Matthias Moller | Delft University of Technology (original) (raw)

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Papers by Matthias Moller

Research paper thumbnail of Erratum to: Algebraic flux correction for nonconforming finite element discretizations of scalar transport problems

Research paper thumbnail of Adaptive high-resolution finite element schemes

Research paper thumbnail of On the importance of data encoding in quantum Boltzmann methods

arXiv (Cornell University), Feb 10, 2023

Research paper thumbnail of The Role of PDE-Based Parameterization Techniques in Gradient-Based IGA Shape Optimization Applications

arXiv (Cornell University), Jan 29, 2020

Research paper thumbnail of Temporal oscillations in the simulation of foam enhanced oil recovery

ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery, Aug 29, 2016

Research paper thumbnail of Boundary-conforming finite element methods for twin-screw extruders using spline-based parameterization techniques

Computer Methods in Applied Mechanics and Engineering, Apr 1, 2020

Research paper thumbnail of A hybridized discontinuous Galerkin framework for high-order particle–mesh operator splitting of the incompressible Navier–Stokes equations

Journal of Computational Physics, Apr 1, 2018

Research paper thumbnail of Shrink Wrap Mesh Generation Using Morphological Operators with Selected Applications

Zenodo (CERN European Organization for Nuclear Research), May 18, 2022

Research paper thumbnail of High-Order Isogeometric Methods for Compressible Flows. I. Scalar Conservation Laws

arXiv (Cornell University), Sep 28, 2018

Research paper thumbnail of Combining p-multigrid and multigrid reduced in time methods to obtain a scalable solver for Isogeometric Analysis

arXiv (Cornell University), Jul 12, 2021

Research paper thumbnail of A p-multigrid method enhanced with an ILUT smoother and its comparison to h-multigrid methods within Isogeometric Analysis

arXiv (Cornell University), Jan 7, 2019

Research paper thumbnail of High-Order Isogeometric Methods for Compressible Flows : II: Compressible Euler Equations

arXiv (Cornell University), 2020

Research paper thumbnail of QPack: Quantum Approximate Optimization Algorithms as universal benchmark for quantum computers

arXiv (Cornell University), Mar 31, 2021

Research paper thumbnail of Efficient p-Multigrid Based Solvers for Isogeometric Analysis on Multipatch Geometries

Springer eBooks, Aug 10, 2020

Research paper thumbnail of Implicit FEM-FCT algorithm for compressible flows

Research paper thumbnail of Extension of B-spline Material Point Method for unstructured triangular grids using Powell–Sabin splines

Computational particle mechanics, Mar 26, 2020

Research paper thumbnail of Three-dimensional semi-idealized model for tidal motion in tidal estuaries

Ocean Dynamics, Dec 8, 2015

Research paper thumbnail of QPack Scores: Quantitative performance metrics for application-oriented quantum computer benchmarking

arXiv (Cornell University), May 24, 2022

Research paper thumbnail of Review and perspectives in quantum computing for partial differential equations in structural mechanics

Frontiers in Mechanical Engineering

Structural mechanics is commonly modeled by (systems of) partial differential equations (PDEs). E... more Structural mechanics is commonly modeled by (systems of) partial differential equations (PDEs). Except for very simple cases where analytical solutions exist, the use of numerical methods is required to find approximate solutions. However, for many problems of practical interest, the computational cost of classical numerical solvers running on classical, that is, silicon-based computer hardware, becomes prohibitive. Quantum computing, though still in its infancy, holds the promise of enabling a new generation of algorithms that can execute the most cost-demanding parts of PDE solvers up to exponentially faster than classical methods, at least theoretically. Also, increasing research and availability of quantum computing hardware spurs the hope of scientists and engineers to start using quantum computers for solving PDE problems much faster than classically possible. This work reviews the contributions that deal with the application of quantum algorithms to solve PDEs in structural m...

Research paper thumbnail of Residual Statics Estimation with Quantum Annealing

83rd EAGE Annual Conference & Exhibition

Research paper thumbnail of Erratum to: Algebraic flux correction for nonconforming finite element discretizations of scalar transport problems

Research paper thumbnail of Adaptive high-resolution finite element schemes

Research paper thumbnail of On the importance of data encoding in quantum Boltzmann methods

arXiv (Cornell University), Feb 10, 2023

Research paper thumbnail of The Role of PDE-Based Parameterization Techniques in Gradient-Based IGA Shape Optimization Applications

arXiv (Cornell University), Jan 29, 2020

Research paper thumbnail of Temporal oscillations in the simulation of foam enhanced oil recovery

ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery, Aug 29, 2016

Research paper thumbnail of Boundary-conforming finite element methods for twin-screw extruders using spline-based parameterization techniques

Computer Methods in Applied Mechanics and Engineering, Apr 1, 2020

Research paper thumbnail of A hybridized discontinuous Galerkin framework for high-order particle–mesh operator splitting of the incompressible Navier–Stokes equations

Journal of Computational Physics, Apr 1, 2018

Research paper thumbnail of Shrink Wrap Mesh Generation Using Morphological Operators with Selected Applications

Zenodo (CERN European Organization for Nuclear Research), May 18, 2022

Research paper thumbnail of High-Order Isogeometric Methods for Compressible Flows. I. Scalar Conservation Laws

arXiv (Cornell University), Sep 28, 2018

Research paper thumbnail of Combining p-multigrid and multigrid reduced in time methods to obtain a scalable solver for Isogeometric Analysis

arXiv (Cornell University), Jul 12, 2021

Research paper thumbnail of A p-multigrid method enhanced with an ILUT smoother and its comparison to h-multigrid methods within Isogeometric Analysis

arXiv (Cornell University), Jan 7, 2019

Research paper thumbnail of High-Order Isogeometric Methods for Compressible Flows : II: Compressible Euler Equations

arXiv (Cornell University), 2020

Research paper thumbnail of QPack: Quantum Approximate Optimization Algorithms as universal benchmark for quantum computers

arXiv (Cornell University), Mar 31, 2021

Research paper thumbnail of Efficient p-Multigrid Based Solvers for Isogeometric Analysis on Multipatch Geometries

Springer eBooks, Aug 10, 2020

Research paper thumbnail of Implicit FEM-FCT algorithm for compressible flows

Research paper thumbnail of Extension of B-spline Material Point Method for unstructured triangular grids using Powell–Sabin splines

Computational particle mechanics, Mar 26, 2020

Research paper thumbnail of Three-dimensional semi-idealized model for tidal motion in tidal estuaries

Ocean Dynamics, Dec 8, 2015

Research paper thumbnail of QPack Scores: Quantitative performance metrics for application-oriented quantum computer benchmarking

arXiv (Cornell University), May 24, 2022

Research paper thumbnail of Review and perspectives in quantum computing for partial differential equations in structural mechanics

Frontiers in Mechanical Engineering

Structural mechanics is commonly modeled by (systems of) partial differential equations (PDEs). E... more Structural mechanics is commonly modeled by (systems of) partial differential equations (PDEs). Except for very simple cases where analytical solutions exist, the use of numerical methods is required to find approximate solutions. However, for many problems of practical interest, the computational cost of classical numerical solvers running on classical, that is, silicon-based computer hardware, becomes prohibitive. Quantum computing, though still in its infancy, holds the promise of enabling a new generation of algorithms that can execute the most cost-demanding parts of PDE solvers up to exponentially faster than classical methods, at least theoretically. Also, increasing research and availability of quantum computing hardware spurs the hope of scientists and engineers to start using quantum computers for solving PDE problems much faster than classically possible. This work reviews the contributions that deal with the application of quantum algorithms to solve PDEs in structural m...

Research paper thumbnail of Residual Statics Estimation with Quantum Annealing

83rd EAGE Annual Conference & Exhibition

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