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Norbert Heuer

Profesor Titular

Pontificia Universidad Católica de Chile

Santiago, Chile

Líneas de Investigación


Numerical analysis of partial differential equations

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

    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 - A la fecha

Experiencia Profesional

  •   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 - A la fecha

Formación de Capital Humano


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.



 

Article (76)

An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation
Trace operators of the bi-Laplacian and applications
AN ULTRAWEAK FORMULATION OF THE KIRCHHOFF-LOVE PLATE BENDING MODEL AND DPG APPROXIMATION
Finite element approximations of the nonhomogeneous fractional Dirichlet problem
Fully discrete DPG methods for the Kirchhoff-Love plate bending model
A DPG framework for strongly monotone operators
A wirebasket preconditioner for the mortar boundary element method
A wirebasket preconditioner for the mortar boundary element method
Combining the DPG Method with Finite Elements
On the DPG method for Signorini problems
Optimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two
Regularity of the solution to 1-D fractional order diffusion equations
A nonconforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator
A robust DPG method for singularly perturbed reaction-diffusion problems
A robust DPG method for singularly perturbed reaction-diffusion problems
A robust DPG method for singularly perturbed reaction-diffusion problems
A Time-Stepping DPG Scheme for the Heat Equation
A Time-Stepping DPG Scheme for the Heat Equation
Discontinuous Petrov-Galerkin boundary elements
Discontinuous Petrov?Galerkin boundary elements
DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation
DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation
ON THE COUPLING OF DPG AND BEM
On the coupling of DPG and BEM
Robust coupling of DPG and BEM for a singularly perturbed transmission problem
Robust coupling of DPG and BEM for a singularly perturbed transmission problem
Robust coupling of DPG and BEM for a singularly perturbed transmission problem
Robust coupling of DPG and BEM for a singularly perturbed transmission problem
Symmetric Coupling of LDG-FEM and DG-BEM
ADAPTIVE CROUZEIX-RAVIART BOUNDARY ELEMENT METHOD
ANALYSIS OF A NON-SYMMETRIC COUPLING OF INTERIOR PENALTY DG AND BEM
A Posteriori Error Analysis for a Boundary Element Method with Nonconforming Domain Decomposition
A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms
Adaptive Boundary Element Methods
Coupling of mixed finite element and stabilized boundary element methods for a fluid-solid interaction problem in 3D
Note on discontinuous trace approximation in the practical DPG method
On the equivalence of fractional-order Sobolev semi-norms
ULTRA-WEAK FORMULATION OF A HYPERSINGULAR INTEGRAL EQUATION ON POLYGONS AND DPG METHOD WITH OPTIMAL TEST FUNCTIONS
A mixed method for Dirichlet problems with radial basis functions
Discontinuous Galerkin -BEM with quasi-uniform meshes
ROBUST DPG METHOD FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS
ROBUST DPG METHOD FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS
A Nitsche-based domain decomposition method for hypersingular integral equations
Natural hp-BEM for the electric field integral equation with singular solutions
Radial basis functions for the solution of hypersingular operators on open surfaces
A new H(div)-conforming p-interpolation operator in two dimensions
Hilbert scales and Sobolev spaces defined by associated Legendre functions
A direct coupling of local discontinuous Galerkin and boundary element methods
Convergence of the natural hp-BEM for the electric field integral equation on polyhedral surfaces
MORTAR BOUNDARY ELEMENTS
Natural p-BEM for the electric field integral equation on screens
The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: A priori error analysis
The hp-version of the boundary element method with quasi-uniform meshes for weakly singular operators on surfaces
Crouzeix-Raviart boundary elements
OPTIMAL ERROR ESTIMATION FOR H(curl)-CONFORMING p-INTERPOLATION IN TWO DIMENSIONS
The Boundary Element Method with Lagrangian Multipliers
A priori and a posteriori error analysis of an augmented mixed finite element method for incompressible fluid flows
On the finite element method for elliptic problems with degenerate and singular coefficients
A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity
The optimal convergence of the h-p version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains
Approximation of time-dependent, viscoelastic fluid flow: Crank-Nicolson, finite element approximation
The optimal rate of convergence of the p-version of the boundary element method in two dimensions
An overlapping domain decomposition preconditioner for high order BEM with anisotropic elements
A p-adaptive algorithm for the BEM with the hypersingular operator on the plane screen
A posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem
A preconditioned MINRES method for the coupling of mixed-FEM and BEM for some nonlinear problems
An a posteriori error estimate for a linear-nonlinear transmission problem in plane elastostatics
An hp-adaptive refinement strategy for hypersingular operators on surfaces
Conjugate gradient method for dual-dual mixed formulations
Additive Schwarz method for the p-version of the boundary element method for the single layer potential operator on a plane screen
An additive Schwarz method for the h-p version of the boundary element method for hypersingular integral equations in R-3
An expanded mixed finite element approach via a dual-dual formulation and the minimum residual method
An implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics
hp-adaptive two-level methods for boundary integral equations on curves
Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems
A dual-dual formulation for the coupling of mixed-FEM and BEM in hyperelasticity

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)

Adaptive Boundary Element Methods A Posteriori Error Estimators, Adaptivity, Convergence, and Implementation
19
Norbert Heuer

Profesor Titular

Matemática

Pontificia Universidad Católica de Chile

Santiago, Chile

6
Thomas Führer

Profesor Asistente

Facultad de Matemáticas

Pontificia Universidad Católica de Chile

Santiago, Chile

4
Michael Karkulik

Profesor Asistente

Departamento de Matemática

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Valparaíso, Chile

2
Norbert Heuer

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE, FACULTAD DE MATEMATICAS

Santiago, Chile

1
Rodolfo Rodriguez

Full Professor

Ingeniería Matemática

UNIVERSIDAD DE CONCEPCION

Concepción, Chile