O djelatniku

prof. dr. sc. Luka Grubišić

Zvanje: redoviti profesor u trajnom izboru
Telefon:+385-1-4605748
Telefon kućni:5748
E-mail: E-mail
Zavod/služba: Zavod za numeričku matematiku i znanstveno računanje
Godina diplomiranja:1998.
Godina magistriranja:2001.
Godina doktoriranja:2005.
Na zavodu od:1998.

Nastava

prijediplomski

diplomski

integrirani prijediplomski i diplomski

Objavljeni radovi u Hrvatskoj znanstvenoj bibliografiji

Stochastic Collocation Method for Computing Eigenspaces of Parameter-Dependent Operators

Grubišić, Luka; Saarikangas, Mikael; Hakula, Harri
neobjavljeni prilog sa skupa, 2024.

Tensor network approximations of parameter dependent modal problems

Grubišić, Luka; Hajba, Marko
neobjavljeni prilog sa skupa, 2024.

Neural Network Models for Eigenvalue Problems

Hajba, Marko; Grubišić, Luka
sažetak izlaganja sa skupa, 10th VOCAL Optimization Conference: Advanced Algorithms, 2024.

Detecting Near Resonances in Acoustic Scattering

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

Optimal control of parabolic equations - a spectral calculus based approach

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

Tensorial Neural Networks for Eigenvalue Problems

Hajba, Marko; Grubišić, Luka
neobjavljeni prilog sa skupa, 2023.

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

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

Quasi resonances in acoustic scattering: analysis and algorithms

Grubišić, Luka
neobjavljeni prilog sa skupa, 2023.

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

Grubišić, Luka
sažetak izlaganja sa skupa, Abstracts' book : 25th Conference of the International Linear Algebra Society, 2023.

Fem Approximations of the Operator Lyapunov Equation Have Low Rank

Grubišić, Luka; Hakula, Harri
neobjavljeni prilog sa skupa, 2023.

Stochastic collocation method for computing eigenspaces of parameter-dependent operators

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

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

Giani, Stefano; Engström, Christian; Grubišić, Luka
izvorni znanstveni rad, 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
izvorni znanstveni rad, 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
sažetak izlaganja sa skupa, XXI Householder Symposium on Numerical Linear Algebra, Program and Book of Abstracts, Selva di Fasano 2022, 2022.

A subspace-accelerated method for solving nonlinear thermoacoustic eigenvalue problems

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

Surrogate modelling for detection of near resonances in acoustic scattering

Grubišić, Luka
neobjavljeni prilog sa skupa, 2022.

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

Grubišić, Luka ; Hakula, Harri
sažetak izlaganja sa skupa, 7th Croatian Mathematical Congress, 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
izvorni znanstveni rad, Journal of marine science and engineering, 2022.

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

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

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

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

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

Grubišić, Luka
sažetak izlaganja sa skupa, The 8th European Seminar on Computing (ESCO 2022), 2022.

Adapted Contour Integration for Nonlinear Eigenvalue Problems in Waveguide Coupled Resonators

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

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

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

Preconditioning the Quad Dominant Mesh Generator for Ship Structural Analysis

Grubišić, Luka ; Lacmanović, Domagoj ; Tambača, Josip
izvorni znanstveni rad, Algorithms, 2022.

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

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

Automatic mesh generation for structural analysis in naval architecture

Grubišić, Luka ; Lacmanović, Domagoj ; Prebeg, Pero ; Tambača, Josip
izvorni znanstveni rad, ICSOS 2021, 2021.

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

Grubišić, Luka ; Lazar, Martin ; Nakić, Ivica ; Tauttenhahn, Martin
sažetak izlaganja sa skupa, INdAM Workshop 2021 – Analysis and Numerics of Design, Control and Inverse Problems, 2021.

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

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

Fast solution methods for operator Lyapunov equations

Grubišić, Luka
sažetak izlaganja sa skupa, Mathematical Challenge of Quantum Transport in Nanosystems, 2020.

Spectral discretization errors in filtered subspace iteration

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

Diagonalization of indefinite saddle point forms

Grubišić, Luka ; Kostrykin, Vadim ; Makarov, Konstantin ; Schmitz, Stephan ; Veselić, Krešimir
izvorni znanstveni rad, Analysis as a Tool in Mathematical Physics: In Memory of Boris Pavlov, 2020.

Mesh adaptive solution method for Lyapunov equations - book of abstracts

Grubišić, Luka
sažetak izlaganja sa skupa, Tenth Conference on Applied Mathematics and Scientific Computing - ApplMath20, 2020.

Contour Integration Method for Nonlinear Eigenvalue Problems

Grubišić, Luka
sažetak izlaganja sa skupa, ESCO 2020 Book of Abstracts, 2020.

Analysis of FEAST Spectral Approximations Using the DPG Discretization

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

Direct solution method for the equilibrium problem for elastic stents

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

The Tan 2Θ Theorem in fluid dynamics

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

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

Filić, Mia ; Grubišić, Luka ; Filjar, Renato
izvorni znanstveni rad, Proc of 11th Annual Baška GNSS Conference, 2018.

Machine learning techniques for modeling ships performance in waves

Grubišić, Luka ; Mandić, Dino ; Mudronja, Luka ; Grubišić, Izvor
izvorni znanstveni rad, Proceedings of the Transport Research Arena 2018, 2018.

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

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

Quasi-semidefinite eigenvalue problem and applications

Grubišić, Luka ; Tambača, Josip
izvorni znanstveni rad, Nanosystems, 2017.
Nanosistemy: fizika, himiâ, matematika

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

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

Double angle theorems for definite matrix pairs

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

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

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

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

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

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

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

Discrete perturbation estimates for eigenpairs of Fredholm operator-valued functions

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

A Subspace Iteration Algorithm for Fredholm Valued Functions

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

Resolvent estimates and eigenvalue decay of solutions to Lyapunov operator equations

Grubišić, Luka ; Kressner, Daniel
sažetak izlaganja sa skupa, 2014.

On the eigenvalue decay of solutions to operator Lyapunov equations

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

The rotation of eigenspaces of perturbed matrix pairs II

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

Representation Theorems for Indefinite Quadratic Forms Revisited

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

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

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

The tan (2THETA) Theorem for Indefinite Quadratic Forms

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

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

Giani, Stefano ; Grubišić, Luka ; Ovall, Jeffrey S.
izvorni znanstveni rad, Computing, 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.
sažetak izlaganja sa skupa, MAFELAP 2013, 2013.

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

Giani, Stefano ; Grubišić, Luka ; Miedlar, Agnieszka ; Ovall, Jeffrey
izvorni znanstveni rad, Oberwolfach Report 56, 2013.

Benchmark results for testing adaptive finite element eigenvalue procedures

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

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

Giani, Stefano ; Grubišić, Luka ; Ovall, Jeffrey
sažetak izlaganja sa skupa, IWASEP 9: 9th International Workshop on Accurate Solution of Eigenvalue Problems - book of abstracts, 2012.

The Rotation of Eigenspaces of Perturbed Matrix Pairs

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

Error representation formula for eigenvalue approximations for positive definite operators

Grubišić, Luka ; Nakić, Ivica
izvorni znanstveni rad, 2012.
Operators and Matrices

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

Giani, Stefano ; Grubišić, Luka ; Ovall, Jeffrey.
sažetak izlaganja sa skupa, ESCO 2012, Pilsen, 2012.

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

Grubišić, Luka ; Miedlar, Agnieszka ; Ovall, Jeffrey
sažetak izlaganja sa skupa, Householder Symposium XVIII on Numerical Linear Algebra, 2011.

Pseudospectral Picture of the Seismic Algorithm for Surface Multiple Attenuation

Drmač, Zlatko ; Grubišić, Luka ; Jeričević, Željko
izvorni znanstveni rad, MIPRO, 2011 Proceedings of the 34th International Convention, 2011.

On Estimators for Eigenvalue/Eigenvector Approximations

Grubišić, Luka ; Ovall, Jeffrey
izvorni znanstveni rad, Mathematics of computation, 2009.

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

Grubišić, Luka
izvorni znanstveni rad, Integral equations and operator theory, 2009.

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

Grubišić, Luka ; Kostrykin, Vadim ; Makarov, Konstantin A. ; Veselić, Krešimir
sažetak izlaganja sa skupa, 80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 2009.

A robust hierarchical eigenvalue/eigenvector enhancement

Bank, Randolph E. ; Grubišić, Luka ; Ovall, Jeffrey
izvorni znanstveni rad, Linear and Nonlinear Eigenproblems for PDEs, Mathematisches Forschungsinstitut Oberwolfach, Report No 37/2009,, 2009.

Numerical linear algebra for spectral theory of block operator matrices

Grubišić, Luka ; Kostrykin, Vadim ; Makarov, Konstantin A. ; Veselić, Krešimir
sažetak izlaganja sa skupa, Householder Symposium XVII Book of Abstracts, 2008.

On quasi-definite quadratic forms in a Hilbert space

Grubišić, Luka ; Kostrykin, Vadim ; Makarov, K ; Veselić, Krešimir
sažetak izlaganja sa skupa, Fifth Conference on Applied Mathematics and Scientific Computing, 2007.

On Temple--Kato like inequalities and applications

Grubišić, Luka
izvještaj, arxiv.org, 2007.

On weakly formulated Sylvester equations and applications

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

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

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

On relative perturbation theory for block operator matrices

Grubišić, Luka ; Veselić, Krešimir ; Tambača, Josip
sažetak izlaganja sa skupa, 6th International Congress on Industrial and Applied Mathematics, 2007.

Estimates for the spectral asymptotic in a Large Coupling Limit

Grubišić, Luka
sažetak izlaganja sa skupa, 2006.

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

Grubišić, Luka ; Drmač, Zlatko ; Kostrykin, Vadim ; Veselić, Krešimir
sažetak izlaganja sa skupa, 2006.

A posteriori estimates for eigenvalue/vector approximations

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

On eigenvalue and eigenvector estimates for nonnegative definite operators

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

On Ritz Approximations for Positive Definite Operators I (Theory)

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

Extracting spectral information from large "singularly perturbed" matrices

Grubišić, Luka
sažetak izlaganja sa skupa, 2006.

On Accuracy Of Hierarchical Rayleigh-Ritz Methods

Grubišić, Luka
sažetak izlaganja sa skupa, 2006.

Saturation assumptions for Rayleigh--Ritz eigenvalue approximations

Grubišić, Luka
sažetak izlaganja sa skupa, 2005.

Temple-Kato inequalities and applications in Mathematical Physics

Grubišić, Luka
sažetak izlaganja sa skupa, 2004.

On Ritz Approximations for Positive Definite Operators

Grubišić, Luka
sažetak izlaganja sa skupa, 2003.

Approximating Invariant Subspaces of Elliptic Operators

Grubišić, Luka ; Veselić, Krešimir
sažetak izlaganja sa skupa, 2002.

Numeričko računanje parcijalnog problema vlastitih vrijednosti za simetrične matrice

Grubišić, Luka
magistarski rad (mr. sc. i mr. art.), 2001.

On Simulations of Random Fields on Bounded Domains

Grubišić, Luka ; Limić, Nedžad ; Valković, Vladivoj
izvorni znanstveni rad, Applied Mathematics and Computation, 2001.
Detaljno o radovima

Izabrani projekti

  • Stohastičke aproksimacije malog ranga i primjene na parametarski ovisne probleme, Hrvatska Zaklada za Znanost (Zagreb), 2020-01 to 2024-01, GRANT_NUMBER: IP-2019-04-6268
  • Razvoj efikasne metodologije za analizu konstrukcije plovnih objekata metodom konačnih elemenata, Europska komisija, EFRR - European Regional Development Fund KK.01.2.1.01.0124, više informacija.