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
H-matrix approximability of inverses of discretizations of the fractional Laplacian
New a priori analysis of first-order system least-squares finite element methods for parabolic problems
Combining the DPG Method with Finite Elements
Variational formulation of time-fractional parabolic equations
A ROBUST DPG METHOD FOR SINGULARLY PERTURBED REACTION-DIFFUSION PROBLEMS
Discontinuous Petrov-Galerkin boundary elements
DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation
LOCAL INVERSE ESTIMATES FOR NON-LOCAL BOUNDARY INTEGRAL OPERATORS
ON THE COUPLING OF DPG AND BEM
ADAPTIVE CROUZEIX-RAVIART BOUNDARY ELEMENT METHOD
DPG method with optimal test functions for a transmission problem
Energy norm based error estimators for adaptive BEM for hypersingular integral equations
Local high-order regularization and applications to hp-methods
QUASI-OPTIMAL CONVERGENCE RATES FOR ADAPTIVE BOUNDARY ELEMENT METHODS WITH DATA APPROXIMATION. PART II: HYPER-SINGULAR INTEGRAL EQUATION
Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems
HILBERT - a MATLAB implementation of adaptive 2D-BEM
Note on discontinuous trace approximation in the practical DPG method
Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation
ZZ-Type a posteriori error estimators for adaptive boundary element methods on a curve
Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity
Convergence of Adaptive 3D BEM for Weakly Singular Integral Equations Based on Isotropic Mesh-Refinement
Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods
On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H (1)-Stability of L (2)-Projection
QUASI-OPTIMAL CONVERGENCE RATE FOR AN ADAPTIVE BOUNDARY ELEMENT METHOD
Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation
A posteriori error estimates for the Johnson-Nedelec FEM-BEM coupling
Convergence of adaptive BEM for some mixed boundary value problem

Proyecto (5)

Fast space-time discretizations for fractional evolution equations
Discontinuous Petrov-Galerkin Methods and Applications
EFFICIENT ADAPTIVE STRATEGIES FOR NONCONFORMING BOUNDARY ELEMENT METHODS
Research Team in Numerical Analysis of Partial Differential Equations
Adaptive boundary element methods

Review (1)

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