG method for large domains. - Führer, Thomas; Heuer, Norbert (CoRR, 2020)

Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. - Bertrand, Fleurianne; Demkowicz, Leszek F.; Gopalakrishnan, Jay; Heuer, Norbert (Comput. Methods Appl. Math., 2019)

Optimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two. - Führer, Thomas; Heuer, Norbert (J. Sci. Comput., 2019)

An ultraweak formulation of the Kirchhoff-Love plate bending model and DPG approximation. - Führer, Thomas; Heuer, Norbert; Niemi, Antti H. (Math. Comput., 2019)

An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. - Führer, Thomas; Heuer, Norbert; Sayas, Francisco-Javier (CoRR, 2019)

A wirebasket preconditioner for the mortar boundary element method. - Führer, Thomas; Heuer, Norbert (Adv. Comput. Math., 2018)

Combining the DPG Method with Finite Elements. - Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Rodríguez, Rodolfo (Comput. Methods Appl. Math., 2018)

Regularity of the solution to 1-D fractional order diffusion equations. - Ervin, V. J.; Heuer, Norbert; Roop, John Paul (Math. Comput., 2018)

A DPG Framework for Strongly Monotone Operators. - Cantin, Pierre; Heuer, Norbert (SIAM J. Numer. Anal., 2018)

Robust coupling of DPG and BEM for a singularly perturbed transmission problem. - Führer, Thomas; Heuer, Norbert (Comput. Math. Appl., 2017)

A non-symmetric coupling of Boundary Elements with the Hybridizable Discontinuous Galerkin method. - Fu, Zhixing; Heuer, Norbert; Sayas, Francisco-Javier (Comput. Math. Appl., 2017)

A Time-Stepping DPG Scheme for the Heat Equation. - Führer, Thomas; Heuer, Norbert; Gupta, Jhuma Sen (Comput. Methods Appl. Math., 2017)

DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation. - Ervin, Vincent J.; Führer, Thomas; Heuer, Norbert; Karkulik, Michael (J. Sci. Comput., 2017)

On the coupling of DPG and BEM. - Führer, Thomas; Heuer, Norbert; Karkulik, Michael (Math. Comput., 2017)

Discontinuous Petrov-Galerkin boundary elements. - Heuer, Norbert; Karkulik, Michael (Numerische Mathematik, 2017)

A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems. - Heuer, Norbert; Karkulik, Michael (SIAM J. Numer. Anal., 2017)

Symmetric Coupling of LDG-FEM and DG-BEM. - Heuer, Norbert; Meddahi, Salim; Sayas, Francisco-Javier (J. Sci. Comput., 2016)

DPG method with optimal test functions for a transmission problem. - Heuer, Norbert; Karkulik, Michael (Comput. Math. Appl., 2015)

Analysis of a non-symmetric coupling of Interior Penalty DG and BEM. - Heuer, Norbert; Sayas, Francisco-Javier (Math. Comput., 2015)

A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms. - Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek F. (Comput. Math. Appl., 2014)

Note on discontinuous trace approximation in the practical DPG method. - Heuer, Norbert; Karkulik, Michael; Sayas, Francisco-Javier (Comput. Math. Appl., 2014)

Ultra-weak Formulation of a Hypersingular Integral Equation on Polygons and DPG Method with Optimal Test Functions. - Heuer, Norbert; Pinochet, Felipe (SIAM J. Numer. Anal., 2014)

A mixed method for Dirichlet problems with radial basis functions. - Heuer, Norbert; Tran, Thanh (Comput. Math. Appl., 2013)

Discontinuous Galerkin hp-BEM with quasi-uniform meshes. - Heuer, Norbert; Meddahi, Salim (Numerische Mathematik, 2013)

Robust DPG Method for Convection-Dominated Diffusion Problems. - Demkowicz, Leszek F.; Heuer, Norbert (SIAM J. Numer. Anal., 2013)

Radial basis functions for the solution of hypersingular operators on open surfaces. - Heuer, Norbert; Tran, Thanh (Comput. Math. Appl., 2012)

A Nitsche-based domain decomposition method for hypersingular integral equations. - Chouly, Franz; Heuer, Norbert (Numerische Mathematik, 2012)

Hilbert scales and Sobolev spaces defined by associated Legendre functions. - Domínguez, Víctor; Heuer, Norbert; Sayas, Francisco-Javier (J. Comput. Appl. Math., 2011)

A direct coupling of local discontinuous Galerkin and boundary element methods. - Gatica, Gabriel N.; Heuer, Norbert; Sayas, Francisco-Javier (Math. Comput., 2010)

Mortar Boundary Elements. - Healey, Martin; Heuer, Norbert (SIAM J. Numer. Anal., 2010)

Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces. - Bespalov, Alexei; Heuer, Norbert; Hiptmair, Ralf (SIAM J. Numer. Anal., 2010)

Crouzeix-Raviart boundary elements. - Heuer, Norbert; Sayas, Francisco-Javier (Numerische Mathematik, 2009)

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

On the finite element method for elliptic problems with degenerate and singular coefficients. - Arroyo, Daniel; Bespalov, Alexei; Heuer, Norbert (Math. Comput., 2007)

The p-version of the boundary element method for weakly singular operators on piecewise plane open surfaces. - Bespalov, Alexei; Heuer, Norbert (Numerische Mathematik, 2007)

Numerical Approximation of a Time Dependent, Nonlinear, Space-Fractional Diffusion Equation. - Ervin, Vincent J.; Heuer, Norbert; Roop, John Paul (SIAM J. Numer. Anal., 2007)

The optimal convergence of the h-p version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains. - Guo, Benqi; Heuer, Norbert (Adv. Comput. Math., 2006)

The p-version of the boundary element method for hypersingular operators on piecewise plane open surfaces. - Bespalov, Alexei; Heuer, Norbert (Numerische Mathematik, 2005)

The optimal rate of convergence of the p-version of the boundary element method in two dimensions. - Guo, Benqi; Heuer, Norbert (Numerische Mathematik, 2004)

An Overlapping Domain Decomposition Preconditioner for High Order BEM with Anisotropic Elements. - Heuer, Norbert; Stephan, Ernst P. (Adv. Comput. Math., 2003)

Conjugate gradient method for dual-dual mixed formulations. - Gatica, Gabriel N.; Heuer, Norbert (Math. Comput., 2002)

A Preconditioned MINRES Method for the Coupling of Mixed-FEM and BEM for Some Nonlinear Problems. - Gatica, Gabriel N.; Heuer, Norbert (SIAM J. Sci. Comput., 2002)

hp-adaptive Two-Level Methods for Boundary Integral Equations on Curves. - Heuer, Norbert; Mellado, Mario E.; Stephan, Ernst P. (Computing, 2001)

Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems. - Gatica, Gabriel N.; Heuer, Norbert (Numer. Linear Algebra Appl., 2001)

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

A Dual-Dual Formulation for the Coupling of Mixed-FEM and BEM in Hyperelasticity. - Gatica, Gabriel N.; Heuer, Norbert (SIAM J. Numer. Anal., 2000)

Preconditioned minimum residual iteration for the h-p version of the coupled FEM/BEM with quasi-uniform meshes. - Heuer, Norbert; Maischak, Matthias; Stephan, Ernst P. (Numer. Linear Algebra Appl., 1999)

Exponential convergence of the hp-version for the boundary element method on open surfaces. - Heuer, Norbert; Maischak, Matthias; Stephan, Ernst P. (Numerische Mathematik, 1999)

Multilevel additive Schwarz method for the h-p version of the Galerkin boundary element method. - Heuer, Norbert; Stephan, Ernst P.; Tran, Thanh (Math. Comput., 1998)

Iterative Substructuring for Hypersingular Integral Equations in $\Bbb R^3$. - Heuer, Norbert; Stephan, Ernst P. (SIAM J. Sci. Comput., 1998)