About employee

prof. dr. sc. Luka Grubišić

Title: Full Professor
Public phone number:+385-1-4605748
Internal phone number:5748
E-mail: E-mail
Department: Zavod za numeričku matematiku i znanstveno računanje
Graduation year:1998
mr.sc. graduation year:2001
PhD graduation year:2005
Employed in this institution since:1998

Teaching

undergraduate

graduate

integrated undergraduate and graduate

Published papers recorded in the Croatian Scientific Bibliography Database

Stochastic Collocation Method for Computing Eigenspaces of Parameter-Dependent Operators

Grubišić, Luka; Saarikangas, Mikael; Hakula, Harri
2024.

Detecting Near Resonances in Acoustic Scattering

Grubišić, Luka; Hiptmair, Ralf; Renner, Diego
2023.
Journal of scientific computing

Geometric optimization of vascular stents modeled as networks of 1D rods

Čanić-Mirković, Sunčica; Ljulj, Matko; Maretić, Marcel; Grubišić, Luka; Tambača, Josip
2023.
Journal of computational physics

Optimal control of parabolic equations - a spectral calculus based approach

Grubišić, Luka ; Lazar, Martin ; Nakić, Ivica ; Tauttenhahn, Martin
2023.
Siam journal on control and optimization

Stochastic collocation method for computing eigenspaces of parameter-dependent operators

Grubišić, Luka; Saarikangas, Mikael; Hakula, Harri
2023.
Numerische Mathematik

khp-adaptive spectral projection based discontinuous Galerkin method for the numerical solution of wave equations with memory

Giani, Stefano; Engström, Christian; Grubišić, Luka
2023.
Journal of computational and applied mathematics

Numerical solution of distributed-order time-fractional diffusion-wave equations using Laplace transforms

Giani, Stefano; Engström, Christian; Grubišić, Luka
2023.
Journal of computational and applied mathematics

Hyperbolic problems for metric graphs - tools for analyzing vibrations of frame like structures

Grubišić, Luka ; Tambača, Josip ; Ljulj, Matko ; Mehrmann, Volker
2022.

Adapted Contour Integration for Nonlinear Eigenvalue Problems in Waveguide Coupled Resonators

Jorkowski, Philipp ; Schmidt, Kersten ; Schenker, Carla ; Grubišić, Luka ; Schuhmann, Rolf
2022.
IEEE transactions on antennas and propagation

A subspace-accelerated method for solving nonlinear thermoacoustic eigenvalue problems

Mensah, Georg A. ; Orchini, Alessandro ; Buschmann, Philip ; Grubišić, Luka
2022.
Journal of sound and vibration

Higher Order Composite DG approximations of Gross– Pitaevskii ground state: Benchmark results and experiments

Engstrom, Christian ; Giani, Stefano ; Grubišić, Luka
2022.
Journal of computational and applied mathematics

A spectral projection based method for the numerical solution of wave equations with memory

Engstrom, Christian ; Giani, Stefano ; Grubišić, Luka
2022.
Applied mathematics letters

Preconditioning the Quad Dominant Mesh Generator for Ship Structural Analysis

Grubišić, Luka ; Lacmanović, Domagoj ; Tambača, Josip
2022.
Algorithms

An open-source processing pipeline for quad-dominant mesh generation for class-compliant ship structural analysis

Grubišić, Luka ; Lacmanović, Domagoj ; Palaversa, Marin ; Prebeg, Pero ; Tambača, Josip
2022.
Journal of marine science and engineering

Optimal design of vascular stents using a network of 1D slender curved rods

Čanić, Sunčica ; Grubišić, Luka ; Lacmanović, Domagoj ; Ljulj, Matko ; Tambača, Josip
2022.
Computer methods in applied mechanics and engineering

Optimal control of parabolic equations - a spectral calculus based approach.

Grubišić, Luka ; Lazar, Martin ; Nakić, Ivica ; Tauttenhahn, Martin
2021.

Modeling and discretization methods for the numerical simulation of elastic frame structures

Grubišić, Luka ; Ljulj, Matko ; Mehrmann, Volker ; Tambača, Josip
2021.
Electronic transactions on numerical analysis

Deep Neural Network Model for Approximating Eigenmodes Localized by a Confining Potential

Grubišić, Luka ; Hajba, Marko ; Lacmanović, Domagoj
2021.
Entropy (Basel. Online)

Automatic mesh generation for structural analysis in naval architecture

Grubišić, Luka ; Lacmanović, Domagoj ; Prebeg, Pero ; Tambača, Josip
2021.

Diagonalization of indefinite saddle point forms

Grubišić, Luka ; Kostrykin, Vadim ; Makarov, Konstantin ; Schmitz, Stephan ; Veselić, Krešimir
2020.

Spectral discretization errors in filtered subspace iteration

Gopalakrishnan, Jay ; Grubišić, Luka ; Ovall, Jeffrey
2020.
Mathematics of computation

Direct solution method for the equilibrium problem for elastic stents

Grubišić, Luka ; Tambača, Josip
2019.
Numerical linear algebra with applications

The Tan 2Θ Theorem in fluid dynamics

Grubišić, Luka ; Kostrykin, Vadim ; Makarov, Konstantin ; Schmitz, Stephan ; Veselić, Krešimir
2019.
Journal of Spectral Theory

Analysis of FEAST Spectral Approximations Using the DPG Discretization

Gopalakrishnan, Jay ; Grubišić, Luka ; Ovall, Jeffrey ; Parker, Benjamin
2019.
Computational methods in applied mathematics

Machine learning techniques for modeling ships performance in waves

Grubišić, Luka ; Mandić, Dino ; Mudronja, Luka ; Grubišić, Izvor
2018.

An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods

Giani, Stefano ; Grubišić, Luka ; Hakula, Harri ; Ovall, Jeffrey S.
2018.
Applied mathematics and computation

Mixed formulation of the one-dimensional equilibrium model for elastic stents

Grubišić, Luka ; Iveković, Josip ; Tambača, Josip ; Žugec, Bojan
2017.
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti

Quasi-semidefinite eigenvalue problem and applications

Grubišić, Luka ; Tambača, Josip
2017.
Nanosistemy: fizika, himiâ, matematika

Efficient and reliable hp-FEM estimates for quadratic eigenvalue problems and photonic crystal application

Engström, Christian ; Giani, Stefano ; Grubišić, Luka
2016.
Computers & mathematics with applications

Benchmark results for testing adaptive finite element eigenvalue procedures part 2 (conforming eigenvector and eigenvalue estimates)

Giani, Stefano ; Grubišić, Luka ; Ovall, Jeffrey
2016.
Applied numerical mathematics

Double angle theorems for definite matrix pairs

Grubišić, Luka ; Miodragović, Suzana ; Truhar, Ninoslav
2016.
Electronic transactions on numerical analysis

Robust error estimates for approximations of non- self-adjoint eigenvalue problems

Giani, Stefano ; Grubišić, Luka ; Międlar, Agnieszka ; Ovall, Jeffrey
2016.
Numerische Mathematik

A Subspace Iteration Algorithm for Fredholm Valued Functions

Engstrom, Christian ; Grubišić, Luka
2015.
Mathematical problems in engineering

Discrete perturbation estimates for eigenpairs of Fredholm operator-valued functions

Grubišić, Luka ; Grbić, Antonia
2015.
Applied mathematics and computation

The rotation of eigenspaces of perturbed matrix pairs II

Grubišić, Luka ; Truhar, Ninoslav ; Miodragović, Suzana
2014.
Linear and multilinear algebra

On the eigenvalue decay of solutions to operator Lyapunov equations

Grubišić, Luka ; Kressner, Daniel
2014.
Systems & control letters

Error control for hp-adaptive approximations of semi-definite eigenvalue problems

Giani, Stefano ; Grubišić, Luka ; Ovall, Jeffrey S.
2013.
Computing (Wien)

Kato's square root theorem as a basis for relative estimation theory of eigenvalue approximations

Giani, Stefano ; Grubišić, Luka ; Miedlar, Agnieszka ; Ovall, Jeffrey.
2013.

Cluster robust estimates for eigenvalues and eigenfunctions of convection-di usion-reaction operators

Giani, Stefano ; Grubišić, Luka ; Miedlar, Agnieszka ; Ovall, Jeffrey
2013.

Representation Theorems for Indefinite Quadratic Forms Revisited

Grubišić, Luka ; Kostrykin, Vadim ; Makarov, Konstantin A. ; Veselić, Krešimir
2013.
Mathematika

A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement

Bank, Randolph E. ; Grubišić, Luka ; Ovall, Jeffrey
2013.
Applied numerical mathematics

The tan (2THETA) Theorem for Indefinite Quadratic Forms

Grubišić, Luka ; Kostrykin, Vadim ; Makarov, Konstantin A. ; Veselić, Krešimir
2013.
Journal of Spectral Theory

The Rotation of Eigenspaces of Perturbed Matrix Pairs

Grubišić, Luka ; Truhar, Ninoslav ; Veselić Krešimir
2012.
Linear algebra and its applications

Error representation formula for eigenvalue approximations for positive definite operators

Grubišić, Luka ; Nakić, Ivica
2012.
Operators and Matrices

Error control for hp-adaptive approximations of semi-definite eigenvalue problems

Giani, Stefano ; Grubišić, Luka ; Ovall, Jeffrey
2012.

Benchmark results for testing adaptive finite element eigenvalue procedures

Giani, Stefano ; Grubišić, Luka ; Ovall, Jeffrey S.
2012.
Applied numerical mathematics

Pseudospectral Picture of the Seismic Algorithm for Surface Multiple Attenuation

Drmač, Zlatko ; Grubišić, Luka ; Jeričević, Željko
2011.

On quasi-definite quadratic forms in a Hilbert space and applications

Grubišić, Luka ; Kostrykin, Vadim ; Makarov, Konstantin A. ; Veselić, Krešimir
2009.

Relative convergence estimates for the spectral asymptotic in the Large Coupling Limit

Grubišić, Luka
2009.
Integral equations and operator theory

On Estimators for Eigenvalue/Eigenvector Approximations

Grubišić, Luka ; Ovall, Jeffrey
2009.
Mathematics of computation

A robust hierarchical eigenvalue/eigenvector enhancement

Bank, Randolph E. ; Grubišić, Luka ; Ovall, Jeffrey
2009.

Numerical linear algebra for spectral theory of block operator matrices

Grubišić, Luka ; Kostrykin, Vadim ; Makarov, Konstantin A. ; Veselić, Krešimir
2008.

On quasi-definite quadratic forms in a Hilbert space

Grubišić, Luka ; Kostrykin, Vadim ; Makarov, K ; Veselić, Krešimir
2007.

On relative perturbation theory for eigenvalues and eigenvectors of block operator matrices

Grubišić, Luka
2007.
PAMM : Proceedings in applied mathematics and mechanics

On weakly formulated Sylvester equations and applications

Grubišić, Luka ; Veselić, Krešimir
2007.
Integral equations and operator theory

On relative perturbation theory for block operator matrices

Grubišić, Luka ; Veselić, Krešimir ; Tambača, Josip
2007.

On eigenvalue and eigenvector estimates for nonnegative definite operators

Grubišić, Luka
2006.
SIAM journal on matrix analysis and applications

A posteriori estimates for eigenvalue/vector approximations

Grubišić, Luka
2006.
PAMM : Proceedings in applied mathematics and mechanics

Relative eigenvalue/eigenvector estimates for multi-scale problems in science and engineering

Grubišić, Luka ; Drmač, Zlatko ; Kostrykin, Vadim ; Veselić, Krešimir
2006.

On Ritz Approximations for Positive Definite Operators I (Theory)

Grubišić, Luka ; Veselić, Krešimir
2006.
Linear algebra and its applications

Approximating Invariant Subspaces of Elliptic Operators

Grubišić, Luka ; Veselić, Krešimir
2002.

On Simulations of Random Fields on Bounded Domains

Grubišić, Luka ; Limić, Nedžad ; Valković, Vladivoj
2001.
More information about publications

List of select projects

  • Randomized low rank algorithms and applications to parameter dependent problems, Hrvatska Zaklada za Znanost (Zagreb), 2020-01 to 2024-01, GRANT_NUMBER: IP-2019-04-6268
  • Development of efficient methodology for finite element method based structural analysis of marine structures – REMAKE, EU from the Regional Development Funds KK.01.2.1.01.0124, June 2018. – December 2021, more information.