Man

Michael Karkulik

Profesor Asistente

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Valparaíso, Chile

Líneas de Investigación


Matemática Aplicada; Análisis Numérico

Educación

  •  Technische Mathematik, TECHNISCHE UNIVERSITAT WIEN (VIENA). Austria, 2009
  •  Doktor der technischen Wissenschaften, TECHNISCHE UNIVERSITAT WIEN (VIENA). Austria, 2012

Experiencia Académica

  •   Ayudante Part Time

    TECHNISCHE UNIVERSITÄT WIEN

    Austria

    2009 - 2012

  •   Profesor Instructor Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Chile

    2016 - 2020

  •   Profesor Asistente Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Departamento de Matemática

    Chile

    2020 - At present

  •   Postdoctorado Full Time

    Portland State University

    Portland, Estados Unidos

    2015 - 2016

  •   Postdoctorado Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Facultad de Matemáticas

    Chile

    2012 - 2015

Experiencia Profesional

  •   ayudante de docencia

    Technische Universtät Wien

    Austria

    2009 - 2012

  •   Postdoctorado

    Pontificia Universidad Católica de Chile

    Chile

    2012 - 2015

  •   Postdoctorado

    Portland State University

    Estados Unidos

    2015 - 2016

  •   Profesor Instructor Full Time

    Universidad Técnica Federico Santa María

    Chile

    2016 - 2020

  •   Profesor Asistente Full Time

    Universidad Técnica Federico Santa María

    Chile

    2020 - At present


 

Article (28)

Stable decompositions of hp-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D

Karkulik, M; Melenk, JM; Rieder, A

Article ISI
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE  (2020)

H-matrix approximability of inverses of discretizations of the fractional Laplacian

Karkulik M.; Melenk J.M.

Article ISI SCOPUS
ADVANCES IN COMPUTATIONAL MATHEMATICS  (2019)

New a priori analysis of first-order system least-squares finite element methods for parabolic problems

Führer, Thomas; Karkulik, Michael

Article ISI SCOPUS
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS  (2019)

Combining the DPG Method with Finite Elements

Fuhrer, T; Heuer, N; Karkulik, M; Rodriguez, R

Article ISI SCOPUS
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS  (2018)

Variational formulation of time-fractional parabolic equations

Karkulik, M

Article ISI SCOPUS
COMPUTERS & MATHEMATICS WITH APPLICATIONS  (2018)

A ROBUST DPG METHOD FOR SINGULARLY PERTURBED REACTION-DIFFUSION PROBLEMS

Heuer N.; Karkulik M.

Article ISI SCOPUS
SIAM JOURNAL ON NUMERICAL ANALYSIS  (2017)

Discontinuous Petrov-Galerkin boundary elements

Heuer N.; Karkulik M.

Article ISI SCOPUS
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 ISI SCOPUS
JOURNAL OF SCIENTIFIC COMPUTING  (2017)

LOCAL INVERSE ESTIMATES FOR NON-LOCAL BOUNDARY INTEGRAL OPERATORS

Aurada M.; Feischl M.; Führer T.; Karkulik M.; Melenk J.M.; Praetorius D.

Article ISI SCOPUS
MATHEMATICS OF COMPUTATION  (2017)

ON THE COUPLING OF DPG AND BEM

Führer T.; Heuer N.; Karkulik M.

Article ISI SCOPUS
MATHEMATICS OF COMPUTATION  (2017)

ADAPTIVE CROUZEIX-RAVIART BOUNDARY ELEMENT METHOD

Heuer, N; Karkulik, M

Article ISI SCOPUS
ESAIM: Mathematical Modelling and Numerical Analysis  (2015)

DPG method with optimal test functions for a transmission problem

Heuer, N; Karkulik, M

Article ISI SCOPUS
Computers and Mathematics with Applications  (2015)

Energy norm based error estimators for adaptive BEM for hypersingular integral equations

Aurada, M.; Feischl, M.; Fuehrer, T; Karkulik, M; Praetorius, D

Article ISI SCOPUS
Applied Numerical Mathematics  (2015)

Local high-order regularization and applications to hp-methods

Karkulik, M; Melenk, JM

Article ISI SCOPUS
Computers and Mathematics with Applications  (2015)

QUASI-OPTIMAL CONVERGENCE RATES FOR ADAPTIVE BOUNDARY ELEMENT METHODS WITH DATA APPROXIMATION. PART II: HYPER-SINGULAR INTEGRAL EQUATION

Feischl M.; Fuhrer, T; Karkulik M.; Melenk, JM; Praetorius D.

Article
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS  (2015)

Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems

Feischl, M.; Fuhrer, T; Karkulik, M; Praetorius, D

Article ISI SCOPUS
Numerische Mathematik  (2015)

HILBERT - a MATLAB implementation of adaptive 2D-BEM

Aurada, M.; Ebner, M; Feischl, M.; Ferraz-Leite, S; Fuhrer, T; Goldenits, P.; Karkulik, M; Mayr, M.; Praetorius, D

Article ISI SCOPUS
NUMERICAL ALGORITHMS  (2014)

Note on discontinuous trace approximation in the practical DPG method

Heuer, N; Karkulik, M; Sayas F.-J.

Article ISI SCOPUS
COMPUTERS & MATHEMATICS WITH APPLICATIONS  (2014)

Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation

Feischl M.; Fuhrer, T; Karkulik M.; Melenk, JM; Praetorius D.

Article
CALCOLO  (2014)

ZZ-Type a posteriori error estimators for adaptive boundary element methods on a curve

Feischl, M.; Fuhrer, T; Karkulik, M; Praetorius, D

Article ISI
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS  (2014)

Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity

Aurada, Markus; Feischl, Michael; Fuehrer, Thomas; Karkulik, Michael; Melenk, Jens Markus; Praetorius, Dirk

Article ISI
COMPUTATIONAL MECHANICS  (2013)

Convergence of Adaptive 3D BEM for Weakly Singular Integral Equations Based on Isotropic Mesh-Refinement

Karkulik, M; Of, G; Praetorius, D

Article ISI SCOPUS
Numerical Methods for Partial Differential Equations  (2013)

Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods

Aurada, M.; Feischl, M.; Fuhrer, T; Karkulik, M; Praetorius, D

Article ISI SCOPUS
Computational Methods in Applied Mathematics  (2013)

On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H (1)-Stability of L (2)-Projection

Karkulik, M; Pavlicek, D; Praetorius, D

Article ISI SCOPUS
Constructive Approximation  (2013)

QUASI-OPTIMAL CONVERGENCE RATE FOR AN ADAPTIVE BOUNDARY ELEMENT METHOD

Feischl, M.; Karkulik, M; Melenk, JM; Praetorius, D

Article ISI SCOPUS
SIAM Journal on Numerical Analysis  (2013)

Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation

Feischl, M.; Führer T.; Karkulik, M; Melenk J.M.; Praetorius, D

Article ISI SCOPUS
CALCOLO  (2013)

A posteriori error estimates for the Johnson-Nedelec FEM-BEM coupling

Aurada, M.; Feischl, M.; Karkulik, M.; Praetorius, D.

Article ISI
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS  (2012)

Convergence of adaptive BEM for some mixed boundary value problem

Aurada, M.; Ferraz-Leite, S.; Goldenits, P.; Karkulik, M.; Mayr, M.; Praetorius, D.

Article ISI
APPLIED NUMERICAL MATHEMATICS  (2012)

Proyecto (5)

Fast space-time discretizations for fractional evolution equations

FONDECYT (1170672)

Proyecto
2017-2021
Inv. Responsable

Discontinuous Petrov-Galerkin Methods and Applications

NSF (1318916)

Proyecto
2015-2016
Investigador(a)

EFFICIENT ADAPTIVE STRATEGIES FOR NONCONFORMING BOUNDARY ELEMENT METHODS

FONDECYT (3140614)

Proyecto
2013-2015
Inv. Responsable

Research Team in Numerical Analysis of Partial Differential Equations

PIA (ACT1118)

Proyecto
2013-2013
Investigador(a)

Adaptive boundary element methods

FWF (21731)

Proyecto
2009-2012
Tesista

Review (1)

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)

27
Michael Karkulik

Profesor Asistente

Departamento de Matemática

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Valparaíso, Chile

4
Norbert Heuer

Profesor Titular

Matemática

Pontificia Universidad Católica de Chile

Santiago, Chile

4
Thomas Führer

Profesor Asistente

Facultad de Matemáticas

Pontificia Universidad Católica de Chile

Santiago, Chile

1
Rodolfo Rodriguez

Full Professor

Ingeniería Matemática

UNIVERSIDAD DE CONCEPCION

Concepción, Chile