Norbert Heuer

Dr. rer. nat., Universität Hannover, Alemania, 1992.
Profesor Titular. Departamento de Matemática.
Oficina 138.
Teléfono 22354-5921.
nheuer@mat.puc.cl
http://www.mat.uc.cl/~nheuer

Resumen

Mi área de investigación es el análisis numérico.
Más detalles e informaciones se encuentran en mi página web personal (dirección arriba).

Publicaciones

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

Heuer Norbert, Salmerón Gredy , A non-conforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator, Numerical Methods for Partial Differential Equations,2017.

Heuer Norbert, Meddahi Salim, Sayas Francisco-Javier , Symmetric coupling of LDG-FEM and DG-BEM, Journal of Scientific Computing, Journal of Scientific Computing, vol.68:303-325,2016.

Feischl, Michael; Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Praetorius, Dirk, Adaptive boundary element methods, Archives of Computational Methods in Engineering. State of the Art Reviews , vol.22(3):309-389,2015.

Heuer, Norbert; Sayas, Francisco-Javier, Analysis of a non-symmetric coupling of interior penalty DG and BEM, Mathematics of Computation , vol.84:581-598,2015.

Heuer, Norbert; Karkulik, Michael, Adaptive Crouzeix-Raviart boundary element method, SAIM. Mathematical Modelling and Numerical Analysis , vol.49(4):1193-1217,2015.

Heuer, Norbert; Karkulik, Michael, DPG method with optimal test functions for a transmission problem, Computers & Mathematics with Applications. An International Journal , vol.70(5):1070-1081,2015.

Heuer, Norbert, On the equivalence of fractional-order Sobolev semi-norms, Journal of Mathematical Analysis and Applications , vol.417:505-518,2014.

Heuer, Norbert; Pinochet, Felipe, Ultra-weak formulation of a hypersingular integral equation on polygons and DPG method with optimal test functions, SIAM Journal on Numerical Analysis , vol.52:2703-2721,2014.

Gatica, Gabriel N.; Heuer, Norbert; Meddahi, Salim, Coupling of mixed finite element and stabilized boundary element methods for a fluid-solid interaction problem in 3D, Numerical Methods for Partial Differential Equations. An International Journal , vol.30:1211-1233,2014.

Heuer, Norbert; Karkulik, Michael; Sayas, Francisco-Javier, Note on discontinuous trace approximation in the practical DPG method, Computers & Mathematics with Applications. An International Journal , vol.68:1562-1568,2014.

Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek, A robust DPG method for convection-dominated diffusion problems II: adjoint boundary conditions and mesh-dependent test norms, Computers & Mathematics with Applications. An International Journal, vol.67:771-795,2014.

Domínguez, Catalina; Heuer, Norbert, A posteriori error analysis for a boundary element method with nonconforming domain decomposition, Numerical Methods for Partial Differential Equations, vol.30:947-963,2014.

Demkowicz, Leszek; Heuer, Norbert, Robust DPG method for convection-dominated diffusion problems, SIAM Journal on Numerical Analysis , vol.51:2514-2537,2013.

Heuer, Norbert; Meddahi, Salim, Discontinuous Galerkin hp-BEM with quasi-uniform meshes, Numerische Mathematik , vol.125:679-703,2013.

Heuer, Norbert; Tran, Thanh, A mixed method for Dirichlet problems with radial basis functions, Computers & Mathematics with Applications. An International Journal, vol.66:2045-2055,2013.

Heuer, Norbert; Tran, Thanh, Radial basis functions for the solution of hypersingular operators on open surfaces, Computers & Mathematics with Applications, vol.63:1504-1518,2012.

Chouly, F. and Heuer, N., A Nitsche-based domain decomposition method for hypersingular integral equations, Numerische Mathematik , vol.121:705-729,2012.

Bespalov, A. and Heuer, N. , Natural hp-BEM for the electric field integral equation with singular solutions, Numerical Methods for Partial Differential Equations, vol.28:1466-1480   ,2012.

Bespalov, A. and Heuer, N., A new H(div)-conforming p-interpolation operator in two dimensions, Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique, vol.45(1227):255-275,2011.

Dominguez, Victor; Heuer, Norbert; Sayas, Francisco-Javier, Hilbert scales and Sobolev spaces defined by associated Legendre functions, Journal of Computational and Applied Mathematics, vol.235(12):3481-3501,2011.

Bespalov, A. and Heuer, N., Natural p-BEM for the electric field integral equations on screens, IMA Journal of Numerical Analysis, vol.30(1189):595-628,2010.

Bespalov, A. and Heuer, N., The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: A priori error analysis, Applied Numerical Mathematics, vol.60(1190):705-718,2010.

Bespalov, A. and Heuer, N., The hp-version of the boundary element method with quasi-uniform meshes for weakly singular operators on surfaces, IMA Journal of Numerical Analysis, vol.30(1191):377-400,2010.

Gatica GN., Heuer N., Sayas FJ., A direct coupling of local discontinuous galerkin and boundary element methods, Mathematic of Computation, vol.79(1147):1369-1394,2010.

Healey, M. and Heuer, N., Mortar boundary elements, SIAM Journal on Numerical Analysis, vol.48(1142):1395-1418,2010.

Bespalov, A. and Heuer, N. and Hiptmair, R., Convergence of the natural hp-BEM for the electric field integral equation on polyhedral surfaces, SIAM Journal on Numerical Analysis, vol.48(1188):1518-1529,2010.

Carstensen, C. and Heuer, N. and Maischak, M., Special issue boundary elements - theory and applications dedicated to professor Ernst P. Stephan on the occasion of his 60th birthday preface, Applied Numerical Mathematics, vol.59(1082):2695-2697,2009.

Bespalov, A. and Heuer, N., Optimal error estimation for H(curl)-conforming $p$-interpolation in two dimensions, SIAM Journal Numerical Analysis, vol.47(1093):3977-3989,2009.

Heuer, N. and Sayas, FJ., Crouzeix-raviart boundary elements, Numerische Mathematik, vol.112(1056):381-401,2009.

Gatica, GN. and Healey, M. and Heuer, N., The boundary element method with lagrangian multipliers, Numerical Methods for Partial Differential Equations, vol.25(1059):1303-1319,2009.

Heuer, N. and Leydecker, F., An extension theorem for polynomials on triangles, Calcolo, vol.45(982):69-85,2008.

Figueroa, L E. and Gatica, G N. and Heuer, N., A priori and a posteriori error analysis of an augmented mixed finite element method for incompressible fluid flows, Computer Methods in Applied Mechanics and Engineering, vol.198(989):280-291,2008.

Bespalov, A. and Heuer, N., The hp-version of the boundary element method with quasi-uniform meshes in three dimensions, Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique, vol.42(1011):821-849,2008.

Heuer, N. and Leydecker, F. and Stephan, EP., An iterative substructuring method for the hp-version of the BEM on quasi-uniform triangular meshes, Numerical Methods for Partial Differential Equations, vol.23(899):879-903,2007.

Bespalov, A. and Heuer, N., The p-version of the boundary element method for weakly singular operators on piecewise plane open surfaces, Numerische Mathematik, vol.106(936):69-97,2007.

Ervin, VJ. and Heuer, N. and Roop, JP., Numerical approximation of a time dependent, nonlinear, space-fractional diffusion equation, SIAM Journal on Numerical Analysis, vol.45(913):572-591,2007.

Arroyo, D. and Bespalov, A. and Heuer, N., On the finite element method for elliptic problems with degenerate and singular coefficients, Mathematics of Computation, vol.76(939):509-537,2007.

Gatica, GN. and Heuer, N. and Rodríguez, R., Selected papers from the first chilean workshop on numerical analysis of partial differential equations (WONAPDE 2004) - Preface, Applied Numerical Mathematics, vol.56(824):1255,2006.

Barrios, TP. and Gatica, GN. and González, M. and Heuer, N., A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity, Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique, vol.40(849):843-869,2006.

Guo, BQ. and Heuer, N., The optimal convergence of the h-p version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains, Advances in Computational Mathematics, vol.24(822):353-374,2006.

Ervin, VJ. and Heuer, N., An adaptive boundary element method for the exterior Stokes problem in three dimensions, Ima Journal of Numerical Analysis, vol.26(831):297-325,2006.

Bespalov, A. and Heuer, N., The p-version of the boundary element method for hypersingular operators on piecewise plane open surfaces, Numerische Mathematik, vol.100(774):185-209,2005.

Bespalov, A. and Heuer, N., The p-version of the boundary element method for mixed boundary value problems on polyhedra, Advances in Boundary Integral Methods(775):145-152,2005.

Bespalov, A. and Heuer, N., The p-version of the boundary element method for a three-dimensional crack problem, Journal Integral Equations Applications, vol.17(773):243-258,2005.

Ervin, VJ. and Heuer, N., Approximation of time-dependent, viscoelastic fluid flow: Crank-Nicolson, finite element approximation, Numerical Methods for Partial Differential Equations, vol.20(702):248-283,2004.

Guo, BQ. and Heuer, N., The optimal rate of convergence of the p-version of the boundary element method in two dimensions, Numerische Mathematik, vol.98(691):499-538,2004.

Bespalov, A. and Heuer, N., Optimal a priori error estimate for the p-version of the BEM on open surfaces, International Conference on Computational Mathematics(715):794-799,2004.

Gatica, GN. and Heuer, N. and Meddahi, S., On the numerical analysis of nonlinear twofold saddle point problems, Ima Journal of Numerical Analysis, vol.23(626):301-330,2003.

Heuer, N. and Stephan, EP., An overlapping domain decomposition preconditioner for high order BEM with anisotropic elements, Advances in Computational Mathematics, vol.19(625):211-230,2003.

Heuer, N., An hp-adaptive refinement strategy for hypersingular operators on surfaces, Nunmericla Methods for Partial Differential Equations, vol.18(564):396-419,2002.

Barrientos, MA. and Gatica, GN. and Heuer, N., An a posteriori error estimate for a linear-nonlinear transmission problem in plane elastostatics, Calcolo, vol.39(585):61-86,2002.

Gatica, GN. and Heuer, N., Conjugate gradient method for dual-dual mixed formulations, Mathematic of Computation, vol.71(566):1455-1472,2002.

Gatica, GN. and Heuer, N., A preconditioned MINRES method for the coupling of mixed-FEM and BEM for some nonlinear problems, SIAM Journal on Scientific Computing, vol.24(565):572-596,2002.

Heuer, N. and Mellado, ME. and Stephan, EP., A p-adaptive algorithm for the BEM with the hypersingular operator on the plane screen, International Journal for Numerical Methods in Engineering, vol.53(562):85-104,2002.

Araya, R. and Barrios, TP. and Gatica, GN. and Heuer, N., A posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem, Computer Methods in Applied Mechanics and Engineering, vol.191(591):2317-2336,2002.

Heuer, N., An hp-adaptive refinement strategy for hypersingular operators on surfaces, Numer. Methods Partial Differential Equations, vol.18(563):396-419,2002.

Gatica, GN. and Heuer, N. and Stephan, EP., An implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics, Mathematical Methods in the Applied Sciences, vol.24(514):179-191,2001.

Heuer, N. and Mellado, ME. and Stephan, EP., hp-adaptive two-level methods for boundary integral equations on curves, Computing, vol.67(511):305-334,2001.

Heuer, N. and Stephan, EP., An additive schwarz method for the h-p version of the boundary element method for hypersingular integral equations in R-3, IMA Journal of Numerical Analysis, vol.21(510):265-283,2001.

Heuer, N., Additive schwarz method for the p-version of the boundary element method for the single layer potential operator on a plane screen, Numerische Mathematik, vol.88(512):485-511,2001.

Gatica, GN. and Heuer, N., Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems, Nunmerical Linear Algebra with Applications, vol.8(516):147-164,2001.

Gatica, GN. and Heuer, N., An expanded mixed finite element approach via a dual-dual formulation and the minimum residual method, Journal of Computational and Applied Mathematics, vol.132(515):371-385,2001.

Heuer, N., An iterative substructuring method for the p-version of the boundary element method for hypersingular integral operators in three dimensions (vol 79, pg 371, 1998), Numerische Mathematik, vol.87(513):793-794,2001.

Heuer, N., Schwarz method for systems of boundary integral equations, Applied Numerical Mathematics, vol.33(469):447-453,2000.

Heuer, N. and Stephan, E. P., The poincare-steklov operator within countably normed spaces, Mathematical aspects of boundary element methods (Palaiseau, 1998), vol.414(468):152-164,2000.

Heuer, N., Fast solvers for indefinite boundary element systems in three dimensions., Zeitschrift fur Angewandte Mathematik und Mechanik, vol.79(428):899-900,1999.

Heuer, N., Additive schwarz methods for indefinite hypersingular integral equations in $bf R^3$-the $p$-version, Applied Analitical, vol.72(429):411-437,1999.

Heuer, N., Domain decomposition for indefinite weakly singular integral equations, Elevent Internationational Conference on Domain Decomposition Methods(430):256-263,1999.

Heuer, N. and Maischak, M. and Stephan, EP., Preconditioned minimum residual iteration for the $h$-$p$ version of the coupled FEM BEM with quasi-uniform meshes, Numerical Linear Algebra Application, vol.6(426):435--456,1999.

Heuer, N. and Maischak, M. and Stephan, EP., Exponential convergence of the $hp$-version for the boundary element method on open surfaces, Numerische Mathematik, vol.83(427):641--666,1999.

Heuer, N., Preconditioners for the boundary element method in three dimensions, Domain Decomposition Methods in Sciences and Engineering(372):130-137,1998.

Heuer, N. and Stephan, EP. and Tran, T., Multilevel additive schwarz method for the h-p version of the galerkin boundary element method, Mathematics of Computation, vol.67(369):501-518,1998.

Heuer, N. and Stephan, EP., Iterative substructuring for hypersingular integral equations in R-3, SIAM Journal on Scientific Computing, vol.20(370):739-749,1998.

Heuer, N. and Stephan, EP., Boundary integral operators in countably normed spaces, Mathematische Nachrichten, vol.191(371):123-151,1998.

Heuer, N., Preconditioners for the boundary element method for solving the electric screen problem, Analysis numerics and applications of differential and integral equations(373):106-110,1998.

Guo, B. and Heuer, N.and Stephan, E., The h-p version of the boundary element method for transmission problems with piecewise analytic data, SIAM Journal Numer. Anal., vol.33(306):789-808,1996.

Heuer, N. and Stephan, E. P., The hp-version of the boundary element method on polygons, Journal of Integral Equations Appl., vol.8(302):173-212,1996.

Hackbusch, W. and Wittum, G. and Heuer, N., Additive schwarz methods for weakly singular integral equations in R3-the p-version, Notes on Numerical Fluid Mechanics, vol.54(305):126-135,1996.

Heuer, N., Additive schwarz methods for weakly singular integral equations in old R^3-the p-version, Boundary elements: implementation and analysis of advanced algorithms (Kel, 1996), vol.54(303):126-135,1996.

Heuer, N., Efficient algorithms for the $p$-version of the boundary element method, Journal of Integral Equations Appl., vol.8(304):337-361,1996.

Heuer, N. and Stephan, EP., The HP version of the boundary-element method, Zeitschrift fur Angewandte Mathematik und Mechanik, vol.74(234):T511-T513,1994.

Ervin, VJ and Heuer, N. and Stephan, EP., On the H-P version of the boundary-element method for symms integral-equation on polygons, Computer Methods in Applied Mechanics and Engineering, vol.110(205):25-38,1993.

Heuer, N. and Kupper, T and Windelberg, D, Mathematical-model of a hot dry rock system, Geophysical Journal International, vol.105(153):659-664,1991.

Heuer, N. and Stephan, E., Coupling of the finite element and boundary element method - the h-p version, Zeitschrift fur Angewandte Mathematik und Mechanik, vol.71(152):T584-T586,1991.

Proyectos

Preconditioned Linear Solvers For Nonconforming Boundary Elements. Führer, Thomas; Heuer, Norbert. Fondecyt Postdoctorado, 2015

Non- Conforming And Dpg Boundary Elements And Coupled Dpg Schemes. Heuer, Norbert. Fondecyt Regular, 2015

Efficient Adaptive Strategies For Nonconforming Boundary Element Methods. Michael, Karkulik; Heuer, Norbert. Fondecyt Postdoctorado, 2014

Anillo de Análisis Numérico de Ecuaciones Diferenciales Parciales. Bürger, Raimund; Heuer, Norbert; Rodriguez, Rodolfo; Sepúlveda, Mauricio; Gatica, Gabriel. Anillos de Investigación en Ciencia y Tecnología, 2011

Non-Conforming Boundary Element And Applications. Heuer, Norbert. Fondecyt Regular, 2011

Advanced Numerical Simulation Techniques For Solving Complex Engineering Problems (Numsim). Beer, Gernot; Heuer, Norbert. Eu-Numsim, 2009

The Mortar Boundary Element Method. Heuer, Norbert. Fondecyt Regular, 2008

Polynomial Approximations Of Singular Vector Fields. Heuer, Norbert. Epsrc, Reino Unido, 2007

Error Estimates And Linear Solvers For The P-And Hp-Versions Of The Bem. Heuer, Norbert. Fondecyt Regular, 2004

Adaptative Procedures Based On Subspace Decompositions For High Order Boundary Element Systems. Heuer, Norbert. Fondecyt Regular, 2001

Two-Level Adpative Strategies For High Order Boundary Element Methods.. Heuer, Norbert. Dfg, Alemania, 1999