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## Heuer, Norbert

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 Author ID: heuer.norbert Published as: Heuer, N.; Heuer, Nobert; Heuer, Norbert
 Documents Indexed: 101 Publications since 1991, including 4 Books
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#### Co-Authors

 12 single-authored 19 Stephan, Ernst Peter 16 Gatica, Gabriel N. 14 Führer, Thomas 12 Bespalov, Alexei 9 Karkulik, Michael 8 Sayas, Francisco-Javier 6 Ervin, Vincent J. 4 Meddahi, Salim 3 Demkowicz, Leszek F. 3 Guo, Benqi 3 Rodríguez, Rodolfo 2 Barrios, Tomás P. 2 Healey, Martin 2 Leydecker, Florian 2 Maischak, Matthias 2 Mellado, Mario E. 2 Roop, John Paul 1 Acosta, Gabriel 1 Araya, Rodolfo A. 1 Arroyo, Daniel 1 Barrientos, Mauricio A. 1 Bertrand, Fleurianne 1 Borthagaray, Juan Pablo 1 Bui-Thanh, Tan 1 Bürger, Raimund 1 Cantin, Pierre 1 Chan, Jesse 1 Chouly, Franz 1 Domínguez-Garcia, Catalina 1 Domínguez, Víctor 1 Feischl, Michael 1 Figueroa, Leonardo E. 1 Fu, Zhixing 1 González, María Paula 1 Gopalakrishnan, Jay 1 Haberl, Alexander 1 Hiptmair, Ralf 1 Niemi, Antti H. 1 Pinochet, Felipe 1 Praetorius, Dirk 1 Salmerón, Gredy 1 Sen Gupta, Jhuma 1 Tran, Thanh Khiet 1 Tran, Thanh-Luong 1 Tran, Thanh Ngoc
all top 5

#### Serials

 11 Numerische Mathematik 10 SIAM Journal on Numerical Analysis 9 Numerical Methods for Partial Differential Equations 8 Computers & Mathematics with Applications 8 IMA Journal of Numerical Analysis 8 Mathematics of Computation 4 Computer Methods in Applied Mechanics and Engineering 4 Applied Numerical Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of Scientific Computing 3 Journal of Integral Equations and Applications 3 Advances in Computational Mathematics 3 Computational Methods in Applied Mathematics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Calcolo 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Scientific Computing 2 Numerical Linear Algebra with Applications 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Computing 1 International Journal for Numerical Methods in Engineering 1 Mathematische Nachrichten 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Archives of Computational Methods in Engineering
all top 5

#### Fields

 97 Numerical analysis (65-XX) 66 Partial differential equations (35-XX) 11 Mechanics of deformable solids (74-XX) 9 Optics, electromagnetic theory (78-XX) 7 Integral equations (45-XX) 4 Fluid mechanics (76-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

88 Publications have been cited 861 times in 514 Documents Cited by Year
Numerical approximation of a time dependent, nonlinear, space-fractional diffusion equation. Zbl 1141.65089
Ervin, Vincent J.; Heuer, Norbert; Roop, John Paul
2007
Regularity of the solution to 1-D fractional order diffusion equations. Zbl 1394.65145
Ervin, V. J.; Heuer, N.; Roop, J. P.
2018
Robust DPG method for convection-dominated diffusion problems. Zbl 1290.65088
Demkowicz, Leszek; Heuer, Norbert
2013
A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms. Zbl 1350.65120
Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek
2014
On the numerical analysis of nonlinear twofold saddle point problems. Zbl 1028.65128
Gatica, Gabriel N.; Heuer, Norbert; Meddahi, Salim
2003
Additive Schwarz method for the $$p$$-version of the boundary element method for the single layer potential operator on a plane screen. Zbl 1003.65137
Heuer, Norbert
2001
A residual-based a posteriori error estimator for an augmented mixed finite element method in linear elasticity. Zbl 1109.74047
Barrios, Tomás P.; Gatica, Gabriel N.; González, María; Heuer, Norbert
2006
$$hp$$-adaptive two-level methods for boundary integral equations on curves. Zbl 0995.65122
Heuer, N.; Mellado, M. E.; Stephan, E. P.
2001
Exponential convergence of the $$hp$$-version for the boundary element method on open surfaces. Zbl 0946.65120
Heuer, Norbert; Maischak, Matthias; Stephan, Ernst P.
1999
On the $$h$$-$$p$$ version of the boundary element method for Symm’s integral equation on polygons. Zbl 0842.65076
Ervin, V. J.; Heuer, N.; Stephan, E. P.
1993
A dual-dual formulation for the coupling of mixed FEM and BEM in hyperelasticity. Zbl 0992.74068
Gatica, Gabriel N.; Heuer, Norbert
2000
An adaptive boundary element method for the exterior Stokes problem in three dimensions. Zbl 1096.65120
Ervin, Vincent J.; Heuer, Norbert
2006
A robust DPG method for singularly perturbed reaction-diffusion problems. Zbl 1362.65125
Heuer, Norbert; Karkulik, Michael
2017
On the equivalence of fractional-order Sobolev semi-norms. Zbl 1320.46029
Heuer, Norbert
2014
The $$hp$$-version of the boundary element method with quasi-uniform meshes in three dimensions. Zbl 1154.41300
Bespalov, Alexei; Heuer, Norbert
2008
The boundary element method with Lagrangian multipliers. Zbl 1179.65152
Gatica, Gabriel N.; Healey, Martin; Heuer, Norbert
2009
On the finite element method for elliptic problems with degenerate and singular coefficients. Zbl 1112.65116
Arroyo, Daniel; Bespalov, Alexei; Heuer, Norbert
2007
An expanded mixed finite element approach via a dual-dual formulation and the minimum residual method. Zbl 1014.65118
Gatica, Gabriel N.; Heuer, Norbert
2001
A priori and a posteriori error analysis of an augmented mixed finite element method for incompressible fluid flows. Zbl 1194.76115
Figueroa, Leonardo E.; Gatica, Gabriel N.; Heuer, Norbert
2008
Approximation of time-dependent, viscoelastic fluid flow: Crank-Nicolson, finite element approximation. Zbl 1037.76041
Ervin, Vincent J.; Heuer, Norbert
2004
Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation. Zbl 1348.65172
Feischl, Michael; Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Praetorius, Dirk
2015
Convergence of the natural $$hp$$-BEM for the electric field integral equation on polyhedral surfaces. Zbl 1223.65083
Bespalov, A.; Heuer, N.; Hiptmair, R.
2010
The optimal rate of convergence of the $$p$$-version of the boundary element method in two dimensions. Zbl 1060.65117
Guo, Benqi; Heuer, Nobert
2004
The optimal convergence of the $$h$$-$$p$$ version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains. Zbl 1103.65109
Guo, Benqi; Heuer, Norbert
2006
Iterative substructuring for hypersingular integral equations in $$\mathbb R^3$$. Zbl 0923.65086
Heuer, Norbert; Stephan, Ernst P.
1999
Crouzeix-Raviart boundary elements. Zbl 1171.65086
Heuer, Norbert; Sayas, Francisco-Javier
2009
The $$p$$-version of the boundary element method for hypersingular operators on piecewise plane open surfaces. Zbl 1082.65129
Bespalov, Alexei; Heuer, Norbert
2005
An $$hp$$-adaptive refinement strategy for hypersingular operators on surfaces. Zbl 0999.65139
Heuer, Norbert
2002
A $$p$$-adaptive algorithm for the BEM with the hypersingular operator on the plane screen. Zbl 0996.65128
Heuer, Norbert; Mellado, Mario E.; Stephan, Ernst P.
2002
The $$hp$$-version of the boundary element method on polygons. Zbl 0888.65121
Heuer, N.; Stephan, E. P.
1996
A Nitsche-based domain decomposition method for hypersingular integral equations. Zbl 1250.65148
Chouly, Franz; Heuer, Norbert
2012
An additive Schwarz method for the $$h$$-$$p$$ version of the boundary element method for hypersingular integral equations in $$\mathbb{R}^3$$. Zbl 0978.65110
Heuer, Norbert; Stephan, Ernst P.
2001
Multilevel additive Schwarz method for the $$h$$-$$p$$ version of the Galerkin boundary element method. Zbl 0891.65122
Heuer, Norbert; Stephan, Ernst P.; Tran, Thanh
1998
An implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics. Zbl 0985.65138
Gatica, Gabriel N.; Heuer, Norbert; Stephan, Ernst P.
2001
Preconditioned minimum residual iteration for the $$h$$–$$p$$ version of the coupled FEM/BEM with quasi-uniform meshes. Zbl 0983.65128
Heuer, Norbert; Maischak, Matthias; Stephan, Ernst P.
1999
Note on discontinuous trace approximation in the practical DPG method. Zbl 1364.65250
Heuer, Norbert; Karkulik, Michael; Sayas, Francisco-Javier
2014
Mortar boundary elements. Zbl 1217.65214
Healey, Martin; Heuer, Norbert
2010
A direct coupling of local discontinuous Galerkin and boundary element methods. Zbl 1208.65166
Gatica, Gabriel N.; Heuer, Norbert; Sayas, Francisco-Javier
2010
Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems. Zbl 1051.65106
Gatica, Gabriel N.; Heuer, Norbert
2001
Additive Schwarz methods for indefinite hypersingular integral equations in $${\mathbb{R}}^3$$ – the $$p$$-version. Zbl 1020.65100
Heuer, Norbert
1999
An iterative substructuring method for the $$p$$-version of the boundary element method for hypersingular integral operators in three dimensions. Zbl 0914.65114
Heuer, Norbert
1998
Boundary integral operators in countably normed spaces. Zbl 0898.65078
Heuer, Norbert; Stephan, Ernst P.
1998
The h-p version of the boundary element method for transmission problems with piecewise analytic data. Zbl 0854.65109
Guo, Benqi; Heuer, Norbert; Stephan, Ernst P.
1996
Robust coupling of DPG and BEM for a singularly perturbed transmission problem. Zbl 1405.65148
Führer, Thomas; Heuer, Norbert
2017
DPG method with optimal test functions for a fractional advection diffusion equation. Zbl 1398.65179
Ervin, Vincent J.; Führer, Thomas; Heuer, Norbert; Karkulik, Michael
2017
Discontinuous Petrov-Galerkin boundary elements. Zbl 1364.65268
Heuer, Norbert; Karkulik, Michael
2017
Discontinuous Galerkin $$hp$$-BEM with quasi-uniform meshes. Zbl 1408.65096
Heuer, Norbert; Meddahi, Salim
2013
Hilbert scales and Sobolev spaces defined by associated Legendre functions. Zbl 1223.46035
Domínguez, Víctor; Heuer, Norbert; Sayas, Francisco-Javier
2011
Natural $$p$$-BEM for the electric field integral equation on screens. Zbl 1231.78001
Bespalov, Alexei; Heuer, Norbert
2010
The $$hp$$-version of the boundary element method with quasi-uniform meshes for weakly singular operators on surfaces. Zbl 1196.65182
Bespalov, Alexei; Heuer, Norbert
2010
Conjugate gradient method for dual-dual mixed formulations. Zbl 1005.65130
Gatica, Gabriel N.; Heuer, Norbert
2002
A posteriori error estimates for a mixed-FEM formulation of a nonlinear elliptic problem. Zbl 0996.65114
Araya, Rodolfo; Barrios, Tomás P.; Gatica, Gabriel N.; Heuer, Norbert
2002
Efficient algorithms for the $$p$$-version of the boundary element method. Zbl 0872.65102
Heuer, Norbert
1996
On the DPG method for Signorini problems. Zbl 06983866
Führer, Thomas; Heuer, Norbert; Stephan, Ernst P.
2018
On the coupling of DPG and BEM. Zbl 1364.65248
Führer, Thomas; Heuer, Norbert; Karkulik, Michael
2017
A time-stepping DPG scheme for the heat equation. Zbl 1359.65200
Führer, Thomas; Heuer, Norbert; Sen Gupta, Jhuma
2017
The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: A priori error analysis. Zbl 1204.78030
Bespalov, Alexei; Heuer, Norbert
2010
An extension theorem for polynomials on triangles. Zbl 1175.65143
Heuer, Norbert; Leydecker, Florian
2008
The $$p$$-version of the boundary element method for weakly singular operators on piecewise plane open surfaces. Zbl 1117.65160
Bespalov, Alexei; Heuer, Norbert
2007
The $$p$$-version of the boundary element method for a three-dimensional crack problem. Zbl 1095.74047
Bespalov, Alexei; Heuer, Norbert
2005
Preconditioners for the $$p$$-version of the Galerkin method for a coupled finite element/boundary element system. Zbl 0896.65078
Heuer, Norbert; Stephan, Ernst P.
1998
Additive Schwarz methods for weakly singular integral equations in $$\mathbb{R}^ 3$$ - the $$p$$-version. Zbl 0881.65109
Heuer, Norbert
1996
Fully discrete DPG methods for the Kirchhoff-Love plate bending model. Zbl 1440.74198
Führer, Thomas; Heuer, Norbert
2019
An ultraweak formulation of the Kirchhoff-Love plate bending model and DPG approximation. Zbl 1416.74083
Führer, Thomas; Heuer, Norbert; Niemi, Antti H.
2019
Analysis of a non-symmetric coupling of interior penalty DG and BEM. Zbl 1307.65166
Heuer, Norbert; Sayas, Francisco-Javier
2015
Ultra-weak formulation of a hypersingular integral equation on polygons and DPG method with optimal test functions. Zbl 1344.65114
Heuer, Norbert; Pinochet, Felipe
2014
A posteriori error analysis for a boundary element method with nonconforming domain decomposition. Zbl 1297.65135
Domínguez, Catalina; Heuer, Norbert
2014
A mixed method for Dirichlet problems with radial basis functions. Zbl 1350.65124
Heuer, Norbert; Tran, Thanh
2013
Radial basis functions for the solution of hypersingular operators on open surfaces. Zbl 1247.65166
Heuer, Norbert; Tran, Thanh
2012
A new $$H$$(div)-conforming $${p}$$-interpolation operator in two dimensions. Zbl 1277.78031
Bespalov, Alexei; Heuer, Norbert
2011
An a posteriori error estimate for a linear-nonlinear transmission problem in plane elastostatics. Zbl 1168.65388
Barrientos, M. A.; Gatica, G. N.; Heuer, N.
2002
The Poincaré-Steklov operator within countably normed spaces. Zbl 0937.65120
Heuer, N.; Stephan, E. P.
2000
hp-versions of the boundary element method. Zbl 0938.65550
Heuer, Norbert
1992
Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods. Zbl 1420.65116
Bertrand, Fleurianne; Demkowicz, Leszek; Gopalakrishnan, Jay; Heuer, Norbert
2019
A DPG framework for strongly monotone operators. Zbl 1403.65129
Cantin, Pierre; Heuer, Norbert
2018
A nonconforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator. Zbl 1357.65281
Heuer, Norbert; Salmerón, Gredy
2017
Adaptive Crouzeix-Raviart boundary element method. Zbl 1326.65166
Heuer, Norbert; Karkulik, Michael
2015
Coupling of mixed finite element and stabilized boundary element methods for a fluid-solid interaction problem in 3D. Zbl 1308.74147
Gatica, Gabriel N.; Heuer, Norbert; Meddahi, Salim
2014
Natural $$hp$$-BEM for the electric field integral equation with singular solutions. Zbl 1260.65106
Bespalov, Alexei; Heuer, Norbert
2012
Optimal error estimation for $$\mathbf {H}(\text{curl})$$-conforming $$p$$-interpolation in two dimensions. Zbl 1203.65229
Bespalov, Alexei; Heuer, Norbert
2009
Coupling of the finite element and boundary element method – the h-p version. Zbl 0763.65087
Heuer, N.; Stephan, E. P.
1991
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. Zbl 1443.74223
Führer, Thomas; Heuer, Norbert; Sayas, Francisco-Javier
2020
Optimal quasi-diagonal preconditioners for pseudodifferential operators of order minus two. Zbl 1417.65213
Führer, Thomas; Heuer, Norbert
2019
Symmetric coupling of LDG-FEM and DG-BEM. Zbl 1354.65247
Heuer, Norbert; Meddahi, Salim; Sayas, Francisco-Javier
2016
An iterative substructuring method for the $$hp$$-version of the BEM on quasi-uniform triangular meshes. Zbl 1125.65112
Heuer, Norbert; Leydecker, Florian; Stephan, Ernst P.
2007
An overlapping domain decomposition preconditioner for high order BEM with anisotropic elements. Zbl 1020.65093
Heuer, Norbert; Stephan, Ernst P.
2003
A preconditioned MINRES method for the coupling of mixed-FEM and BEM for some nonlinear problems. Zbl 1018.65130
Gatica, Gabriel N.; Heuer, Norbert
2002
The $$hp$$-version of the boundary element method. Zbl 0806.65114
Heuer, N.; Stephan, E. P.
1994
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. Zbl 1443.74223
Führer, Thomas; Heuer, Norbert; Sayas, Francisco-Javier
2020
Fully discrete DPG methods for the Kirchhoff-Love plate bending model. Zbl 1440.74198
Führer, Thomas; Heuer, Norbert
2019
An ultraweak formulation of the Kirchhoff-Love plate bending model and DPG approximation. Zbl 1416.74083
Führer, Thomas; Heuer, Norbert; Niemi, Antti H.
2019
Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods. Zbl 1420.65116
Bertrand, Fleurianne; Demkowicz, Leszek; Gopalakrishnan, Jay; Heuer, Norbert
2019
Optimal quasi-diagonal preconditioners for pseudodifferential operators of order minus two. Zbl 1417.65213
Führer, Thomas; Heuer, Norbert
2019
Regularity of the solution to 1-D fractional order diffusion equations. Zbl 1394.65145
Ervin, V. J.; Heuer, N.; Roop, J. P.
2018
On the DPG method for Signorini problems. Zbl 06983866
Führer, Thomas; Heuer, Norbert; Stephan, Ernst P.
2018
A DPG framework for strongly monotone operators. Zbl 1403.65129
Cantin, Pierre; Heuer, Norbert
2018
A robust DPG method for singularly perturbed reaction-diffusion problems. Zbl 1362.65125
Heuer, Norbert; Karkulik, Michael
2017
Robust coupling of DPG and BEM for a singularly perturbed transmission problem. Zbl 1405.65148
Führer, Thomas; Heuer, Norbert
2017
DPG method with optimal test functions for a fractional advection diffusion equation. Zbl 1398.65179
Ervin, Vincent J.; Führer, Thomas; Heuer, Norbert; Karkulik, Michael
2017
Discontinuous Petrov-Galerkin boundary elements. Zbl 1364.65268
Heuer, Norbert; Karkulik, Michael
2017
On the coupling of DPG and BEM. Zbl 1364.65248
Führer, Thomas; Heuer, Norbert; Karkulik, Michael
2017
A time-stepping DPG scheme for the heat equation. Zbl 1359.65200
Führer, Thomas; Heuer, Norbert; Sen Gupta, Jhuma
2017
A nonconforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator. Zbl 1357.65281
Heuer, Norbert; Salmerón, Gredy
2017
Symmetric coupling of LDG-FEM and DG-BEM. Zbl 1354.65247
Heuer, Norbert; Meddahi, Salim; Sayas, Francisco-Javier
2016
Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation. Zbl 1348.65172
Feischl, Michael; Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Praetorius, Dirk
2015
Analysis of a non-symmetric coupling of interior penalty DG and BEM. Zbl 1307.65166
Heuer, Norbert; Sayas, Francisco-Javier
2015
Adaptive Crouzeix-Raviart boundary element method. Zbl 1326.65166
Heuer, Norbert; Karkulik, Michael
2015
A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms. Zbl 1350.65120
Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek
2014
On the equivalence of fractional-order Sobolev semi-norms. Zbl 1320.46029
Heuer, Norbert
2014
Note on discontinuous trace approximation in the practical DPG method. Zbl 1364.65250
Heuer, Norbert; Karkulik, Michael; Sayas, Francisco-Javier
2014
Ultra-weak formulation of a hypersingular integral equation on polygons and DPG method with optimal test functions. Zbl 1344.65114
Heuer, Norbert; Pinochet, Felipe
2014
A posteriori error analysis for a boundary element method with nonconforming domain decomposition. Zbl 1297.65135
Domínguez, Catalina; Heuer, Norbert
2014
Coupling of mixed finite element and stabilized boundary element methods for a fluid-solid interaction problem in 3D. Zbl 1308.74147
Gatica, Gabriel N.; Heuer, Norbert; Meddahi, Salim
2014
Robust DPG method for convection-dominated diffusion problems. Zbl 1290.65088
Demkowicz, Leszek; Heuer, Norbert
2013
Discontinuous Galerkin $$hp$$-BEM with quasi-uniform meshes. Zbl 1408.65096
Heuer, Norbert; Meddahi, Salim
2013
A mixed method for Dirichlet problems with radial basis functions. Zbl 1350.65124
Heuer, Norbert; Tran, Thanh
2013
A Nitsche-based domain decomposition method for hypersingular integral equations. Zbl 1250.65148
Chouly, Franz; Heuer, Norbert
2012
Radial basis functions for the solution of hypersingular operators on open surfaces. Zbl 1247.65166
Heuer, Norbert; Tran, Thanh
2012
Natural $$hp$$-BEM for the electric field integral equation with singular solutions. Zbl 1260.65106
Bespalov, Alexei; Heuer, Norbert
2012
Hilbert scales and Sobolev spaces defined by associated Legendre functions. Zbl 1223.46035
Domínguez, Víctor; Heuer, Norbert; Sayas, Francisco-Javier
2011
A new $$H$$(div)-conforming $${p}$$-interpolation operator in two dimensions. Zbl 1277.78031
Bespalov, Alexei; Heuer, Norbert
2011
Convergence of the natural $$hp$$-BEM for the electric field integral equation on polyhedral surfaces. Zbl 1223.65083
Bespalov, A.; Heuer, N.; Hiptmair, R.
2010
Mortar boundary elements. Zbl 1217.65214
Healey, Martin; Heuer, Norbert
2010
A direct coupling of local discontinuous Galerkin and boundary element methods. Zbl 1208.65166
Gatica, Gabriel N.; Heuer, Norbert; Sayas, Francisco-Javier
2010
Natural $$p$$-BEM for the electric field integral equation on screens. Zbl 1231.78001
Bespalov, Alexei; Heuer, Norbert
2010
The $$hp$$-version of the boundary element method with quasi-uniform meshes for weakly singular operators on surfaces. Zbl 1196.65182
Bespalov, Alexei; Heuer, Norbert
2010
The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: A priori error analysis. Zbl 1204.78030
Bespalov, Alexei; Heuer, Norbert
2010
The boundary element method with Lagrangian multipliers. Zbl 1179.65152
Gatica, Gabriel N.; Healey, Martin; Heuer, Norbert
2009
Crouzeix-Raviart boundary elements. Zbl 1171.65086
Heuer, Norbert; Sayas, Francisco-Javier
2009
Optimal error estimation for $$\mathbf {H}(\text{curl})$$-conforming $$p$$-interpolation in two dimensions. Zbl 1203.65229
Bespalov, Alexei; Heuer, Norbert
2009
The $$hp$$-version of the boundary element method with quasi-uniform meshes in three dimensions. Zbl 1154.41300
Bespalov, Alexei; Heuer, Norbert
2008
A priori and a posteriori error analysis of an augmented mixed finite element method for incompressible fluid flows. Zbl 1194.76115
Figueroa, Leonardo E.; Gatica, Gabriel N.; Heuer, Norbert
2008
An extension theorem for polynomials on triangles. Zbl 1175.65143
Heuer, Norbert; Leydecker, Florian
2008
Numerical approximation of a time dependent, nonlinear, space-fractional diffusion equation. Zbl 1141.65089
Ervin, Vincent J.; Heuer, Norbert; Roop, John Paul
2007
On the finite element method for elliptic problems with degenerate and singular coefficients. Zbl 1112.65116
Arroyo, Daniel; Bespalov, Alexei; Heuer, Norbert
2007
The $$p$$-version of the boundary element method for weakly singular operators on piecewise plane open surfaces. Zbl 1117.65160
Bespalov, Alexei; Heuer, Norbert
2007
An iterative substructuring method for the $$hp$$-version of the BEM on quasi-uniform triangular meshes. Zbl 1125.65112
Heuer, Norbert; Leydecker, Florian; Stephan, Ernst P.
2007
A residual-based a posteriori error estimator for an augmented mixed finite element method in linear elasticity. Zbl 1109.74047
Barrios, Tomás P.; Gatica, Gabriel N.; González, María; Heuer, Norbert
2006
An adaptive boundary element method for the exterior Stokes problem in three dimensions. Zbl 1096.65120
Ervin, Vincent J.; Heuer, Norbert
2006
The optimal convergence of the $$h$$-$$p$$ version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains. Zbl 1103.65109
Guo, Benqi; Heuer, Norbert
2006
The $$p$$-version of the boundary element method for hypersingular operators on piecewise plane open surfaces. Zbl 1082.65129
Bespalov, Alexei; Heuer, Norbert
2005
The $$p$$-version of the boundary element method for a three-dimensional crack problem. Zbl 1095.74047
Bespalov, Alexei; Heuer, Norbert
2005
Approximation of time-dependent, viscoelastic fluid flow: Crank-Nicolson, finite element approximation. Zbl 1037.76041
Ervin, Vincent J.; Heuer, Norbert
2004
The optimal rate of convergence of the $$p$$-version of the boundary element method in two dimensions. Zbl 1060.65117
Guo, Benqi; Heuer, Nobert
2004
On the numerical analysis of nonlinear twofold saddle point problems. Zbl 1028.65128
Gatica, Gabriel N.; Heuer, Norbert; Meddahi, Salim
2003
An overlapping domain decomposition preconditioner for high order BEM with anisotropic elements. Zbl 1020.65093
Heuer, Norbert; Stephan, Ernst P.
2003
An $$hp$$-adaptive refinement strategy for hypersingular operators on surfaces. Zbl 0999.65139
Heuer, Norbert
2002
A $$p$$-adaptive algorithm for the BEM with the hypersingular operator on the plane screen. Zbl 0996.65128
Heuer, Norbert; Mellado, Mario E.; Stephan, Ernst P.
2002
Conjugate gradient method for dual-dual mixed formulations. Zbl 1005.65130
Gatica, Gabriel N.; Heuer, Norbert
2002
A posteriori error estimates for a mixed-FEM formulation of a nonlinear elliptic problem. Zbl 0996.65114
Araya, Rodolfo; Barrios, Tomás P.; Gatica, Gabriel N.; Heuer, Norbert
2002
An a posteriori error estimate for a linear-nonlinear transmission problem in plane elastostatics. Zbl 1168.65388
Barrientos, M. A.; Gatica, G. N.; Heuer, N.
2002
A preconditioned MINRES method for the coupling of mixed-FEM and BEM for some nonlinear problems. Zbl 1018.65130
Gatica, Gabriel N.; Heuer, Norbert
2002
Additive Schwarz method for the $$p$$-version of the boundary element method for the single layer potential operator on a plane screen. Zbl 1003.65137
Heuer, Norbert
2001
$$hp$$-adaptive two-level methods for boundary integral equations on curves. Zbl 0995.65122
Heuer, N.; Mellado, M. E.; Stephan, E. P.
2001
An expanded mixed finite element approach via a dual-dual formulation and the minimum residual method. Zbl 1014.65118
Gatica, Gabriel N.; Heuer, Norbert
2001
An additive Schwarz method for the $$h$$-$$p$$ version of the boundary element method for hypersingular integral equations in $$\mathbb{R}^3$$. Zbl 0978.65110
Heuer, Norbert; Stephan, Ernst P.
2001
An implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics. Zbl 0985.65138
Gatica, Gabriel N.; Heuer, Norbert; Stephan, Ernst P.
2001
Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems. Zbl 1051.65106
Gatica, Gabriel N.; Heuer, Norbert
2001
A dual-dual formulation for the coupling of mixed FEM and BEM in hyperelasticity. Zbl 0992.74068
Gatica, Gabriel N.; Heuer, Norbert
2000
The Poincaré-Steklov operator within countably normed spaces. Zbl 0937.65120
Heuer, N.; Stephan, E. P.
2000
Exponential convergence of the $$hp$$-version for the boundary element method on open surfaces. Zbl 0946.65120
Heuer, Norbert; Maischak, Matthias; Stephan, Ernst P.
1999
Iterative substructuring for hypersingular integral equations in $$\mathbb R^3$$. Zbl 0923.65086
Heuer, Norbert; Stephan, Ernst P.
1999
Preconditioned minimum residual iteration for the $$h$$–$$p$$ version of the coupled FEM/BEM with quasi-uniform meshes. Zbl 0983.65128
Heuer, Norbert; Maischak, Matthias; Stephan, Ernst P.
1999
Additive Schwarz methods for indefinite hypersingular integral equations in $${\mathbb{R}}^3$$ – the $$p$$-version. Zbl 1020.65100
Heuer, Norbert
1999
Multilevel additive Schwarz method for the $$h$$-$$p$$ version of the Galerkin boundary element method. Zbl 0891.65122
Heuer, Norbert; Stephan, Ernst P.; Tran, Thanh
1998
An iterative substructuring method for the $$p$$-version of the boundary element method for hypersingular integral operators in three dimensions. Zbl 0914.65114
Heuer, Norbert
1998
Boundary integral operators in countably normed spaces. Zbl 0898.65078
Heuer, Norbert; Stephan, Ernst P.
1998
Preconditioners for the $$p$$-version of the Galerkin method for a coupled finite element/boundary element system. Zbl 0896.65078
Heuer, Norbert; Stephan, Ernst P.
1998
The $$hp$$-version of the boundary element method on polygons. Zbl 0888.65121
Heuer, N.; Stephan, E. P.
1996
The h-p version of the boundary element method for transmission problems with piecewise analytic data. Zbl 0854.65109
Guo, Benqi; Heuer, Norbert; Stephan, Ernst P.
1996
Efficient algorithms for the $$p$$-version of the boundary element method. Zbl 0872.65102
Heuer, Norbert
1996
Additive Schwarz methods for weakly singular integral equations in $$\mathbb{R}^ 3$$ - the $$p$$-version. Zbl 0881.65109
Heuer, Norbert
1996
The $$hp$$-version of the boundary element method. Zbl 0806.65114
Heuer, N.; Stephan, E. P.
1994
On the $$h$$-$$p$$ version of the boundary element method for Symm’s integral equation on polygons. Zbl 0842.65076
Ervin, V. J.; Heuer, N.; Stephan, E. P.
1993
hp-versions of the boundary element method. Zbl 0938.65550
Heuer, Norbert
1992
Coupling of the finite element and boundary element method – the h-p version. Zbl 0763.65087
Heuer, N.; Stephan, E. P.
1991
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#### Cited by 678 Authors

 52 Heuer, Norbert 51 Gatica, Gabriel N. 32 Wang, Hong 28 Stephan, Ernst Peter 19 Führer, Thomas 17 Demkowicz, Leszek F. 17 Karkulik, Michael 17 Praetorius, Dirk 16 Meddahi, Salim 16 Zheng, Xiangcheng 14 Sayas, Francisco-Javier 11 Maischak, Matthias 11 Marquez-Duran, Antonio M. 10 Ruiz-Baier, Ricardo 9 Bespalov, Alexei 9 Carstensen, Carsten 9 Oyarzúa, Ricardo 8 Ervin, Vincent J. 8 Feischl, Michael 8 Hao, Zhaopeng 8 Liu, Fawang 7 Barrios, Tomás P. 7 González, María Paula 7 Turner, Ian William 6 Chan, Jesse 6 Deng, Weihua 6 Funken, Stefan A. 6 Gatica, Luis F. 6 Guo, Benqi 6 Karniadakis, George Em 6 Mao, Zhiping 5 Bustinza, Rommel A. 5 Du, Ning 5 Ferraz-Leite, Samuel 5 Li, Changpin 5 Rukavishnikov, Viktor Anatol’evich 5 Sun, Zhizhong 5 Tang, Yifa 5 Zhao, Zhengang 4 Aurada, Markus 4 Calo, Victor Manuel 4 Cao, Wanrong 4 Chen, Huanzhen 4 Gu, Yuantong 4 Hiptmair, Ralf 4 Hsiao, George C. 4 Jia, Jinhong 4 Jiang, Xiaoyun 4 Keith, Brendan 4 Li, Can 4 Melenk, Jens Markus 4 Muga, Ignacio 4 Roberts, Nathan V. 4 Sequeira, Filánder A. 4 Wang, Lilian 4 Wei, LeiLei 4 Yan, Yubin 3 Anaya, Verónica 3 Babolian, Esmail 3 Behrens, Edwin M. 3 Bu, Weiping 3 Cai, Zhiqiang 3 Erath, Christoph 3 Erfani, Shervan 3 Frymark, Dale 3 Fu, Hongfei 3 Fuentes, Federico 3 Goldenits, Petra 3 Gopalakrishnan, Jayadeep 3 Gu, Xian-Ming 3 Howell, Jason S. 3 Huang, Jianfei 3 Javadi, Shahnam 3 Jin, Xiaoqing 3 Khaliq, Abdul Q. M. 3 Lei, Siulong 3 Leydecker, Florian 3 Liu, Huan 3 Lu, Shujuan 3 Mao, Shipeng 3 Mora, David 3 Of, Günther 3 Qiu, Weifeng 3 Rebholz, Leo G. 3 Ren, Jincheng 3 Shen, Jie 3 Stevenson, Rob P. 3 Sun, Haiwei 3 Tierra, Giordano 3 van der Zee, Kristoffer George 3 Wang, Kaixin 3 Wu, Yujiang 3 Yang, Jiye 3 Zhang, Zhiyue 3 Zheng, Yunying 3 Zhuang, Pinghui 2 Aghdam, Y. Esmaeelzade 2 Alberico, Angela 2 Alvarez, Mario M. 2 Arbogast, Todd ...and 578 more Authors
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#### Cited in 93 Serials

 56 Computers & Mathematics with Applications 39 Computer Methods in Applied Mechanics and Engineering 34 Journal of Computational Physics 30 Applied Numerical Mathematics 26 Numerische Mathematik 25 Journal of Computational and Applied Mathematics 23 Mathematics of Computation 23 Journal of Scientific Computing 22 Applied Mathematics and Computation 20 Numerical Methods for Partial Differential Equations 18 SIAM Journal on Numerical Analysis 9 Numerical Algorithms 8 Journal of Mathematical Analysis and Applications 8 SIAM Journal on Scientific Computing 7 Advances in Computational Mathematics 7 Computational Methods in Applied Mathematics 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Computational Mechanics 6 Journal of Integral Equations and Applications 6 Computational and Applied Mathematics 6 Abstract and Applied Analysis 5 Computing 5 Numerical Functional Analysis and Optimization 5 Engineering Analysis with Boundary Elements 4 Applicable Analysis 4 International Journal for Numerical Methods in Fluids 4 BIT 4 Applied Mathematical Modelling 4 East Asian Journal on Applied Mathematics 4 Communications on Applied Mathematics and Computation 3 Calcolo 3 Fractional Calculus & Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series B 3 International Journal of Computational Methods 3 Advances in Difference Equations 2 Mathematical Methods in the Applied Sciences 2 International Journal for Numerical Methods in Engineering 2 Journal of Approximation Theory 2 Journal of Differential Equations 2 Mathematics and Computers in Simulation 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 International Journal of Computer Mathematics 2 Numerical Linear Algebra with Applications 2 Discrete Dynamics in Nature and Society 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Journal of Numerical Mathematics 2 Mathematics 1 Computers and Fluids 1 Journal of Statistical Physics 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Acta Mathematica Vietnamica 1 Integral Equations and Operator Theory 1 Zeitschrift für Analysis und ihre Anwendungen 1 Stochastic Analysis and Applications 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Statistical Computation and Simulation 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Inverse and Ill-Posed Problems 1 ETNA. Electronic Transactions on Numerical Analysis 1 Integral Transforms and Special Functions 1 Complexity 1 Mathematical Problems in Engineering 1 Computing and Visualization in Science 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Computational Geosciences 1 Optimization and Engineering 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Journal of Applied Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Journal of Statistical Mechanics: Theory and Experiment 1 Oberwolfach Reports 1 Boundary Value Problems 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 ISRN Mathematical Analysis 1 Analysis and Mathematical Physics 1 ISRN Applied Mathematics 1 Communications in Mathematics 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Journal of Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Results in Applied Mathematics
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#### Cited in 34 Fields

 469 Numerical analysis (65-XX) 277 Partial differential equations (35-XX) 92 Fluid mechanics (76-XX) 56 Mechanics of deformable solids (74-XX) 29 Real functions (26-XX) 29 Integral equations (45-XX) 27 Ordinary differential equations (34-XX) 24 Optics, electromagnetic theory (78-XX) 21 Approximations and expansions (41-XX) 15 Functional analysis (46-XX) 12 Operator theory (47-XX) 10 Special functions (33-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Probability theory and stochastic processes (60-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 Difference and functional equations (39-XX) 3 Systems theory; control (93-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)