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Norbert Heuer

Profesor Titular

Pontificia Universidad Católica de Chile

Santiago, Chile

Numerical analysis of partial differential equations

Diplom-Mathematiker, UNIVERSITAT HANNOVER. Alemania, 1989
Dr. rer. nat., UNIVERSITAT HANNOVER. Alemania, 1992
Habilitation, UNIVERSITAT HANNOVER. Alemania, 1998

Research Associate Full Time

UNIVERSITAT BREMEN

Computing Center

Bremen, Alemania

1992 - 2000
Profesor Titular Full Time

UNIVERSIDAD DE CONCEPCION

Ciencias Físicas y Matemáticas

Concepción, Chile

2000 - 2004
Full Professor Full Time

BRUNEL UNIVERSITY

Reino Unido

2004 - 2008
Profesor Titular Full Time

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

Matemáticas

Chile

2008 - At present

Research Associate Full Time

Universität Bremen

Bremen, Alemania

1992 - 2000
Profesor Titular Full Time

Universidad de Concepción

Concepción, Chile

2000 - 2004
Full Professor Full Time

Brunel University

Reino Unido

2004 - 2008
Profesor Titular Full Time

Pontificia Universidad Católica de Chile

Chile

2008 - At present

Undergraduate:
Daniel Arroyo Muñoz, Mathematical Engineering Thesis, University of Concepción, July 16, 2004.
Craig Reed, Final Year Project, BSc Mathematics, Brunel University, July, 2006.
Leonardo Figueroa, Mathematical Engineering Thesis, University of Concepción, with Gabriel N. Gatica, January 15, 2007.
Akash Sangani, Final Year Project, BSc Mathematics, Brunel University, July 2007.
Ozan Bozoglu, Final Year Project, BSc Financial Computing, Brunel University, July 2007.
Daljit Singh Khaira, Final Year Project, BSc Financial Computing, Brunel University, July 2007.
Abdi Osman, Final Year Project, BSc Financial Computing, Brunel University, July 2007.
Anthony Allsopp, Final Year Project, BSc Financial Mathematics, Brunel University, July 2008.
Duncan Hyde, Final Year Project, BSc Financial Mathematics, Brunel University, July 2008.
Felipe Pinochet, Mathematical Engineering Thesis, Pontificia Universidad Católica de Chile, January 29, 2014.

Master:
Emil Röhrich, Brunel University, November 2005.
Silvia Lüdtke, Brunel University, November 2005.
Manuela Bolz, Brunel University, November 2005.
Clemens Purer, Brunel University, November 2005.
Leo Nesemann, Brunel University, November 2006.
Xiaoshen Jiang, Brunel University, November 2006.
Uduak Ekpo, Brunel University, November 2007.
Gredy Salmerón, Pontificia Universidad Católica de Chile, January 23, 2015.

PhD:
Florian Leydecker, University of Hannover, Germany, with Ernst P. Stephan, June 30, 2006.
Martin Healey, Brunel University, February 19, 2010.
Pablo Herrera, Pontificia Universidad Católica de Chile, current (with Thomas Führer).

Postdocs:
Mario E. Mellado, Universitat Bremen, April - October, 2000.
Alexey Bespalov, Universidad de Concepción, June - November, 2003, Brunel University, September 2007 - August 2010.
Michael Karkulik, Pontificia Universidad Católica de Chile, November 2012 - October 2015.
Thomas Führer, Pontificia Universidad Católica de Chile, November 2014 - October 2016.
Jhuma Sen Gupta, Pontificia Universidad Católica de Chile, November 2015 - October 2016.
Pierre Cantin, Pontificia Universidad Católica de Chile, March 2017 - August 2018.
Carlos García, Pontificia Universidad Católica de Chile, since March 2019.


An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation Fuhrer, Thomas; Heuer, Norbert; Sayas, Francisco-Javier Article ISI NUMERISCHE MATHEMATIK (2020)
Trace operators of the bi-Laplacian and applications Führer, Thomas; Haberl, Alexander; Heuer, Norbert Article IMA Journal of Numerical Analysis (2020)
AN ULTRAWEAK FORMULATION OF THE KIRCHHOFF-LOVE PLATE BENDING MODEL AND DPG APPROXIMATION Fuhrer, T; Heuer, N; Niemi, AH Article ISI MATHEMATICS OF COMPUTATION (2019)
Finite element approximations of the nonhomogeneous fractional Dirichlet problem Acosta, G; Borthagaray, JP; Heuer, N Article ISI IMA JOURNAL OF NUMERICAL ANALYSIS (2019)
Fully discrete DPG methods for the Kirchhoff-Love plate bending model Fuhrer, T; Heuer, N Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2019)
A DPG framework for strongly monotone operators Cantin P.; Heuer N. Article ISI SCOPUS (2018)
A wirebasket preconditioner for the mortar boundary element method Fuhrer, T; Heuer, N Article ADVANCES IN COMPUTATIONAL MATHEMATICS (2018)
A wirebasket preconditioner for the mortar boundary element method Fuhrer, T; Heuer, N Article ADVANCES IN COMPUTATIONAL MATHEMATICS (2018)
Combining the DPG Method with Finite Elements Fuhrer, T; Heuer, N; Karkulik, M; Rodriguez, R Article ISI SCOPUS COMPUTATIONAL METHODS IN APPLIED MATHEMATICS (2018)
On the DPG method for Signorini problems FÃ¼hrer T.; Heuer N.; Stephan E.P. Article ISI SCOPUS IMA Journal of Numerical Analysis (2018)
Optimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two FÃ¼hrer T.; Heuer N. Article ISI SCOPUS JOURNAL OF SCIENTIFIC COMPUTING (2018)
Regularity of the solution to 1-D fractional order diffusion equations Ervin, Vincent J.; Heuer, Norbert Article MATHEMATICS OF COMPUTATION (2018)
A nonconforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator Heuer, N; Salmerón G. Article ISI SCOPUS NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2017)
A robust DPG method for singularly perturbed reaction-diffusion problems Heuer N., Karkulik M. Article SIAM Journal on Numerical Analysis (2017)
A robust DPG method for singularly perturbed reaction-diffusion problems Heuer N., Karkulik M. Article SIAM Journal on Numerical Analysis (2017)
A robust DPG method for singularly perturbed reaction-diffusion problems Heuer N., Karkulik M. Article SIAM Journal on Numerical Analysis (2017)
A Time-Stepping DPG Scheme for the Heat Equation Führer T., Heuer N. Article Computational Methods in Applied Mathematics (2017)
A Time-Stepping DPG Scheme for the Heat Equation Führer T., Heuer N. Article Computational Methods in Applied Mathematics (2017)
Discontinuous Petrov-Galerkin boundary elements Heuer N.; Karkulik M. Article ISI SCOPUS NUMERISCHE MATHEMATIK (2017)
Discontinuous Petrov?Galerkin boundary elements Heuer N., Karkulik M. Article Numerische Mathematik (2017)
DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation Ervin V.J., Führer T.; Heuer N., Karkulik M. Article Journal of Scientific Computing (2017)
DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation Ervin V.J., Führer T.; Heuer N., Karkulik M. Article Journal of Scientific Computing (2017)
ON THE COUPLING OF DPG AND BEM Führer T.; Heuer N.; Karkulik M. Article ISI SCOPUS MATHEMATICS OF COMPUTATION (2017)
On the coupling of DPG and BEM Führer T., Heuer N. Article Mathematics of Computation (2017)
Robust coupling of DPG and BEM for a singularly perturbed transmission problem Fuhrer, T; Heuer, N Article Computers and Mathematics with Applications (2017)
Robust coupling of DPG and BEM for a singularly perturbed transmission problem Fuhrer, T; Heuer, N Article Computers and Mathematics with Applications (2017)
Robust coupling of DPG and BEM for a singularly perturbed transmission problem Fuhrer, T; Heuer, N Article ISI SCOPUS COMPUTERS & MATHEMATICS WITH APPLICATIONS (2017)
Robust coupling of DPG and BEM for a singularly perturbed transmission problem Fuhrer, T; Heuer, N Article Computers and Mathematics with Applications (2017)
Symmetric Coupling of LDG-FEM and DG-BEM Heuer, Norbert; Meddahi, Salim; Sayas, Francisco-Javier Article ISI SCOPUS JOURNAL OF SCIENTIFIC COMPUTING (2016)
ADAPTIVE CROUZEIX-RAVIART BOUNDARY ELEMENT METHOD Heuer N; Karkulik, M Article ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2015)
ANALYSIS OF A NON-SYMMETRIC COUPLING OF INTERIOR PENALTY DG AND BEM Heuer N; Sayas FJ Article MATHEMATICS OF COMPUTATION (2015)
A Posteriori Error Analysis for a Boundary Element Method with Nonconforming Domain Decomposition Domínguez C.; Heuer, N Article ISI SCOPUS NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2014)
A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms Chan J.; Heuer, N; Bui-Thanh, T; Demkowicz, L. Article ISI COMPUTERS & MATHEMATICS WITH APPLICATIONS (2014)
Adaptive Boundary Element Methods Feischl, Michael; Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Praetorius, Dirk Article Archives of Computational Methods in Engineering (2014)
Coupling of mixed finite element and stabilized boundary element methods for a fluid-solid interaction problem in 3D Gatica, G.N.; Heuer, N.; Meddahi, S. Article Numerical Methods for Partial Differential Equations (2014)
Note on discontinuous trace approximation in the practical DPG method Heuer N; Karkulik, M; Sayas F.-J. Article COMPUTERS & MATHEMATICS WITH APPLICATIONS (2014)
On the equivalence of fractional-order Sobolev semi-norms Heuer, N. Article Journal of Mathematical Analysis and Applications (2014)
ULTRA-WEAK FORMULATION OF A HYPERSINGULAR INTEGRAL EQUATION ON POLYGONS AND DPG METHOD WITH OPTIMAL TEST FUNCTIONS Heuer N; Pinochet, F Article SIAM JOURNAL ON NUMERICAL ANALYSIS (2014)
A mixed method for Dirichlet problems with radial basis functions Heuer, N; Tran, T Article COMPUTERS & MATHEMATICS WITH APPLICATIONS (2013)
Discontinuous Galerkin -BEM with quasi-uniform meshes Heuer, N; Meddahi, S Article NUMERISCHE MATHEMATIK (2013)
ROBUST DPG METHOD FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS Demkowicz, L; Heuer, N Article SIAM JOURNAL ON NUMERICAL ANALYSIS (2013)
ROBUST DPG METHOD FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS Demkowicz, L.; Heuer, N Article ISI SCOPUS SIAM Journal on Numerical Analysis (2013)
A Nitsche-based domain decomposition method for hypersingular integral equations N. Heuer; F. Chouly Article Numerische Mathematik (2012)
Natural hp-BEM for the electric field integral equation with singular solutions N. Heuer; A. Bespalov Article Numer. Methods Partial Differential Eq (2012)
Radial basis functions for the solution of hypersingular operators on open surfaces N. Heuer; T. Tran Article Comput. Math. Appl. (2012)
A new H(div)-conforming p-interpolation operator in two dimensions N. Heuer; A. Bespalov Article ESAIM Math. Model. Num. Anal. (2011)
Hilbert scales and Sobolev spaces defined by associated Legendre functions N. Heuer; V. Domínguez; F.-J. Sayas Article J. Comput. Appl. Math. (2011)
A direct coupling of local discontinuous Galerkin and boundary element methods N. Heuer; G. N. Gatica; F.-J. Sayas Article Mathematics of Computation (2010)
Convergence of the natural hp-BEM for the electric field integral equation on polyhedral surfaces N. Heuer; A. Bespalov; R. Hiptmair Article SIAM Journal on Numerical Analysis (2010)
MORTAR BOUNDARY ELEMENTS Healey M.; Heuer, N Article SIAM JOURNAL ON NUMERICAL ANALYSIS (2010)
Natural p-BEM for the electric field integral equation on screens Bespalov A.; Heuer, N Article IMA JOURNAL OF NUMERICAL ANALYSIS (2010)
The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: A priori error analysis Bespalov A.; Heuer, N Article APPLIED NUMERICAL MATHEMATICS (2010)
The hp-version of the boundary element method with quasi-uniform meshes for weakly singular operators on surfaces N. Heuer; A. Bespalov Article IMA Journal of Numerical Analysis (2010)
Crouzeix-Raviart boundary elements Heuer, N; Sayas, FJ Article NUMERISCHE MATHEMATIK (2009)
OPTIMAL ERROR ESTIMATION FOR H(curl)-CONFORMING p-INTERPOLATION IN TWO DIMENSIONS Bespalov A.; Heuer, N Article SIAM JOURNAL ON NUMERICAL ANALYSIS (2009)
The Boundary Element Method with Lagrangian Multipliers Gatica, GN; Healey M.; Heuer, N Article NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2009)
A priori and a posteriori error analysis of an augmented mixed finite element method for incompressible fluid flows Figueroa, LE; Gatica, GN; Heuer, N Article COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2008)
On the finite element method for elliptic problems with degenerate and singular coefficients Arroyo D.; Bespalov A.; Heuer, N Article MATHEMATICS OF COMPUTATION (2007)
A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity Barrios, TP; Gatica, GN; Gonzalez, M; Heuer, N Article ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2006)
The optimal convergence of the h-p version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains Guo, BQ; Heuer, N Article ADVANCES IN COMPUTATIONAL MATHEMATICS (2006)
Approximation of time-dependent, viscoelastic fluid flow: Crank-Nicolson, finite element approximation Ervin, VJ; Heuer, N Article NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2004)
The optimal rate of convergence of the p-version of the boundary element method in two dimensions Guo, BQ; Heuer, N Article NUMERISCHE MATHEMATIK (2004)
An overlapping domain decomposition preconditioner for high order BEM with anisotropic elements Heuer, N; Stephan, EP Article ADVANCES IN COMPUTATIONAL MATHEMATICS (2003)
A p-adaptive algorithm for the BEM with the hypersingular operator on the plane screen Heuer, N; Mellado, ME; Stephan, EP Article INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2002)
A posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem Araya, R; Barrios, TP; Gatica, GN; Heuer, N Article COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2002)
A preconditioned MINRES method for the coupling of mixed-FEM and BEM for some nonlinear problems Gatica, GN; Heuer, N Article SIAM JOURNAL ON SCIENTIFIC COMPUTING (2002)
An a posteriori error estimate for a linear-nonlinear transmission problem in plane elastostatics Barrientos, MA; Gatica, GN; Heuer, N Article CALCOLO (2002)
An hp-adaptive refinement strategy for hypersingular operators on surfaces Heuer, N Article NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2002)
Conjugate gradient method for dual-dual mixed formulations Gatica, GN; Heuer, N Article MATHEMATICS OF COMPUTATION (2002)
Additive Schwarz method for the p-version of the boundary element method for the single layer potential operator on a plane screen Heuer, N Article NUMERISCHE MATHEMATIK (2001)
An additive Schwarz method for the h-p version of the boundary element method for hypersingular integral equations in R-3 Heuer, N; Stephan, EP Article IMA JOURNAL OF NUMERICAL ANALYSIS (2001)
An expanded mixed finite element approach via a dual-dual formulation and the minimum residual method Gatica, GN; Heuer, N Article JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2001)
An implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics Gatica, GN; Heuer, N; Stephan, EP Article MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2001)
hp-adaptive two-level methods for boundary integral equations on curves Heuer, N; Mellado, ME; Stephan, EP Article COMPUTING (2001)
Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems Gatica, GN; Heuer, N Article NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS (2001)
A dual-dual formulation for the coupling of mixed-FEM and BEM in hyperelasticity Gatica, GN; Heuer, N Article SIAM JOURNAL ON NUMERICAL ANALYSIS (2000)


NON-CONFORMING AND DPG BOUNDARY ELEMENTS AND COUPLED DPG SCHEMES FONDECYT (1150056) Proyecto 2015-2019 Inv. Responsable
Preconditioned linear solvers for nonconforming boundary elements FONDEF (3150012) Proyecto 2014-2016 Inv. Patrocinante
EFFICIENT ADAPTIVE STRATEGIES FOR NONCONFORMING BOUNDARY ELEMENT METHODS FONDECYT (3140614) Proyecto 2013-2015 Inv. Patrocinante
Research Team in Numerical Analysis of Partial Differential Equations (ANANUM) CONICYT (ACT1118) Proyecto 2012-2015 Inv. Principal
NON-CONFORMING BOUNDARY ELEMENTS AND APPLICATIONS FONDECYT (1110324) Proyecto 2011-2015 Inv. Responsable
Advanced Numerical Simulation techniques for solving complex engineering problems (NUMSIM) Union Europea (FP7-PEOPLE-2009-IRSES) Proyecto 2010-2014 Investigador(a)
THE MORTAR BOUNDARY ELEMENT METHOD FONDECYT (1080044) Proyecto 2008-2011 Inv. Responsable
Polynomial approximations of singular vector fields EPSRC UK (EP/E058094/1) Proyecto 2007-2010 Inv. Responsable
Efficient boundary element approximations of time-harmonic electromagnetic waves with singularities Union Europea (EU-INTAS 5945) Proyecto 2007-2008 Inv. Patrocinante
ERROR ESTIMATES AND LINEAR SOLVERS FOR THE P-AND HP-VERSIONS OF THE BEM FONDECYT (1040615) Proyecto 2004-2005 Inv. Responsable
ADAPTIVE PROCEDURES BASED ON SUBSPACE DECOMPOSITIONS FOR HIGH ORDER BOUNDARY ELEMENT SYSTEMS FONDECYT (1010220) Proyecto 2001-2004 Inv. Responsable
Two-level adaptive strategies for high order boundary element methods German Research Foundation (DFG) (He 2884/3) Proyecto 1999-2000 Inv. Responsable


Adaptive Boundary Element Methods A Posteriori Error Estimators, Adaptivity, Convergence, and Implementation Feischl, M.; Fuhrer, T; Heuer, N; Karkulik, M; Praetorius, D Review ISI SCOPUS Archives of Computational Methods in Engineering (2015)

Norbert Heuer

Profesor Titular

Matemática

Pontificia Universidad Católica de Chile

Santiago, Chile

Thomas Führer

Profesor Asistente

Facultad de Matemáticas

Pontificia Universidad Católica de Chile

Santiago, Chile

Michael Karkulik

Profesor Asistente

Departamento de Matemática

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Valparaíso, Chile

Norbert Heuer

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE, FACULTAD DE MATEMATICAS

Santiago, Chile

Rodolfo Rodriguez

Full Professor

Ingeniería Matemática

UNIVERSIDAD DE CONCEPCION

Concepción, Chile

Norbert Heuer

Líneas de Investigación

Educación

Diplom-Mathematiker, UNIVERSITAT HANNOVER. Alemania, 1989

Dr. rer. nat., UNIVERSITAT HANNOVER. Alemania, 1992

Habilitation, UNIVERSITAT HANNOVER. Alemania, 1998

Experiencia Académica

Research Associate Full Time

Profesor Titular Full Time

Full Professor Full Time

Profesor Titular Full Time

Experiencia Profesional

Research Associate Full Time

Profesor Titular Full Time

Full Professor Full Time

Profesor Titular Full Time

Formación de Capital Humano

Article (76)

Proyecto (12)

NON-CONFORMING AND DPG BOUNDARY ELEMENTS AND COUPLED DPG SCHEMES

Preconditioned linear solvers for nonconforming boundary elements

EFFICIENT ADAPTIVE STRATEGIES FOR NONCONFORMING BOUNDARY ELEMENT METHODS

Research Team in Numerical Analysis of Partial Differential Equations (ANANUM)

NON-CONFORMING BOUNDARY ELEMENTS AND APPLICATIONS

Advanced Numerical Simulation techniques for solving complex engineering problems (NUMSIM)

THE MORTAR BOUNDARY ELEMENT METHOD

Polynomial approximations of singular vector fields

Efficient boundary element approximations of time-harmonic electromagnetic waves with singularities

ERROR ESTIMATES AND LINEAR SOLVERS FOR THE P-AND HP-VERSIONS OF THE BEM

ADAPTIVE PROCEDURES BASED ON SUBSPACE DECOMPOSITIONS FOR HIGH ORDER BOUNDARY ELEMENT SYSTEMS

Two-level adaptive strategies for high order boundary element methods

Review (1)