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

Randomized POD-Beyn algorithm for nonlinear eigenvalue problems– analysis and perspectives

Grubišić, Luka
2023.

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

Fem Approximations of the Operator Lyapunov Equation Have Low Rank

Grubišić, Luka; Hakula, Harri
2023.

Stochastic collocation method for computing eigenspaces of parameter-dependent operators

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

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

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

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

Quasi resonances in acoustic scattering: analysis and algorithms

Grubišić, Luka
2023.

Surrogate modelling for detection of near resonances in acoustic scattering

Grubišić, Luka
2022.

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

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

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

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 subspace-accelerated method for solving nonlinear thermoacoustic eigenvalue problems

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

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

Optimal Control of Parabolic Equations -- a Numerical Case Study in Periodic Homogenization

Grubišić, Luka
2022.

High order approximations of the operator Lyapunov equation have low rank (talk)

Grubišić, Luka ; Hakula, Harri
2022.

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

Preconditioning the Quad Dominant Mesh Generator for Ship Structural Analysis

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

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

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

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.

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

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

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

Spectral discretization errors in filtered subspace iteration

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

Contour Integration Method for Nonlinear Eigenvalue Problems

Grubišić, Luka
2020.

Fast solution methods for operator Lyapunov equations

Grubišić, Luka
2020.

Mesh adaptive solution method for Lyapunov equations - book of abstracts

Grubišić, Luka
2020.

Diagonalization of indefinite saddle point forms

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

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

Direct solution method for the equilibrium problem for elastic stents

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

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

Improvement of standard GPS position estimation algorithm through utilization of Weighted Least-Square approach

Filić, Mia ; Grubišić, Luka ; Filjar, Renato
2018.

Machine learning techniques for modeling ships performance in waves

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

Quasi-semidefinite eigenvalue problem and applications

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

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

Double angle theorems for definite matrix pairs

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

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

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

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

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

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

Resolvent estimates and eigenvalue decay of solutions to Lyapunov operator equations

Grubišić, Luka ; Kressner, Daniel
2014.

On the eigenvalue decay of solutions to operator Lyapunov equations

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

The rotation of eigenspaces of perturbed matrix pairs II

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

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

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

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

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

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

Representation Theorems for Indefinite Quadratic Forms Revisited

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

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

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

The Rotation of Eigenspaces of Perturbed Matrix Pairs

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

Robust A-Posteriori Error Estimates for Semi-definite Eigenvalue Problems With Known Null Spaces

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

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

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

Error representation formula for eigenvalue approximations for positive definite operators

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

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.

Basic Iterative Algorithms of Numerical Linear Algebra as Building Blocks for Hybrid Adaptive Finite Element Methods

Grubišić, Luka ; Miedlar, Agnieszka ; Ovall, Jeffrey
2011.

A robust hierarchical eigenvalue/eigenvector enhancement

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

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

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

On Estimators for Eigenvalue/Eigenvector Approximations

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

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

Grubišić, Luka
2009.
Integral equations and operator theory

Numerical linear algebra for spectral theory of block operator matrices

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

On relative perturbation theory for block operator matrices

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

On weakly formulated Sylvester equations and applications

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

On quasi-definite quadratic forms in a Hilbert space

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

On Temple--Kato like inequalities and applications

Grubišić, Luka
2007.

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

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

On Ritz Approximations for Positive Definite Operators I (Theory)

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

On eigenvalue and eigenvector estimates for nonnegative definite operators

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

Extracting spectral information from large "singularly perturbed" matrices

Grubišić, Luka
2006.

Estimates for the spectral asymptotic in a Large Coupling Limit

Grubišić, Luka
2006.

On Accuracy Of Hierarchical Rayleigh-Ritz Methods

Grubišić, Luka
2006.

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

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

A posteriori estimates for eigenvalue/vector approximations

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

Saturation assumptions for Rayleigh--Ritz eigenvalue approximations

Grubišić, Luka
2005.

Temple-Kato inequalities and applications in Mathematical Physics

Grubišić, Luka
2004.

On Ritz Approximations for Positive Definite Operators

Grubišić, Luka
2003.

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.

Numerical computation of the partial eigenvalue problem for symmetric matrices

Grubišić, Luka
2001.

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.